Probability Word Problems
Probability is the likelihood or chance that something is the case or will happen.
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There are four choices of apple and orange. How many combinations are there?

Three apples cost as much as four pears. 3 pears cost as much as 2 oranges. how many apples cost as much as 72 oranges?

Have 8 navy blue socks, 5 black socks. what is the porbability of two socks matching?

29 out of 200 chickens contaminated. If chicken infected, test will return positive 80% of the time. If chicken not infected, test will return "false" positive 5% of the time. If test is positive, what is the probability that chicken is actually infected?

Two cards are simultaneously drawn from an ordinary deck. What is the probability that they are not both the same suit?

A cheese pizza can be ordered with some, all, or none of the following toppings: sausage, pepperoni, ham, peppers, mushrooms, olives, anchovies, pineapple, and onion. How many different variations are available for ordering a pizza?

Drawing 3 cards that are all aces from a deck of cards?

Selena has 4 exams ( A, B, C,D) to study for this week. How many different ways can she arrange her study time.

How many 3 topping pizzas could be made if you have 10 toppings to choose from?

Lisa is planning the seating for a head table at a gala. The eight speakers will all be seated along one side of the table. Richard wants to be sit beside Hang, and lisa knows that Thomas and Lily should not be seated together, as they have just broken up. In how many ways can Lisa make up the seating plan?

Kate has a red pair of shoes, a blue pair of shoes, and a green pair of shoes. She has a yellow and an orange purse. How many different ways can she wear one pair of shoes and one pair of purse?

Jim sells soup at his stand. He sells lentil, split pea, and navy bean soup. They also come in four different sizes. How many different types of soup does he sell?

An airplane has two independent alternators to provide electrical power. The probability that a given alternator wil fail on a one hour flight is .02. What is the probability that a) both will fail b) neither will fail c) one or the other will fail?

What is the probability of drawing two cards that are not in the same suit when drawn simultaneously?

A student notices that if he is late for college on one day, he is three times more likely to be late on the next day. If he is early on one day, he is equally likely to be early or late on the next day. Draw a tree diagram to show all the possible outcomes for three successive days. ( Assume that the student was early on the day before the 3 days under consideration.)

In how many different ways can 11 different books be distributed to Abe, Carol and Ben if each is to receive at least 2 books?

There are 3 sky blue marbles and 3 hot pink marbles in a bag. What is the probability that I will draw out 1 sky blue marble, and 1 hot pink marble?

You have twentytwo socks. Fortunately, you only have two colors white and blue. How many socks do you need to draw before you get a matching pair?

A spinner is divided into five equal sections numbered 1 through 5. predict how many times out of 240 spins the spinner is most likely to stop on an odd number.

There are 3 bags of apples, one has two green apples, one has two red apples and one has 1 green and 1 red apple. All three bags are mislabeled. You may look at only one apple from any one of the bags. Which bag should you select from to be sure you can determine the contents of all three bags?

If the chances of snow or sleet last Saturday was three out of ten and the chance of snow or sleet this Saturday was four out of ten what were the chances of snow or sleet happening both weeks?

During a root enzyme experiment, Grace determined the dry weight of mustard roots so she could make some calculations. These were pretty small mustard plants so she had to use a good balance to get the data. She measured one set (A) of roots and obtained masses of 0.06, 0.09, 0.08, 0.05, and 0.05 grams. Another set (B) had masses of 0.1, 0.11, 0.09, 0.11, and 0.04 grams. Which set had the greatest average mass?

In a fair game (50/50 chance of winning) two guys bet $100 each. The first one to win 6 games takes the pot. They decided to stop when A had won 5 games and B had won 3 games. How should they distribute the pot.

What is the probability of obtaining a sum of at least 6 when rolling a pair of dice?

If there are 25 names in a hat, 15 girl’s names and 10 boy’s names, what is the probability that a name drawn at random will be I. a girl’s name II. a boy’s name III. not a girl’s name IV. not a boy’s name

A container of jelly beans contains 50 buttered popcorn, 65 strawberry, 80 cinnamon, and 45 orange. How many must be selected to guarantee that you have at least 30 of one flavor?

John wants to paint four rooms in his house, each a different color and he may choose from seven different colors of paint. How many color combinations are possible for the four rooms?

Find the IQ score separating the top 85% from the others. Assume adults that have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15.

At the picnic, there is a plate of 3 dill pickles, 2 bread and butter pickles, and 1 sweet pickle. What is the probability that Shawn will randomly pick a dill pickle and then a sweet pickle to eat?

A drawer contains 8 black socks, 18 green socks, 12 blue socks and 11 brown socks. If the drawer is in a darkened room, how many socks must you grab to be certain you have four matching socks.

A mall has 12 clothing stores, 9 shoe stores and 5 electrical stores. In how many ways can a person shopping at this mall go to 5 clothing stores, 4 shoe stores and 3 electronic stores?

There are three sections of science class available at the convinient times for student. There is 24% chance from Professor Praful to give final exam, 15% chance for professor Ron, and 8% chance for Professor Sam to give final exam. At other times there are two maths classes, and in those the probability to give final exam is 2% and 10%. Find the probability the student randomly chooses one math and science take final exam at least once.

A bag contains 6 blue discs, 10 orange discs and 4 red discs. If a disc is picked at random, what is the probability of getting : a blue, orange or red disc?

If P(A) = 3/8 What are the odds for A What are the odds against A

A bowl with 2 yellow marbles, 1 blue and 2 red. If you pick one marble from the bowl , list the possible outcomes of the draw.

In a certain high school 65% of students own cell phonoes. 35% own MP3 players. 20% own both cell phones and MP3 players. Identify the probability that a student has either a ceell phone or an MP3 players. Identify the paobaility that a student has only an MP3 player. Identify the probability that a student has neither a cell phone or an MP3 player.

There are 4 digits on a lock, its each digit is 29 How many combonations are there?

A bag of jelly beans contains 12 cherry, 15 lemon, 17 lime, 13 strawberry, and 18 orange jelly beans. Find the probability that Kelly will get two lemon jelly beans.

A bag contains 6 green marbles, 6 blue marbles, 5 yellow marbles , 13 red marbles, and 10 purple marbles. What is the probability of pulling out a green or a purple?

11 people are racing. What are the odds of being 1st, 2nd or 3rd?

A barrel contains only apples and oranges. There are twice as many apples as oranges. The apples are either red or yellow and 4 times as many red as are yellow. If one piece of fruit is to be drawn at random from the barrel, what is the probability that the piece drawn will be a yellow apple?

There are 3 entrances and 3 exits to a large parking lot. find the total of number of different ways a driver can enter and exit a parking lot.

A family wants to have 6 children. How many ways are there to have at least 2 boys?


43% are wearing seatbelt and 57% are not wearing seatbelt. Randomly pick 2 people. What is probability that both will be wearing seatbelt

Find the number of distinguishable permutations in the letters SCHOOL?

If the city of Esperanza is 9000 miles from Davao, and Davao is 9000 miles from New York City, what is the probability that New York City is closer to Esperanza than Davao? (Circumference of the earth is 24,900 miles)

Only 91% of the airplane parts Amelia is examining pass inspection. What is the probability that all of the next five parts pass inspection?

If you have 5 oranges and 7 apples, and you have to fit 10 into a basket what do you do?

Adam has a bag of marbles. There are 5 red marbles, 6 blue marbles and 2 yellow marbles. If he takes one marble out of his bag at random, what is the probability that the marble will be yellow?

A bag contains 6 black, 4 blue, 3 green, 5 yellow, and 4 red marbles. What is the proability of randomly pulling out a blue marble?

There are 9 pieces and 6 are cracked. What is the probability of getting no cracked, when you pick 2?

You are rolling two standard 6 sided dice. One die is red and the other is blue. What is the probability of getting 5 on the red die and 2 on the blue?

If there are 6 restaurants to choose from and you want to try 4 of them how many groups of restaurants can we go to?

There are 6 purple socks and 4 orange socks in a drawer. Zucky picked one sock with out looking and another without looking (or replacing the first). What is the probability that he picked 2 purple socks?

A deck of cards had 6 purple 6 navy and 4 brown. You pick 3 cards from the deck. Cards are not returned to the deck after they are picked. Pick 3 brown in a row.


From a barrel of colored marbles, you randomly select 1 blue, 6 yellow, 7 red, 4 green, and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow.

There are 20 runners in a race. How many ways can they come in first through fith place?

Find the number of different permutations of the letters in the word LILLY

If Sasha pulls out 2 socks at once, what is the probability she pulls out yellow and black?

The school day consists of four block classes, each 90 minutes long. Lunch is 30 minutes. Passing time between classes and lunch is 5 minutes. What is the probability that a fire drill with begin during lunch?

A drawer contains 4 blue socks, 6 gray socks, and 8 black socks. You randoml choose one sock, then another from the drawer. What is the probability that you choose 2 socks that match?

Suppose we have 12 firms. 5 type A firms and 7 type B firms. In how many ways can a syndicate of 4 be formed?

The probability of getting a red lollipop is 1/6 and the probability of getting a red gumball out of the candy jar is 1/8. What s the probability of getting both candies.


Leila and Markus have 3 red marbles and 2 green and 1 orange. What is all the combinations of what would be drawn?

In a Bag of M&M`s there are 30 pieces. Five are green, 5 are orange, 7 are brown, 3 are blue, 2 are yellow and 8 are red. Find the probability of 3 green and 3 brown.

There are 12 candidates in a city election. The winner will be the mayor, and the runnerup will be the vicemayor. How many different combinations of mayor and vicemayor ae possible?

In how many ways can a committee of 5 people be selected from 10 men and 6 women, if the committee contains exactly 3 men and if a particular man and woman refuse to serve on a committee together?

