Probability and Statistics: Probability Word Problems

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Probability and Statistics

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Probability and Statistics: Probability Word Problems

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Probability and Statistics: Probability WordProblems

There are four choices of apple and orange
There are four choices of apple and ...
11 people are racing
11 people are racing. What are the odds of being 1...
How many 3 topping pizzas
How many 3 topping pizzas could be made if you have 10 toppings to choose from?
A cheese pizza can be ordered
A cheese pizza can be ordered with some, all, or none of the following toppings: sausage, pepperoni, ham, peppers, mushrooms, olives, anchovies, pineapple, and ...
There are 12 candidates in a city election
There are 12 candidates in a city election. The winner will be the mayor, and the runner-up will be the vice-...
A mall has 12 clothing stores
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 ...
A bag contains 3 red, 4 green and 3 yellow marbles
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)
Find the IQ score separating the top
Find the IQ score separating the top 85% from the ...
A jar of marbles contains 6 yellow and 8 red marbles
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 ...
Test for high school students
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 ...
30% of a firm`s orders come from new customers
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...
Find the number of distinguishable permutations
Find the number of distinguishable permutations in the letters SCHOOL?
6 students are doing a gift exchange
6 students are doing a gift exchange. How many ways can they exchange gifts? ( Can't get your own gift)
If a school offers 9 different subjects
If a school offers 9 different ...
Find the number of different permutations
Find the number of different permutations of the letters in the word LILLY
A bag contains 3 red, 4 green, and 3 yellow marbles
A bag contains 3 red, 4 green, and 3 yellow marbles. These marbles are randomly drawn from the ...
In France, years of life expectancy
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 ...
John wants to paint four rooms
John wants to paint four rooms in his house, each a different color and he may choose from seven different colors of ...
In how many different ways
In how many different ways can 11 different books be distributed to ...
There are three sections of science class available
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%...
A bag contains 6 blue discs
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 ...
Selena has 4 exams
Selena has 4 exams ( A, B, C,D) to study for this ...
A barrel contains only apples and oranges
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 ...
A panel of judges is to consist of four women and three men
A panel of judges is to consist of four women and three men. A list of potential judges includes seven women and six ...
On Saturday evening, 34% of the people in Chicago
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 ...
Three apples cost as much as four pears
Three apples cost as much as four pears. 3 pears cost as much as 2 ...
A bag contains 6 black, 4 blue, 3 green
A bag contains 6 black, 4 blue, 3 green, 5 yellow, and 4 red ...
A bag of jelly beans contains
A bag of jelly beans contains 12 cherry, 15 lemon, 17 lime, 13 strawberry, and 18 orange jelly ...
A bag contains 6 green marbles
A bag contains 6 green marbles, 6 blue marbles, 5 yellow marbles , 13 red marbles, and 10 purple ...
How many combinations are there
How many combinations are there in w,...
How many ways can you arrange
How many ways can you arrange 5 books on a book shelf?
Lisa is planning the seating
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 ...
There are 4 digits on a lock
There are 4 digits on a ...
There are 3 entrances and 3 exits
There are 3 entrances and 3 exits to a large parking ...
A family wants to have 6 children
A family wants to have 6 ...
You want to buy 5 cds
You want to buy 5 ...
Have 8 navy blue socks
Have 8 navy blue socks, 5 black ...
A combination lock will open
A combination lock will open when the right choice of three numbers (from 1 to 40, inclusive) is ...
43% are wearing seatbelt
43% are wearing seatbelt and 57% are not wearing seatbelt. Randomly pick 2 people. What is probability that both will be wearing seatbelt
A drawer contains 8 black socks
A drawer contains 8 black socks, 18 green socks, 12 blue socks and 11 brown socks. If the drawer is in a darkened ...
A container of jelly beans contains
A container of jelly beans contains 50 buttered popcorn, 65 strawberry, 80 cinnamon, and 45 ...
In how many ways can 7 boys
In how many ways can 7 boys be seated at a round table so that two particulars boys are next to each other?
At the picnic, there is a plate
At the picnic, there is a plate of 3 dill pickles, 2 bread and butter pickles, and 1 sweet ...
Factorial
7 women and 14 men in a ...
A bag contains 5 red marbles
A bag contains 5 red marbles, 3 green marbles and 2 blue ...
A spinner is divided into five equal sections
A spinner is divided into five equal sections numbered 1 through 5...
Steve and Joe were discussing
Steve and Joe were discussing how many different five-card combinations of standard playing cards have exactly two ...
A bowl with 2 yellow marbles
A bowl with 2 yellow marbles, 1 blue and 2 red. If you pick one marble from the bowl ...