If a school offers 9 different subjects, how many different schedules of 5 classes are possible?

Seven people are interviewed for a possible promotion. In how many ways can the seven candidates be scheduled for the interview?

Six churches form a softball league. If each team must play every other team twice during the season, what is the total number of league games played?

A red, a blue, a green, a yellow, and an orange marble are in a bag. How many different ways can a person choose 2 marbles from the bag?

There are four different floor plans, five exterior colors, and an option of either a twocar or three car garage. How many choices are there for one home?

A deck of cards has 5 purple, 4 gray, and 6 green cards. You pick 4 cards from the deck. Cards are not returned to the deck after they are picked. P (four purple cards in a row)

A jar contains 7 red marbles, 7 pink marbles, and 13 blue marbles. If a marble is selected at random, what is the probability that it is blue?.

How many combinations are there in w,i,n with no spaces with repeats?

how many combinations are in the letters WIN?

7 women and 14 men in a group, how many groups can have exactly one woman?

A bag contains 8 green marbles and 12 blue marbles.. You draw a marble, return it to the bag and draw another. What is the probability of drawing two green marbles?

A jar on your desk contains twelve black, eight red, ten yellow and five green jelly beans. You pick a jelly bean without looking. Find a) the probability that it is red or black b) the probability that it is not yellow c) the odds of picking a green jelly bean d) the odds in a favor of picking a red or black jelly bean

There are three red marbles and two white marbles in a bag. What is the probability of picking one red marble followed by another red marble? (Assume that you keep the first marble out of the bag.)

Julie, Corinne, Darci, and Michelle are swimming in a relay race. How many ways can you order the last two swimmers? Explain your reasoning.

You want to buy 5 cds. If you have enough money for only 2 cds how many choices do you have?

There are 10 soccer players and 8 volleyball players in a room. How many different groups of 2 players can be chosen so that there are no soccer players in the group? So that there are no volleyball players in the group?

How many different ways can 23 pearls be strung and worn (noting you can flip necklace over to wear in a different way)?

How many different 4member committees can be chosen from a panel of 10 people?

A shoebox has 4 green cubes, 3 purple cubes, and 5 orange cubes. Whats the probability of: a.) P(2 purple cubes) b.) P(2 cubes of the same color) c.) P( 1 green, 1 purple) d.) P( at least 1 orange cube or 1 purple cube)

Onefourth of the residents of the Burning Ridge Estates leave their garage doors open whe they are away from home. The local cheif of police estimates 5 percent of the garages open will have something stolen, but only 1 percent of those closed will have something stolen. If a garage is robbed, what is the probability the doors were left open?

There were 6 purple and 4 orange socks in Zeke`s drawer. What is the probability that he picked 2 purple socks?

Find the number of permutations of the letters in word LILLY.

The probability that San Fransisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Fransisco plays in the next Super Bowl plus the probability that they do not play is one. What is the probability that San Fransisco plays in the Next Super Bowl.

There are 5 dancers standing in a horizontal line on a stage. In how many different ways could the director place the dancers in this line?

Suppose a contest offers $1,000 to the person who can guess the winning four digit number. How many possibilities are there?

Find the probability of each outcome if two marbles are selected from the bag containing 3 red marbles, 4 blue marbles, and 2 green marbles. the first marble is not replaced before the second marble is selected  selecting a blue marble first  selecting a yellow marble first  selecting a red marble followed by a blue marble  selecting a green marble after selecting two marbles that are not green

An office consists of 80 employees: 20 of them are male, and 56 of them are from NJ. If the events of selecting a male and selecting a NJ resident are independent, how many of the employees are male NJ residents? Hint: make a 2x2 table with rows M,F and columns N (for NJ resident) and Nbar.

Suppose that 49% of the women who gave birth at a certain hospital last year were over 30 years old, and that 47% were unmarried. If 74% of the women were over 30 or unmarried (or both), what is the probability that a woman who gave birth at the hospital was both unmarried and over 30 ?

A jar contains three colored marbles: 10 red, 15 green, and 25 blue. If you were to choose without looking, what is the probability of selecting a blue marble?

simplify: (3n4)!(3n)!/ (3n+3)!

If you roll the dice 36 times, what is the probabilities of rolling a 1?

Last fall, a gardener planted 74 tulip bulbs. She found that only 62 of the bulbs bloomed in the spring. a) Find the empirical probability that a tulip bulb of this type will bloom b) How many of the bulbs should she plant next fall if she would like at least 95 to bloom?

What is the probability of spelling "RUNNERS"?

If there are 20 red marbles and 15 blue marbles what would be the probability of choosing one blue marble from a bag?

Sam had 10 marbles in a bag; 3 brown and 7 yellow, how likely is it that he will choose a brown marble?

30% of a firm`s orders come from new customers. A simple random sample of 100 orders will be used to estimate the proportion of new customers. Find probability that sample proportion will be between 0.22 and 0.40.

From 8 girls and 6 boys, a group of 4 students is to be chosen at rando to participate in an opinion poll. What is the probability that more than 2 girls will be chosen?

Two cards are chosen at random (uniformly) from a 52 card deck. Find the probabilities of the following events. (a) Both cards are red. (b) One card is an even number, 210, while the other is a spade. (c) One card is black, while the other is a face card (jack, queen or king). (d) Either both the cards are black, or both the cards are face cards (jack, queen or king).

Steve and Joe were discussing how many different fivecard combinations of standard playing cards have exactly two suits. How many hands are possible?

A traffic light is red for 38 seconds, yellow for 10 seconds, and green for one minute and twelve seconds in a constantly repeating cycle. What is the probability that at the moment a passing pedestrian glances at it the light will be green?

A test has 4 choices a b c and d. If a student answers all 3 questions, what is the probability he got all of them correct?

A bag contains 12 yellow and 6 green marbles. What is the probability of finding a yellow marble at random?

A bag contains five red candies, six white candies, and seven blue candies. Suppose one piece of candy is drawn at random. Find the probability of each of the following. a. A white candy is drawn. b. A red or blue candy is drawn. c. Neither a white nor a blue candy is drawn.

Cedric has 5 keys to put on a key ring. How many different ways can the keys be arranged on the key ring?

Probability that a teacher will give an announced test during any class meeting is 1/5. If a student is absent twice then find the probability that he will miss at least one test?

A bag contains 3 red, 4 green and 3 yellow marbles. These marbles are randomly drawn from the bag. What is the probability that they are of (i) the same colour (ii) different colours(one of each colour)

76% of second grade girls are taller than 40 inches, the average height of second grade girls is 42 inches, what percent are taller than 45 inches?

How many combinations of three leters can be made from the word RED?

Suppose you randomly draw two marbles, without replacement from a bag, containing six green, four red and three black marbles. Determine the probability that you pick at least one green marble.

A jar contains six red jelly beans, three purple jelly beans and six yellow jelly beans. What is the probability that a jelly bean randomly selected from the jar will be a purple jelly bean?

A drawer contains 8 red socks, 3 white socks, and 5 blue socks. Without looking, you draw out a sock and then draw out a second sock without returning the first sock. What is the probability that the first sock and the second sock are both white?

Hank has 34 green lures, 42 silver lures, 18 orange lures, and 23 yellow lures in his fishing box. If he grabs 1 fishing lure without looking, what color lure will he probably pick?

Of the 148 students honored at an academic banquet, 40 won awards for mathamatics and 82 for English. One of the 148 students is chosen at random to be inter viewed for a newspaper article. What is the probability that the student won an award in matematics or English, given that 12 won awards for both?

A pizza restaurant offers two different kinds of crust and six different toppings. How could you simulate a random selection of a 1item pizza?

The letters of the word STATISTICS are written on ten cards. If two cards are drawn at random, what is the probability that 1) one S and one T will occur 2) two T will occur

Distinguishable ways can the letters in the word PROBABILITY form?

A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking. Find P (blue or purple). Write your answer as a fraction in simplest form.

If a fair coin is tossed 5 times, what is the probability of the coin showing tails all 5 times?

A test has several multiple choice questions, each with 5 choices. If you guess on one question, what is the probability of getting it correct?

A bag of marbles contains 4 black, 4 gray and 5 white marbles. Find the probability of picking a black marble then picking a gray marble without first replacing the black marble.

On Saturday evening, 34% of the people in Chicago go out to dinner, 18% see a movie, 13% have a party, and 35% stay at home. 17 people are randomly selected. Can the probability that exactly 4 of them stay home be computed using a binomial model?

Martha has six brown socks and eight black socks. If she randomly selects two socks from the drawer simultaneously, what is the probability that they are the same color?

Test for high school students with a 3.50 to 4.00 grade point average were normally distributed, with a mean of 38.8 and a standard diviation of 1.9. A student with a 3.5 to 4.00 grade point average who took the standarized tes is randomly selected. The probability of a student scoring less than 36 is?

A panel of judges is to consist of four women and three men. A list of potential judges includes seven women and six men. How many different panels could be created from this list?

A recruiting firm finds that 30% of the applicants for a certain industrial job have advanced training in computer programming. Applicants are interviewed sequentially and selected at random from the pool. Find the probability that the first applicant having advanced training in programming is found on the fifth interview.

How many ways can you arrange 5 books on a book shelf?

A bag contains 6 orange, 7 green, and 8 yellow marbles. What is the probability of picking 3 yellow marbles if each marble is not returned to the bag before the next marble is picked?

There are 6 books but you can only choose 4 of them. How many combinations of 4 books could you choose from those 6?

A hat contains 26 names, 16 of which are male. If six names are randomly drawn from the hat, what is the probability that at least four female names are drawn?

In a bag there are three coloured balls, one red, one blue, and one green. A ball is selected, the colour recorded and replaced. A second ball is selected and the colour recorded. Show in a tree diagram all the possible combined outcomes. List these combined outcomes. Work out the probability of selecting 2 red balls. Work out the probability of selecting a blue and a green ball.

A football team won 8 games and lost 3 games, this season. What is the probability that they won game 9?

A bag contains four times as many as blue marbles than brown. If there is no other color and a boy picks up two marbles, what is the probability that it would be blue ?

A bag contains 5 red marbles, 3 green marbles and 2 blue marbles. What is the probability of selecting a red marble and then a green marble without replacing the red marble?

Micheal needs new clothes for school by next week. He went to the mall to shop likes 7 skirts 3 pairs of sneakers and 10 pair of jeans. How many ways can micheal put his clothing together.

A combination lock will open when the right choice of three numbers (from 1 to 40, inclusive) is selected. How many different lock combinations are possible?

A drawer has 6 gray socks, 4 blue, 5 black, and 9 white socks. You are looking for a pair of socks, so you take one, put it aside, and then take another one. Find the probability of getting exactly one gray sock and the probability of getting at least one gray sock.

All 7 digit numbers in a town start with 555. The last four digits cannot be a 0 or a 1. How many phone numbers can be assigned?

A jar of marbles contains 6 yellow and 8 red marbles. Three marbles are selected at random. a) How many different groups of three marbles are possible? b) How many groups of three marbles will contain only red ones? c) What is the probability that the group of marbles wil contain only red ones?

6 students are doing a gift exchange. How many ways can they exchange gifts? ( Can`t get your own gift)

The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl?

How many 7 member water polo squads can be made from 12 players if the same player is goalie for each squad?

Vick wants to create a secret code that consists of 4 letters. How many different combinations are possible if letters can be repeated?

An experiment consists of four outcomes with P(E1)=0.2, P(E2)=0.3, and P(E3)=0.4. What is the probability of outcome E4?

You have 8 DVDs: 2 science fiction, 2 western, 3 comedy, 1 drama. If you choose the DVDs at random, what is the probability that the first will be a western and the second a comedy?

How many distinguishable arrangements of the word PROBABILITY are there?

If two people are selected at random, what is the probability that they are both born in May?

What is the significance of the mean of a probability distribution?

Jukebox contains only 3 records: blue moon, blue suede shoes, and blue monday, probability that blue moon is playing is 1/6 and probability blue suede shoes is playing is1/3, what is the probability that blue monday is playing?

In France, years of life expectancy are normally distributed with a mean of 81 years and a standard deviation fo seven years. For the French population: a) What is the probability of living 92 years or more? b) What is the probability of living between 78 and 88 years?

In how many ways can 7 boys be seated at a round table so that two particulars boys are next to each other?

You have 16 jelly beans: 4 are red, 8 are green and 4 are yellow. What is the least amount of jelly you must have in your pocket to ensure you have one of each color?

A bag contains 3 red, 4 green, and 3 yellow marbles. These marbles are randomly drawn from the bag. What is the probability that they are of (i) the same color (ii) different colors (one of each color)?

7% of American population have Onegative blood. If 10 people give blood, what is the probability that at least 1 of them is a universal donor.

Teacher knows that 80 percent of the students will complete the assigned problems. She has also determined that among those who do their assignments, 90 percent will pass the course. Among those students who do their homework, 60 percent will pass. Mike Fishbaugh took statistics last year and passed. What is the probability that he completed the assignments?

Find the odds in favor of drawing a red marble when a marble is selected at random from a bag containing 2 yellow, 5 red, and 6 green marbles.

How many permutations are in the word LILLY?

If you were an alien, and wanted to abduct a male and female of the human species and your ship was hovering over a county with 338,391 inhabitants how many would have to be abducted to ensure a male and a female?

a group of eight women and six men must select a fourperson committee. How many committees are possible if it must consist of the following? a) any mixture of men and women

a basketball player makes 150 out of 210 free throws. what will be the estimate of his next free throw?

A bag contains 9 apples and 7 oranges. If you select 8 pieces of fruit without looking, how many ways can you get exactly 5 apples?

In a certain high risk group, the chances of a person getting infected with a virus are 60%. If four people are selected, find the probability that at least one person is infected.

Six students are seated in a row in a movie theater. In how many different oders can they be seated?

Two persons L and M decide to meet at a hotel between 4:00 p.m. and 5:00 p.m. on a certain day. They also agree that the one who comes first would wait for the other for 15 minutes. If the other person does not arrive within the waiting period of 15 minutes, they would not meet each other.

A biologist estimates that 70% of deer in the region carry a certain type of tick. For a sample of 300 deer selectetd at random, what is the chance that 216 or fewer deer have this tick?

If a baseball player`s batting average is 0.340 or 34%, find the probability that the player will have a bad season and only score at most 60 hits in 200 times at bat?

A student is taking a 10 question multiple choice quiz. There are four possible answers to each question. The student decides to guess at random on all 10 questions. What is the probability: the student will answer exactly 6 questions correctly? the student will answer at most 6 questions correctly?

a bag has 6 white socks and 4 blue socks.i picked 2 socks.find the probability that both are white

theres 5 lines of 39 people each what are the combinations

mitchell has a white cube and a black cube. the surface of each are numbered with a unique number from 1 to 6. If mitchell tosses the cubes, what is the probability he will get a 4 on the white cube and an odd numberon the black cube?

Four students are called to sit in four chairs on a stage. The students are Bob, Wanda, Carol, and Dan. Bob and Wanda are cousins. If the students are called up in random order and take seats in the order in which they are called, what is the probability that Bob and Wanda will sit next to each other

A card is selected from a deck of 52 playing cards. Find the probability of selecting a) a seven given the card is a not a face card. (An ace is not a face card.) b) a spade given the card is red.

suppose you toss 3 coins in the air. what is the probability that you will find that after they land there are at least two heads face up?

The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl?

How many even 5digit numbers can be formed from the numbers 1,2,4,7,8, if no digit is repeated?

A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully.

Air Pollution has damaged 24% of the trees in a state forest. 33% of the trees n the forest have been damaged by insects and 18% show both forms of the damage. What is the probability that a tree is damaged? What is the probability that a tree is undamaged?

A sock drawer has 2 blue pair, 4 white pair, 4 black pair. What is the probability you will pick out a black pair?

A person is robber by 3 individuals. The victum is asked to view a lineup of 8 suspects, in which the 3 who committed the crime are included. Suppose the victum chooses 3 at random. What is the probablity that 2 of the 3 are innocent?

a bag of jelly beans 18 red, 12 green, 10 purple, 6yellow and 4 orange find the probabily of selecting a green jellybeans

A fruit merchant sells mangoes for $2.20 each.He buys the mangoes in boxes of 12 for $15.

A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail (c) One or the other will fail? Show all steps carefully

what is the number of outcomes for a bag of marbles with 3 red, 6 blue, and 12 white marbles and a number cube 18?

In the last 8 games, a baseball player walked 13 times, got 11 hits, and struck out 26 times. The player is now coming up to bat. What do you think is the probability that this player strikes out?

A shipment of 50 television sets contains 4 defective units. How many ways can a vending company buy 4 of these units and receive 0 defective units?

Two dice are thrown at the same time, then their numbers showing on top are added together. Find the probability that their sum is an odd number larger than 6.

if the probability of picking a brown sock from your drawer is 0.4, and if you randomly picked 15 socks out of the drawer, about how many would be brown?

How many different arrangements can be made with the letters from the word MOVE?

suppouse you play a game in which you toss 2 coins.you win $10 if the coins match and you win nothing if the coins do not match. a.if it costs $5 to play would you expect people to want to play

The National Sporting Goods Association conducted a survey of persons 7 years of age or older about participation in sports activities (Statistical Abstract of the United States: 2002). The total population in this age group was reported at 248.5 million, with 120.9 million male and 127.6 million female. The number of participants for the top five sports activities appears here. Participants (millions) Activity Male Female Bicycle riding 23.7 19.5 Camping 24.1 25.8 Exercise walking 27.2 56.2 Exercising with equipment 21.9 25.9 Swimming 24.9 35.9 Q.) For a randomly selected female, estimate the probability of participation in each of the sports activities (to 2 decimals). Note that the probabilities do not sum to 1 because of participation in more than one sports activity. Bicycle riding Camping Exercise walking Exercising with equipment Swimming

determine the probability that a standard normal statistic will exceed 1.85

sixteen teams are competing in a soccer match. gold, silver, and bronze medals will be awarded to the top three finishers. in how many ways can the medals be awarded?

23% of hospital patients are smokers with an 18% chance of contracting serious illness, 77% of patients are non smokers with a .06% chance of contracting serious illness, what is the probability that a given patient is a smoker if the patient has a serious illness

Archie must travel to a foreign country where a deadly strain of flu has ravaged the population. Already,17 % of the population has succumbed to the flu and died. There is a vaccine, but because the flu is extremely contagious, it spreads quite rapidly, and to date only3 out of every 5 people have been vaccinated. Twenty percent of those who are not vaccinated die from the flu. Archie has just enough time to be vaccinated before he leaves. What is the probability that Archie will succumb to the flu and die while he is away? Round your answer to two decimal places.

there are 5 different floor plans, four exterior colors, and an option of a twocar or three car garage. How many choices are there for one home?

in 1995 the life expectancy of males was 69.8 years. in 2001 it was 72 years. let E represent the life expectancy in year T and let T represent the number of years since 1995

There are 9 red marbles, 7 green marbles, 5 blue marbles, and 4 white marbles in a bag. A first marble is drawn at random and another is drawn without replacing the first one. what is the probability that both marbles are blue?

find the probability of drawing the following colored candies from a jar containing 25 red, 15 blue, 20 green, 30 yellow, and 10 orange pieces of candy. P(yellow)

A cafe lunch menu offers a choice of a sandwich or salad, and four types of soup. Find the number of different combinations of a sandwich of salad, and a soup. Explain your answer.

andrella is taking fencing and singing lessons at winter camp.fencing lessons are$14 per lessons. skiing lessons are $19 per lessons.Andrella has spent $207 on lessons so far.how many of each type of lessons has she had

The probability that a house in an urban area will be burglarized is 60%. If 10 houses are randomly selected, what is the probability that more than 7 houses will be burglarized?

A hat contains 8 even cards and 6 odd cards, what is the probability of drawing two odd cards sequentially after replacing the first card?

If ten athletes are running the 100 meter das, how many ways can the gold, silver, and bronze medals be awarded?

A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking. Find P (blue or purple). Write your answer as a fraction in simplest form

from a group of 2 boys and 8 girls, a boy and a girl will be selected to attend a conference. in how many posible ways can the selection be made

Five varieties of flowers. They are being arranged in vases of three flowers. how many combinations can be made from the five varities of flowers

a sock drawer contains 10 white socks 6 black socks and 8 blue socks. if 2 socks are chosen random what is the probability of getting a pair of white sock?

you pick randomly from a jar of 12 green, 18 yellow and 20 red jelly beans. What is probability you pick a green jelly bean and then a yellow jelly bean?

A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking. Find P (red or white).write your answer as a fraction in simplest form

A large research hospital has accumulated statistical data on its patients for an extended period. Researchers have determiend that patients who are smolers have an 18% chance of contracting a serious illness such as heart disease, cancer, or emphysema, whereas there is only a .06 probability that a nonsmoker will contract a serious illness. From hospital records, the researchers know that 23% of all hospital patients are smokers, while 77% are non smokers. For planning purposes, the hospital physician staff would like to know the probability that a given patient is a smoker if the patient has a serious illness.

susie, krissy and kate walk into a pet store, each to select a puppy to take home. The pet store has a total of 12 puppies. In how many different ways can three puppies be paired with the new owners.

There are 2 Alphas for every 3 betas, 4 betas for every 5 deltas, and 1 delta for every 6 gammas. how many alphas are there for 45 gammas?

how many ways can you put 5 stamps so they are always attached

There are N people in the party. Everyone shakes hand with everyone else once. You cannot shake hands with yourself. Give algebraic expressions solving for N.

A drawer contains eight different pairs of socks if six socks are taken at random and without replacement compute the probability that there is atleast one matching pair among the six socks

In a bag there are 2 red, 3 yellow, 4 green, and 6 blue marbles What is the probability of P (blue)?

Last fall, a gardener planted 74 tulip bulbs. She found that only 62 of the bulbs bloomed in the spring.

if hank flips two coins and rolls two dice, how many permutations are possible

IF susie is late for school one day of the week, the probability she arrives on time the next day is 0.8. If she arrives on time one day, the arrives late the following day is 0.4. Susie was on time on Monday. what is the probability she was late on Thursday

48 member will sit in row in front of 300 member in audience. all the rows have the same number of chairs, what is the greated possible number of chiars in each row

In probability, if something is drawn successively, does that necessarily mean without replacement? for example, if a question said two marbles were drawn successively from a bag, does that mean the first marble was not replaced?

Among a large group of patients recovering from shoulder injuries, it is found that 22% visit both a physical therapist and a chiropractor, whereas 12% visit neither of these. The probability that a patient visits a chiropractor exceeds by 0.14 the probability that a patient visits a physical therapist. Determine the probability that a randomly chosen member of this group visits a physical therapist.

A record store owner assesses customers entering the store as high school age, college age, or older and finds that of all customers 30%, 50%, and 20%, respectively, fall into these categories. The owner also found that purchases were made by 20% of high school age customers, by 60% of college age customers, and by 80% of older customers. If a randomly chosen customer makes a purchase, what is the probability that this customer is high school age?

Find the probability of drawing a brown sock from a drawer of 4 brown socks, 10 black socks, and 6 gray socks, replacing it, then drawing a gray sock.

a state uses only the even digits 0 2 4 6 8 to create license plates. How many different four digit license plates can you create?

four boys and three girls are seated in a row at random to watch a play. What is the probability that A) agirl is seated at each end of the rowB) one of the boys is seated in the middle seat C) boys and girls are seated alternately?

Positive ..... Negative  HIV virus infected 57 3 Not HIV infected 997 18,943 If someone is randomly selected, find the probability of getting someone who tests positive or someone who is HIV infected

A girl wants to know how many combinations of four vegetable seeds that she can plant if she has tomatoes, cucumbers, beans, peas, carrot, & lettuce,

if 4 of 20 units are infected, what is the probability that a person getting 5 of 20 units will not be infected?

How many different license plates can be made from a three letter combination followed by a three digit number if the three digit number can start with any digit including 0.

A bag contains 10 red, 12 green, and 8 yellow marbles. Assuming that all marbles are equally likely to be picked from the bag, what is the probability that the second marble is yellow, given that the first marble was yellow

7 distinct flowers any combination of four can be chosent

In how many distinguishable ways can the letters in the word STATISTICS be written?

The menu has 5 toppings to choose from. Name all of the combinations

Mrs. Sander`s students are competing to see who can sell the most candy bars to help raise money for their class. The table below shows the 6 ranges that the students fall into and how many students are in each range. Number of Candy Bars Sold 015 1630 3145 4660 6175 Number of Students 6 2 4 4 4 If a student is selected at random, what is the probability that the student has sold between 61 and 75 candy bars?

A box contains 17 yellow, 26 green and 30 red jelly beans. If 13 jelly beans are selected at random, what is the probability that 7 are yellow?

A box contains 23 yellow, 26 green and 35 red jelly beans. If 15 jelly beans are selected at random, what is the probability that 5 are yellow

A random sample of 10 minitures toosie rolls was taken from a bag. Each piece was weighted on a very accurate scale. The results were in grams. 3.087, 3.131, 3.241, 3.270, 3.353, 3.400, 3.411, 3.437, 3.477. construct a 90% confidence interval for the true mean weight.

A small pack of jelly beans has 8 pink and 10 yellow jelly beans. If you select two to eat, what is the probability that two are pink?

Assume that the weight loss for the first two months of a diet program has a uniform distrbiution over the interval 6 to 12 pounds. Find the probability that a person on this diet loses more than 11 pounds in the first two months

20% of the population are minorities, what is the probability that a random chosen jury of 12 persons would contain no minority jurors?

20% of a college population is minority. If a 12 person jury is selected from that college population, what is the probability that there will be no minority jurors?

At a party attended by couples only, everyone other than the host had shaken hands a different number of times. How many times did the spouse of the host shake hands?

four married couples have bought eight seats in a row for a concert.In how many different ways can they be seated.If each couple sit together?

A contractor wishes to build 9 houses each different in desing.In how many ways can he place these homes on a street if 6 lots are on one side of the street and 3 lots are on the opposite side?

If Sam has six red socks and five blue socks in his dresser drawer, what is the probability he will pull out a red one in the dark?

Of the 20 lightbulbs in a box, 2 are defective. An inspector will select 2 lightbulbs simultaneously and at random from the box. What is the probability that neither of the lightbulbs selected will be one that is defective? Give your answer as a fraction

38. Onefourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 percent of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If a garage is robbed, what is the probability the doors were left open?

A laboratory tested 78 chicken eggs and found the mean amount of cholestrol was 214 milligrams with sigma=18.5 milligrams. Construct a 95% confidence interval for the true mean cholesterol content, mu, of all such eggs.

An unrepared student must take a 7question multiplechoice test that has 5 possible ansers per question. If the student guesses on the first question, what is the probability that she will answer the question incorrectly?

David pays $350 for 36 equallypriced CDs, and 12 equallypriced blank tapes. What would be the cost to David of 9 such CDs and 3 such blank tapes?

There are 10 marbles in a bag,6 of which are white and 4 of which are blue. If a marble is picked from the bag randomly, what is the probability that the marble is blue?

a jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purples marbles. suppose you pick a marble at random without looking. Find p (red or white)


best way to add 1+2+3... up to 100

How many combinations are there of 7 things taken 6 at a time?

Calorie Level Fiber Type High Calorie Low Calorie Totals High Fiber 18 4 22 Medium Fiber 23 6 29 Low Fiber 12 21 33 Totals 53 31 84 What is the probability that a cereal would either high calorie or high fiber? In other words, what is P(high calorie or high fiber)?

the probability of chris`s making a free throw is 2 over 3.( fraction 2/3) find each probability if she shoots 5 times

A tire company has announced that 6% of tires are defected. You recently bought a set of 4. What is the probability that one of your tires is defected?

Onefourth of the residenhts of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimatew that 5 percent of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If a garage is robbed, what is the probabitlity the doors were left open?

In how many different ways can a panel of 12 jurors and 2 alternates be chosen from a group of 17 prospective jurors?

a penny, a nickel, a dime and a quarter are tossed. What is the probability of obtaining at least 3 heads?

find the number of distinguishable permutations of the letters ORANGE

How to find the number of distinguishable permutations of the letters ORANGE.

a bag of marbles has 10 white marbles, 5 blue marbles, 40 red marbles, and 25 yellow marbles what are the possible outcomes for picking a marble without looking

ask user input a word like: eat Program will come out 6 output (Allow repetition) By using recursion vector
generatePermutations(string word); This is a funciton we need to use int main() { cout << "Enter a string: "; string input; getline(cin, input); vector v = generatePermutations(input); //output permutations for (unsigned int i = 0; i < v.size(); ++i) cout << v[i] << "\n"; cout << endl; system("Pause"); return 0; } 

you select at random 2 numbers from 1 to 10 what is the probability that the sum of two numbers selected is 3? give your answer is a common fraction in lowest term.

you roll a thirteen sided die (with numbers one though thirteen). what is the probability that the value of roll will be less than five

you roll a thirteen sided die (with numbers one though thirteen). what is the probability that the value of roll will be less than five?

If there is a jar of jellybeans....with 10 green, 8 red, 2 purple, 5 yellow and 7 black. You pick out six..... what is the chance of getting a purple jellybean?

sixtynine percent of household heads play video or computer games. Choose 4 heads at random. Find the probability that a. none play video or computer games b. all four do

To determine what effect the salespeople had on purchases, a department store polled 743 shoppers as to whether or not they had made a purchase and whether or not they were pleased with the service. Of those who made a purchase, 199 were happy with the service and 173 were not. Of those who made no purchase, 101 were happy with the service and 270 were not.

A jar on your desk contains 10 black, 7 red, 10 yellow, and 5 green jellybeans. You pick a jelly bean without looking. Find the probability that it is black


student life at a college did a survey asking students if they were parttime or fulltime students. Another question was if the student voted or not in the most recent student elections. The results follow: If a student is selected at random, what is the probability that a. the student voted in the most recent election? b. the student voted in the most recent election or is a parttime student? c. if the student is a parttime student, they voted in the most recent election?

There are 4 blue and 12 white marbles in a bag. How many white marbles must be added to the bag to make the probability of drawing a blue marble 1/6?

In how many ways can a team of 4 players be chosen from a squad of 6 players

Your baseball team has 15 players, of whom you field 9 at any one time. You and the opposing team have agreed that you will choose your 9 starting players at random from your respective teams. You have two outstanding players, both of whom you would like to see picked. What is the probability of both of these players being picked?

If an apple costs $0.33 and an orange costs $0.52. How many of each can they buy for exactly $5.00

xonsider the experiment of rolling a single die. find the probability of the event described. what is the probability of rolling an odd number?

Five hats are randomly distributed to the five people who own them. What is the probabilty that all the people receive the correct hat?

Aida was buying decorations for the Halloween Haunt. When she realized that she only had $1.15 in her pocket , she headed for the sale table . She found rubber tarantulas for 60 cents, rubber widows for 25 cents, paper bats for 10 cents, cardboard monsters for 80 cents and black cats fo r5 cents. What are all the possible combinations of decorations from the sale table that she could buy?

if it snows there is a 33% chance that schools will close. the weather person says there is a 25% chance of snow tomorrow. what is the probability that there will be no school tomorrow?

Baskin Robbins has 31 flavors of ice cream. If each member in a family of five is to order one scoop of ice cream in a cone, how many different orders of ice cream are possible?

compare 100!, 50!x50! and 40!x60!

in a bag of 50 marbles,20 are red and 30 are green.One marble is drawn from the bag.What is the probability that it is a red marble?

latay has 6 oranges, 4 apples, and 10 grapes. He goes onto the refrigirator and pick s out 1 fruit out of the bag. What is the probability of the friuts he took out.

The wisconsin city police department had a total of 1200 officers eligible for promotion this year, 980 were male, the remainder were female. A total of 324 were actually promoted. Of those not, 204 were women. Construct a joint probility take and using it and probility notion discribe and answer the following. Given that an officer got promoted, what is the probabiltiy that the officer was woman? What was the probability of eligible officer getting promoted this year? Did male officers have a promotion advantage over femal officers?

Three coins are flipped. What is the probability of getting one tail or at most two heads?


A jar contains 5 red jelly beans, 9 yellow jelly beans, and 16 orange jelly beans. Suppose that each jelly bean has an equal chance of being picked from the jar. If two jelly beans are selected at random from the jar, what is the probability that neither is yellow?

Julia is wrapping presents to give to her friends. She has 6 different kinds of boxes, 9 different types of wrapping paper, and 11 different colors of ribbon. How many different combinations of packaging and decorations can Julia use?

a company test blood samples to locate persons with a special enzyme in their blood. To save time and money the company combines 3 samples for each test. If the enzyme is present in 2% of people tested, what is the probability that the mixed sample will test positive for the enzyme?

How many ways are there to cjhoose 14 jurors from 22 people

14 white and 14 black marbles what is the probability of choosing 8 black

a container contains 8 red marbles, 4 blue marbles, and 3 white marbles. if 2 marbles are drawn one at a time without replacement, find the probability that they are both the same color

a football coach needs 12 players he randomly selects where there are 4 freshmen 13 sophpmeres 14 juniors and 8 seniors what is the probability the first tow names chosen are juniors

Ten individuals are candidates for positions of president, vice president of an organization. How many posibilities of seections exist?

If you draw 4 M&Ms from a bag containing 4 red, 4 yellow, 4 green, and 4 brown ones, what is the probability that you will get 1 of each color?

a truck route must include stops at 3 cities. the route is randomly selected find the probability that the cities will be arranged alphabetical order


Five students are 60,61,62,63,64 inches tall. Four students are randomly chosen. What is the probability that the average height would be at least 62 inches

How many groups are possible if any number (at least 1) up to 3 representatives can form a group? (Each department is still restricted to at most one representative.)

a bank contains 4 dimes, 7 nickels, and 3 quarters. two are selected at random probability(quarter and quarter)with replacment probability(dime then nickel)without replacment probability(quarter and quarter)without replacment

a bank contains 4 dimes, 7 nickels, and 3 quarters. two are selected at random probability(quarter and quarter)with replacement probability(dime then nickel)without replacement probability(quarter and quarter)without replacement

how many 3 topping pizzas could be made if you have 10 toppings to choose from

there are 5 different choices of carpet, 2 choices for pools, 2 choices for porches, and 3 choices for rooms. How many different combinations are their for possible condos?

Talk show host Ralph Blowhard has exactly one guest on his show each day, and Blowhard’s show airs every Monday through Friday. Blowhard always schedules politicians on Mondays and Wednesdays, Actors on Tuesdays and Athletes on Thursdays, but can have a guest of any one of these three kinds on Friday. No guest appears more than once per week on Blowhard’s show. If Blowhard has five politicians, three actors and six athletes he could invite, and if no politician is also an actor or an athlete and no actor is also an athlete, how many different schedules of guests from Monday to Friday could Blowhard create?

the principle of regundancy is used when system reliability is improved through redundant of backup components. Assume that your alarm clock has a 0.344 probability of working on any given morning. what is the probability that your alarm clock will not work on the morning of an important final exam?

A building access code is made up of five English letters followed by five numbers from the set (0,1,2,....,8,9). How many possible codes are there?

on a spinner, there are 4 red parts, 2 green parts, 1 yellow part and 1 blue part. what is the probability of spinning a red on 3 spins in a row?

there are 2 greens, 4 reds, 1 yellow, and 1 blue what is the probability of spins a red 3 spins in a row.

there are 4 reds, 2 greens, 1 blue, and 1 yellow what is the probability of spinning a green on the first turn then a blue or yellow on the second spin.

82. Super Bowl contender. The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl?

a parent teacher committee consisting of 4 people is to be formed from 20 parents and 5 teachers. find the probability that the committee will consist of all teachers.

there are 15 students in the class. How many different seating combinations can be made so that the two trouble makers aren`t sitting next to each other?

(1 pt) A jar on your desk contains 10 black, 8 red, 10 yellow, and 8 green jellybeans. You pick a jelly bean without looking. Find each of the following. 1. the odds in favor of picking a red or black jellybean = (Do not reduce your answer.) 2. the odds in favor of picking a black jellybean

Of a group of patients having injuries, 28% visit both a physical therapist and a chiropractor and 8% visit neither. If the probability of visiting physical therapist exceeds the probability of visiting a chiropractor by 16% what is the probability of a randomly selected person from this group visiting a physical therapist?

Given the probability that John will ask a question in class is 15% and the probability that Jen will ask a quesion in class is 15% what is the probability that they will both ask a question in class on the same day?

28 people at a party. How many 2 person conversations are possible?

From a box or 10 light bulbs, 4 are to be removed. How many different sets of 4 bulbs could be removed?

Eight faculty, six are tenured. For a committee of 3, what is probability that all 3 are tenured?

A Combination lock is opened with the correct sequence of three numbers between 1 and 57 inclusive. (A number can be used more than once.) What is the probability of guessing those three numbers and opening the lock with the first try?

three men and three women are going to all be in a group photo. in how many ways can they arrange themselves for their photo?

A drawer contains 8 green socks and 4 black socks. A boy takes out one sock, then another sock, without looking.

from a group of six people, two individuals are to be selected at random. how many possibly selections are there?

if there are 12 cars how many cars are there

An insurance company has six branches in six states. Find the number of ways in which six branch managers can be assigned to manage an office in each of the six states.

A recent article in the paper claims that business ethics are at an alltime low. Reporting ona recent sample, the paper claims that 34% of all employees believe their company president possesses low ethical standards. Suppose 20 of a company`s employees are randomly and independently sampled. Assuming the paper`s claim is correct, find the probability that more than eight but less than twelve of the 20 sampled believe the company`s president possesses low ethical standards.

ty owns 3 pair sof pants, 4 shirts, and 2 belts. How many combinations of outfits can ty wear?

If I needed volunteers to play a pickup volleyball next week (on a 6 person team) and 15 girls and 2 boys volunteered, find ... P(4 girls and 2 boys were on the team)

Arthur Andersen Enterprise Group National Small business United Washington conducted a national survey of small business owners to determine the challenges for growth for their small businesses. The top challenge selected by 46% of the small business owners was the economy. A close second was finding qualified workers (37%). Suppose 15% of the small business owners selected both the economy and finding qualified as challenges for growth. A small business owner is randomly selected. a)given that the owner does not select the economy as a challenge for growth what is the probability that the owner believes that finding qualified workers is a challenge for growth b) what is the probability that the owner believes neither that the economy is a challenge for growth nor that finding qualified workers is a challenge for growth

A barrel contains only apples and oranges. There are twice as many apples as oranges. The apples are either red or yellow, and 4 times as many apples are red as are yellow. If one piece of fruit is to be drawn at random from the barrel, what is the probability that the piece drawn will be a yellow apple? Give answer to the nearest tenth.__________% Remember to use just 4 spaces in the answer.

A sock drawer has 5 red and 5 blue socks

Melinda`s lights went out. She has 3 pairs of red socks in her drawer, 2 pairs of black socks and 5 pairs of white socks. What is the minimum number of pairs she must remove from the drawer to ensure that she has a pair of each color?

what are your chances of drawling a jack, queen or king from a regular deck of cards

according to recent statistics 66% of people eat breakfast. I fthe marketers sends out samples to 10 poeple selected at random> Find the probability using the binomial probability distribution formula

The Jurassic Zoo charges $28.00 for each adult admission and $12.00 for each child. The total bill for 254 people from a school trip was $3864.00. How many adults and how many children went to the zoo?

A box contains 5 red and 4 green marbles. If 3 marbles are drawn without replacement, what is the expected number of red marbles?

A jar contains 2 white, 3 orange, 5 yellow and 8 black marbles. If a marble is drawn at random, what is the probability that the chosen marble is orange?

a rental agency keeps track of the chain saws it rents each day during a period of 90 days. The number of saws a day is represented by the variable x. The results are 0 in 48 days, 1 in 34 days, 2 in 8 days. What is the probability of renting 0 saws?

In a state lottery five digits are drawn at random one at a time with replacement from 0 to 9. Suppose you win if any permutation of your selected integers is drawn. Give the probability of winning if you select (a) 2, 3, 5, 5, 8 (b) 1, 6, 9, 9, 9 (c) 5, 5, 5, 6, 6 (d) 1, 2, 2, 3, 3

in how many ways can nine mopeds be parked in a row?

You want to purchase 3 CDs from an online collection that contains 3 types of music shown at right. You want each Cd to contain a different type of music such that 2 CDs are different types of contemporary music and one CD is a different type of classical music. How many different sets of music can you choose?

Suppose 5 students are chosen from group of 970 students. What is the probability that all 5 are sophmores? (Sophmores 24%)

I want to buy some longsleeved and shortsleeved shirts. I have only $60 to spend. A shortsleeved shirt costs $10. A long sleeved shirt costs $15. How many different combinations of shirts can I buy with my $60?

A new computer graphics company employs 10 programmers. The company decides to expand into digital animation and needs to transfer 3 of the programmers into the new department. How many different combinations of 3 programmers can be chosen to transfer to the new department?

4 students are to be selected monitors from a class of 36. in how many ways can they be selected

the dept of biz admin presents the results of students who sat for maths and statistics. 56 passed maths and statistics. 40 passed maths and failed statistics. 24 failed maths and statistics. what is the probability that a student who has failed statistics will also fail maths. what is the probability that a student chosen at random has failed statistics.

What is the probability that Snoop got the first true false question correct on a test of twenty true false questions?

The Hispanic Environmental Coalition has struugled with inter ethnic conflict. The Braziliam group make

When the science group containing six children leaves the main class once a week for special instruction, the science teacher lines up the students and leads them to the science room. How many different ways can the teacher line up the six children?

find the number of permutation of the word ALLAHABAD

An apple juice bottling company maintains records concerning the number of unacceptable bottles of juice obtained from the filling and capping machines. Based on past data, the probability that a bottle came from machine 1 and was nonconforming is .05 and the probability that a bottle came from machine 2 and was nonconforming is .075. These probabilities represents the probability of one bottle out of the total sample having the specified characteristics. Half the bottles are filled on machine 1 and the other half are filled on machine 2.

A 2001 preason NCAA football poll asked respondents to answer the question. Will the Big Ten or PAC10 have a team in this year`s national championship game, the Rose bowl. of the 13,429 respondents, 2961 said the big ten, 4494 said the pac 10 would, and 6823 said neither the big ten or pac10 would have a team in the rose bowl. a) what is the probabilty that a respondent said nethier the big ten or pac ten would have a team in the rose bowl b). What is the probabilty that a respondent said either the big ten or the pac 10 would have a team in the rose bowl c) what is the probability that a respndent said both the big ten and the pac 10 would have a team in the rose bowl

A 2001 preason NCAA football poll asked respondents to answer the question. Will the Big Ten or PAC10 have a team in this year\`s national championship game, the Rose bowl. of the 13,429 respondents, 2961 said the big ten, 4494 said the pac 10 would, and 6823 said neither the big ten or pac10 would have a team in the rose bowl. a) what is the probabilty that a respondent said nethier the big ten or pac ten would have a team in the rose bowl b). What is the probabilty that a respondent said either the big ten or the pac 10 would have a team in the rose bowl c) what is the probability that a respndent said both the big ten and the pac 10 would have a team in the rose bowl

PPP Inc., an accounting firm, employs 14 accountants of whom 8 are males. If a delegation of 4 accountants is randomly selected from the firm to attend a conference, what is the probability that a) Three males will be selected b) at least 2 males will be selected

1% of 10000 pieces are defective if 100 are inspected what is the probability that one that is inspected is defective?

the hardware store sells both wood and metal screws in 4 different head widths and 3 different shank lengths. How many different screws are available?

a jar contains four marbles each a different color red,blue, green, yellow if you draw two marbles from the jar, one after the another, replaceing the first before drawing the second what is the pobability of getting two red marbles

In the game of chess, you can win, draw or lose. Gary plays two games of chess against Mijan. The probability that Gary will win any game against Mijan is 0.55. The probability that Gary will win draw game against Mijan is 0.3 Work out the probability that Gary will win exactly one of the two games against Mijan.

Three apples cost as much as 4 pears. 3 pears cost as much as 2 oranges. How many apples cost as much as 72 oranges?

if each # and & can be replaced by +, or * how many different values are there for the expression 2#2&2?

how many combinations of quaters, dimes, nickles, and penneis could a person recieve for $0.41?

Find the odds in favor of obtaining the following outcome. 4 heads when an ordinary coin is tossed four times

A personnel officer has 12 candidates to fill 5 identical positions. Assuming any candidate can fill any of the positions, what is the possible number of ways to fill the positions?

in class of 10 boys and 12 girls what is the probability of choosing a girl and then a boy for a team?

find the expected number of girls in a family of 5 children

a pole 24 feet high has a shadow 8 feet long. nearby pole is 72 feet tall how long is its shadow?

Mr. Smith bought two shirts that cost $29.95 each and a tie that cost $25.50. The sales tax rate was 7%. How much change should he have received from paying with a $100.00 bill?

The average height of all freshmen is 70.2. Is this number continuous or Discrete?

A local community college offers 5 English courses, 5 computerrelated courses, and 5 other types of courses. How many schedule choices does a student who intends to enroll in one course from each category have?

A single die is rolled 4 times.Find the probability of getting at least one 5.

How many distinct license plates can be issued consisting of one letter followed by a threedigit number?

the pentagon building in Washington DC is a regular pentagon whose side length is 971 meters. If you are standing 3000 meters away from the center of the building, what is the probability that you can see 3 sides?

The probability that a child comes in contact with a pig is .13. The probability that a pig is infected with swine flu is .03. If a child comes in contact with an infected pig, the probability that the child will catch swine flu is .82. If a child comes in contact with an uninfected pig, then the probability that the child will catch swine flu is .008. If a child does not have contact with a pig at all, thn the probability that the child will catch swine flu is .001. What is the probability that a child selected at random will catch swine flu?

a man has six sports jackets, eight shirts, and four pairs of slacks. how many choices of outfits, consisting of one sports jacket, one shirt, and one pair of pants are possible?

A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random. What is the probability that you have at least 1 lemon candy?

Suppose you have just the 13 cards of hearts and you draw two cards form the 13 cards. Compute the theoretical probability that you will get exactly one card that is a J,Q,K,A

The police department of a major city has found that the average height of their 1,250 offices is 71 inches, with s=2.3 inches.

A science class has 12 boys and 15 girls. What is the probability that a student chosen at random is a boy?

You(Exchange) have just filled an order and notified involved traders of their fills. Next you must tell the world about this trade. Suppose you flip a coin. You flip a coin every second/ Once you flip heads, you (Exchange) send your message ("Trade Done") to your friend (Tape Broadcaster). Your friend flips a coin until heads. Then the message ("Trade Done") is sent to the Tape. Plot the probability of each number of tails Excahnge and Tape Broadcaster get (together) before the message is sent to the tape.

a bag contains 11 yellow marbles,15 red marbles,17 purple marbles,2 green marbles and 17 blue marbles.whats the probability of pulling out a red marble

a box of chocolates has 12 different varities. Mrs.Lawson favourites are dark chocolate, cherry, and carmel in that order. What is the probability of choosing any of my favourites

a box of chocolates has 12 different varieties. Mrs.Lawson favourites are dark chocolate, cherry, and carmel in that order. What is the probability of choosing any of my favorites

Shawn took two pairs of shoes, five pairs of pants, and six shirts on a trip. Assuming all items are compatible, how many different outfits can he wear?

For the daily lottery game in Illinois, participants select three numbers between 0 and 9. A number cannot be selected more than once, so a winning ticket could be, say, 307. Purchasing one ticket allows you to select one set of numbers. The winning numbers are announced on TV each night. How many different outcomes (threedigit numbers) are possible if order matters? If you purchase a ticket for the game tonight, what is the likelihood you will win? Suppose you purchase three tickets for tonight`s drawing and select a different number for each ticket. What is the probability that you will not win with any of the tickets?

A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully

A barrel contains only apples and oranges. There are twice as many apples as oranges. The apples are either red or yellow, and 4 times as many apples are red as are yellow. If one piece of fruit is to be drawn at random from the barrel, what is the probability that the piece drawn will be a yellow apple?

A bag contains 6 cherry candies, 3 orange, and 2 lemon. If you reach in a take out 3 candies what is the probability of selecting 3 orange candies?


A statistics teacher has noted from past experience that a student who follows a program of studying two hours for each hour in class has a probability of 0.9 of getting a grade of C or better, while a student who does not follow a regular study program has a probability of 0.2 of getting a C or better. It is known that 70% of the students follow the study program. Find the probability that if a student who has earned a C or better grade, he/she followed the program.

a shipment of 24 ipods contains 6 defectives what is the probability that a sample of five ipods contains at least one defective?

How many permutations can you arrange the letters tz into groups of four

from a bag containing 6 white marbles and 8 blues marbles, 4 marbles are chosen at random. find the probability that 2 white and 2 blue marbles are chosen

assume a jar has 4 red marbles and 5 black marbles. Draw out 2 marbles with and without replacement. Find the requested probablities p(2 red marbles) P(2 black marbles) P(one red and one black marble) p(red on the first draw and black on the second draw)

what is the probability that 6 rolls of a fair die will show three threes

a marble is selected at random from a jar containing 3 red marbles, 4 yellow marbles and 2 green marbles. What are the odds in favor of picking a red marble?

a certain basket contains 10 apples, 7 of which are red and 3 of which are green. if 3 different apples are to be selected at random from the basket, what is the probability that 2 of the apples selected will be red and 1 will be green?

How many ways can 6 bikes be lined up in a row?

a bag containing 2 red marbles, 6 green ones, 3 white ones, and 4 purple ones. She grabs 9 of them. Find the probability that she has all the red ones.

an alligator goes to an island.. there is an orange tree..two branches...one branch is 1 meter high in which the aligator has 100% chance of getting the orange.. the other branch is 1 meter and a 1/2 high and only 30% chance of getting orange, if he tries 5x`s on each branch what is the probability in fraction of getting both oranges?

if a student randomly guesses at five multiple choice questions, find the probability that the student gets exactly 3 correct. each question has five possible choices.

if you are dealt 4 cards from a shuffled deck of 52 cards find the probability that all 4 are hearts

Ashley has a set of color tiles in a bag. There are 2 greens, 5 reds, 2 yellows and 4 blues. Without looking is she more likely to pick a green or yellow tile?

An advertiser wants to verify a 20% share value by conducting its own survey. The survey begins with 10 households having TV set in use at the time of a 60 minutes broadcast. What is the probabbility that none of the households are tuned in to 60 minutesexactly two are are tunded into 60 minutesat one househols is tuned into 60 minutes at least three households are tuned into 60 minutes.

on a particular night at a restaurant there is a special in which you can choose a dinner consisting of a cup of soup, one entree, one dissert, and a beverage,all for only $4.95. There are 4 kinds of soup, 10 entrees, 6 desserts and 3 different beverages. How many different meals can you choose.

A vrandom sample of 49 lunch customers was taken at a restaurant. The average amount of time the customers in the sample stayed in the restaurant was 45 minutes with a standard deviation of 14 minutes.

A random sample of 49 lunch customers was taken at a restaurant. The average amount of time the customers in the sample stayed in the restaurant was 45 minutes with a standard deviation of 14 minutes.

In a sock drawer there are 3 red, 4 blue 1 green and 3 black socks. The odds in favor of drawing a black sock are:

construct the probability distribution for x when a bag of jelly beans contains colors red(12) blue (5) orange (15) green (16) brown (0)

a jar contains 6blue,6yellow and 4green jellybeans. find probobility of selecting a yellow when a blue jellybean with replacement

A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking. Find P (blue or purple).

2. Sixth grade students are randomly put into classrooms every year. Three students, Michael Miller, Jose Rodriguez, and Scott Perez are best friends and want to be in the same class. a) What is the probability that they are all in the same class? b) What is the probability that they are all in Mr. Collins’ class? c) What is the probability that they are all in different classes?

4 instruments used independantly from each other in a lab.Levels of use are spectrometer 50%, balance 10%, pH meter 70% and refractometer 60%. What is chance of both spectrometer and balance not being used at instant of time? What is chance of all instruments being used at any instant of time? What is chance of all instruments being idle at any instant of time?

A jar contains 30 green jelly beans and 20 purple jelly beans.Suppose 10 jelly beans are selected at random from the jar

a bag contains 2 green,9 brown,7 yellow and 4 blue marbles. once a marble is selected it is not replaced. find the probability of P(brown,then yellow)

A jar contains 12 marbles, 5 of which are blue and 7 of which are red. If 4 marbles are chosen at random and without replacement, what is the probability of selecting 3 blue ones and 1 red one?

a bag contains 10 red marbles and 20 white marbles. You draw a marble, keep it , and draw another. What is the probability of drawing two red marbles.

4 red blocks 1 yellow blocks. What is the probability of picking a red block then a yellow block

find the probability of drawing two red marbles (without replacement) from a bag containing one green, two yellow, and three red marbles.

If 6 names are put on a ballot randomly, what is the probability that the name will not be in alphabetical order?

A bag contains 3 black marbles, 1 yellow marble, and 6 blue marbles. Three marbles are drawn successively from the bag without replacement. What is the probability that all of the marbles drawn are black?

Albert, brandy, colin, doug, eliseand fred are going to perform at a talent show. In haow many ways can their performances be ordered if brandy must perform first and albert will not perform last?


Your class if havingan election. There are 3 candiates for president, 5 for vice president, 2 for secretary, and 6 for treasurer. How many election results are possible

the probability that th cubs win their first game is 1/3. the probability that the cubs win their second game is 3/7/ what is the probability of them winning both games

the probability that the cubs win their first game is 1/3. the probability that the cubs win their second game is 3/7/ what is the probability of them winning both games

How many ways can a chairman, a secretary, and a treasurer be selected from a group of 9 people?

You have 5 black and 4 white socks. If you choose two socks at random how many ways are there to pick two black sock?

In a sock drawer there are 3 red, 4 blue 1 green and 3 black socks. What are the odds in favor of drawing a black sock?

A bag of tulips contains 10 red bulbs, 4 yellow bulbs, and 6 purple bulbs. A probability experiment consists of selecting two bulbs out of the bag without replacement. What is the probability that neither bulb selected is yellow?

Daphne stares wideeyed at the display of stickers before her in the stationery store. She has $1.50 in babysitting money to spend on stickers. The unicorn sticker costs 80 cents, the rainbow sticker costs 70 cents, the teddy bear sticker is 40 cents, the whale sticker is 25 cents, and the icecream soda sticker is 15 cents. How many different combinations of stickers could Daphne buy with her $1.50?


Two tennis balls are randomly selected from a bag that contains one Penn, one Wilson, and one Dunlop tennis ball. If the first tennis ball is replaced before teh second tennis ball is selected determine the number of outcomes.

a drawer contains 3 black socks and 2 white socks, a sock is drawn at random and then replaced, what is the probability than 2 black socks are pulled.

About 34% of Americans have type A+ blood. A blood drive gets 180 donors and they need 50 with A+blood. What is the probability that they will not get enough A+donors?

Find the odds in favor of drawing a red marble when a marble is selected at random from a bag containing 2 yellow, 5 red, and 6 green marbles.

A drawer contains 4 blue socks, 6 gray socks, and 8 black socks. You randomly choose one sock, then another from the droor. FInd the probibility that you choose 2 socks that match.

A bag contains 6 apples and 4 oranges. If you select 5 pieces of fruit without looking, how many ways can you get 5 oranges?

How many arrangements of the letters in the word "SCHOOLS" are there?

How many arrangements of the letters in the word \"SCHOOLS\" are there?

In a certain parking lot, 45% of the cars have four doors, 16% of the cars are blue, and 4% of the cars have four doors and are blue. What is the probability that a car chosen at random will have either four doors or a blue color, but not both?

Suppose that you have a bag M & M`s. There are 7 blues, 2 red, 10 browns, 8 yellows and 5 oranges. What is the probability of drawing 2 M & M s of the same color without replacement?

A hat contains 35 names, 18 of which are female. If six names are randomly drawn from the hat, what is the probability that at least one male name is drawn?

Find the probability that at least two people in a group of 14 have their birthdays in the same month?

A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking. Find P (red or white). Write your answer as a fraction in simplest form.

A jar contains 6 yellow and 8 blue gumballs. Two gumballs will be drawn at random without being replaced. If the first gumball drawn is blue, what is the probability that the second gumball will also be blue?

Marty has 10 pairs of socks in his sock drawer. Of those, 3 are brown, 2 are blue, 2 are black, and 3 are white. If Marty takes one pair out and then another, what is the probability that the first one will be brown and the second one will be blue?

A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1hour flight is .02. What is the probability that (a) both will fail?

in how many ways can 7 students be assigned seats in a row containing seven desks if 2 of the students must not be seated next to each other

red paper and green paper, also have red ribbon and gold name tag. How many combinations

drawer containing 9 red socks and 11 blue socks. In the dark, what is the minimum number of socks you need to take out to be sure of a matching pair?

4 cards are drawn in succession and without replacement from a standard deck of 52 cards. How many sets of four cards are possible?

You play tennis regularly with a friend and from past experience, you believe that hte outcome of each match is independent. For any given match, you have a probability of .7 of winning. The probability that you win at least one of the next two matches is?

38. Onefourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 percent of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If a garage is robbed, what is the probability the doors were left open?

Onefourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 percent of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If a garage is robbed, what is the probability the doors were left open?

Moses, along with several angels, approaches you. In his hand is a massive book, leather bound with gold trim, titled The Book of Everything That Can Be Known. The book is 10, 000 pages long. On page 314 is the statement "The universe is finite in spatial extent," and this statement is nowhere else in the book. On average, how many times would you have to flip open this book to be able to view this fact?

Moses, along with several angels, approaches you. In his hand is a massive book, leather bound with gold trim, titled The Book of Everything That Can Be Known. The book is 10, 000 pages long. On page 314 is the statement \"The universe is finite in spatial extent,\" and this statement is nowhere else in the book. On average, how many times would you have to flip open this book to be able to view this fact?

Moses, along with several angels, approaches you. In his hand is a massive book, leather bound with gold trim, titled The Book of Everything That Can Be Known. The book is 10, 000 pages long. On page 314 is the statement \\\"The universe is finite in spatial extent,\\\" and this statement is nowhere else in the book. On average, how many times would you have to flip open this book to be able to view this fact?

a fair coin is flipped 10 times. in how many ways can you get exactly 7 heads?

Jane Simmons is the owner of Simmons investment and Real Estate Company. Her company recently purchased four tracts of land in Shelby Estates and six tracts in Cobb Acres. The tracts are all equally desirable and sell for about the same amount. What is the probability that the next two tracts sold will be in Cobb Acres and the probability that of the next four sold, at least one will be in Shelby Estates? Are they independent or dependent?

Himwhat is your name. How do I know you are reliable. What is your occupation

A bag contains 6red and 4 blue M&M. Three are randomly selected from the bag. Find the probability that they are all red

a softball team has been formed. each team consists of 15 players of which 6 are women and 9 are men. the league rules stipulate that there shall be 6 men and 3 women playing at any time. If any player can play any position, determine the numner of possible teams that can be formed.

A quality controller at a battery manufacturing compnay tested 360 batteries from the production line. She found that 19 were defecdtive. ONE BOX contained 5000 batteries. how many might you expect not to be defective

predict the number of times you would get each color if you experment 100 times. red2 blue5 white3 1. red:___ 2.blue:____ 3:white or red:___ 4.not white:_____ 5.blue or white:____ 6.white:____

Jerome is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the probability that Jerome will get a green or yellow marble on the first draw and a pink on the second draw?(3 green, 4 yellow, 5 blue, 8 pink)

if two marbles are drawn simultanoeusly at random from a box containing 6 red marbles, 4 white marbles, and 4 blue marbles. what is the probability that neithier of the marbles is white?

Winter horse blankets are offered in five (5) sizes; 72”, 75”, 78”, 81” and 84”. There are three (3) weaves that are available in order to keep your horse dry; 200 denier, 600 denier and 1200 denier (denier is the density of the weave for water proofing). Then, we have two (2) weights to keep your horse warm in various climates; 100 polyfill and 220 polyfill (polyfill is the weight of the blanket liner). Lastly, all the blankets are available in four (4) different colors; blue, brown, green and gray.

In a bag of marbles there were 4 red, 3 blue, 5 green, 3 black, and 5 orange What are my chances of taking a blue marble out of the bag?

Melinda`s lights went out. She has 3 pairs of red socks in her drawer. 2 pairs of black socks, and 5 pairs of white socks. What is the minimum number of pairs she must remove from the drawer to ensure that she has a pair of each color?

There are 8 blue marbles and 7 red marbles in a bag julie pulls out marbles random from the bag what is the probability that she pulls a blue marble and a red marble?

A data set has a normal distrubution with mean value 130. It is also known that the percent of records below 100 is about 2.5%. What is the standard deviation of the data.

3. A large jar of M&Ms contains candies in three colors: red, yellow, and brown. It is known that 40% of the M&Ms are red; the remaining proportion is divided equally between yellow and brown M&Ms. Suppose you reach into the jar and withdraw 25 M&Ms. What is the exact probability that: a) 15 will be red? b) 15 will be yellow or brown? c) at least 12 but no more than 15 will be red?

the US senate consists of 100 senators, two from eaach state. a committee consisting of five senators is to be formed. how many are possible if no state may have more than one senator on the committee?

At a cookout community members can have a meal using any combination of 9 sides and 4 different main dishes. Rythia wants a meal with 3 different sides and grilled veggies. How many meals are possible?

Suppose you selected a marble at random from a jar containing 3 green, 2 red, and 5 blue marbles. Find each probality. not selecting a red marble

Suppose you selected a marble at random from a jar containing 3 green, 2 red, and 5 blue marbles. Find each probality.

how many five digit numbers can you make with distinct numbers

there are 63 shirts and 24 are blue what is the probability of pulling out a blue one

the parkhursts used 160 yds of fencing to enclose a rectangular corral and to divide it into two parts by a fence parallel to one of the shorter sides. find the dimensions of the corral if its area is 1000 yds square.

A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking. Find P (red) Write your answer as a fraction in simplest form

what is the probablity of choosing a 8 red, 10 orange, and 14 green marble consecutively

Five different varieties of flowers are growing in the garden.: carnations, roses, mums, marigolds, and lilies. Peter and Juanita are responsible for picking flowers and arranging them in vases to sell. They use three different types of flowers in each vase. How many differnet combinations can be made from the five varities of flowers?


there were 6 purple socks and 4 orabge socks in a drawer. Zucky picked one sock without looking and then another without looking (or replacing the first). what is the probabaility that he picked 2 purple socks?

there were 6 purple socks and 4 orange socks in a drawer. Zucky picked one sock without looking and then another without looking (or replacing the first). what is the probability that he picked 2 purple socks?

The Dynamite uniform had a jersey, shorts, and a headband. Each piece came in three colorsred, blue, and gold. Katie wanted to wear two read pieces. Kerry would have been happy if they each wore a blue jersey and blue shorts. Kathy just wanted to be able to wear at least one gold piece. How many possible combinations did Katie have to pick from? Which girl was most likely to get her choice? Why

A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking. Find P (red) Write your answer as a fraction in simplest form.

The teacher prepares a test where there are 5 objective questions, but only a minimum of 4 must be answered. Find the total ways in which they can be answered if, the first 2 questions have 3 choices and last 3 have 4 choices?

2/15th of 2400 items are defective how many are defective?

A shop stocks three flavours of tinned cat food  Tuna, Chicken and Lamb  in the ratio 2:3:5. Each flavour comes in two sizes, large and small. Twenty percent of Tuna tins are large: the cooresponding figures for Chicken and Lamb are 30% and 50%. Find the probability that a randomly selected tin of cat food is large.

Onefourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 percent of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If a garage is robbed, what is the probability the doors were left open?

How would you solve 8! without calculator

probability of pulling two white marbles in a row out of a bag with 14 red marbles and 10 white marbles


Suppose you have twenty marbles in a sock,ten red,seven white, and three blue.If you choose one marble at random from the sock,what probability that it is blue?

60% of the time, Alli is able to grab an orange that is 1 meter above the water, and 30% of the time she is able to grab an orange from the branch that is 1.5 meters above the water. When she grabs an orange from one branch, she moves on to the other branch; however, when Alli doesn`t grab an orange she tries again at the same height. If she starts with the lower branch and continues to alternate between the two branches, what is the probability associated with the most likely scenaroi in which she geats exactly 2 oranges, one from each brancg, in her first 5 attempts?

A basket of apples contains 6 red apples, 2 green apples, and 3 yellow apples. You randomly select 2 apples, one at a time. Find the probability that both are yellow if you replace the first apple, then select the second or you eat the first apple, then select the second

a bag contains 8 red marbles, 6 purple marbles and 5 brown marbles. Two marbles are selected at random without replacement. Determine each probability. a) both marbles are red b) the first marble is purpple and the second is not purple c) neither marble is brown

a bag contains 3 red, 2 blue and 5 orange marbles. Find the probability that the first marble is orange and teh second is red

a jar contains ten red marbles and 20 blue marbles if you randomly pick out a marble, what are the odds og picking a red marble

a bag contains 9 yellow, 6 green, and 5 orange marbles what is the probability of picking 3 yellow marbles if each marble is returned to the bag before they next marble is picked

I went to the petting zoo and saw 32 animals. If I saw hares, snakes, and ducks how many possible combinations did I see of each animal?

A train runs every 15 minutes. You arrive at the train station without consulting the train`s time schedule. What is the probability that you will wait more than 10 minutes for the train?

what are the odds that you choose a yellow marble from a bag containing 6 red, 10 green, and 8 yellow marbles?

A bag has 5 red marbles, 6 blue marbles and 4 black marbles. What is the probability of picking a red marble, replacing it, and then picking another red marble?

a population of workers is divided into three groups, group a is 40% of the population, group b is 40% of the population and group c is 20% of the population. for group a 0.08 is unemployed, for group b .10 is unemployed, for group c .14 is unemployed. what probability is of the population is unemployed regardless of workless?

A bag contains 8 red marbles, 6 purple marbles and 5 brown marbles. Two marbles are selected at random without replacement. Determine each probability. a) Both marbles are red. b) The first marble is purple and the second is not purple. c) Neither marble is brown.

At a track meet, 42 students entered the 100m race. In how many ways can first , second, and third places be awarded?

If there are two red marbles and three green marbles in a bag.What`s the percent probability of pulling a red marble out of the bag?

If there are two red marbles and three green marbles in a bag.What\`s the percent probability of pulling a red marble out of the bag?

4. Aisha has six different job interviews to schedule for next week. If we call the six companies A, B, C, D, E, F how many different ways can she arrange the six interviews?