In how many ways can a committee of 5 people be selected
In how many ways can a committee of 5 people be selected from 10 men and 6 ...
Micheal needs new clothes for school
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 ...
If there are 6 restaurants to choose from
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?
How many distinguishable arrangements
How many distinguishable arrangements of the word PROBABILITY are there?
Last fall, a gardener planted 74 tulip bulbs
Last fall, a gardener planted 74 tulip bulbs. She found that only 62 of the bulbs bloomed in the ...
The letters of the word
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
How many different ways can 23 pearls
How many different ways can 23 pearls be strung and worn (noting you can flip necklace over to wear in a different way)?
There are 10 soccer players and 8 volleyball players
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 ...
There are 6 books but you can only choose
There are 6 books but you can only choose 4 of ...
Drawing 3 cards that are all aces
Drawing 3 cards that are all aces from a deck of cards?
Leila and Markus have 3 red marbles
Leila and Markus have 3 red marbles and 2 green and 1 ...
probability
Two cards are simultaneously drawn from an ordinary ...
There are 20 runners in a race
There are 20 runners in a ...
There are 3 bags of apples
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 ...
Seven people are interviewed for a possible promotion
Seven people are interviewed for a possible ...
probability
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 ...
You have twenty-two socks
You have twenty-two socks. Fortunately, you only have two colors white and ...
A student notices that if he is late
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.)
If there are 25 names in a hat
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
If the chances of snow or sleet last Saturday
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?
Kate has a red pair of shoes
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 ...
Suppose we have 12 firms
Suppose we have 12 firms. 5 type A firms and 7 type B ...
What is the probability of obtaining a sum
What is the probability of obtaining a sum of at least 6 when rolling a pair of dice?
An airplane has two independent alternators
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...
Of the 148 students honored at an academic banquet
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 ...
A bag contains 6 orange, 7 green, and 8 yellow marbles
A bag contains 6 orange, 7 green, and 8 yellow ...
Six churches form a softball league
Six churches form a softball league. If each team must play every other team twice during the ...
A bag contains five red candies
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.
...
There are four different floor plans
There are four different floor plans, five exterior colors, and an option of either a two-car or three car ...
In a certain high school 65% of students
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 ...
Jim sells soup at his stand
Jim sells soup at his stand. He sells lentil, split pea, and navy bean soup. They also come in four different ...
In a fair game two guys bet
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 ...
What is the probability of drawing two cards
What is the probability of drawing two cards that are not in the same suit when drawn simultaneously?
How many different 4-member committees
How many different 4-member committees can be chosen from a panel of 10 people?
There are 3 sky blue marbles
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 ...
During a root enzyme experiment
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 ...
A drawer contains 4 blue socks
A drawer contains 4 blue socks, 6 gray socks, and 8 black socks. You randoml choose one sock, then another from the ...
A jar on your desk contains twelve black
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
A bag contains 8 green marbles
A bag contains 8 green marbles and 12 blue marbles.. You draw a marble, return it to the bag and draw ...
7% of American population
7% of American population have O-negative blood. If 10 people give ...
A bag of marbles contains
A bag of marbles contains 4 black, 4 gray and 5 white ...
A hat contains 26 names
A hat contains 26 names, 16 of which are male. If six names are randomly drawn from the ...
From a barrel of colored marbles
From a barrel of colored marbles, you randomly select 1 blue, 6 yellow, 7 red, 4 green, and 6 purple ...
A deck of cards had 6 purple 6 navy and 4 brown
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 ...
76% of second grade girls
76% of second grade girls are taller than 40 inches, the average height of second grade girls is 42 ...
A drawer contains 8 red socks
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 ...
One-fourth of the residents of the Burning Ridge Estates
One-fourth 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 ...
The probability that San Francisco plays
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...
A bag contains four times as many
A bag contains four times as many as blue marbles than brown. If there is no other color and a boy picks up two ...
A drawer has 6 gray socks
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 ...
A pizza restaurant offers
A pizza restaurant offers two different kinds of crust and six different ...
A jar contains six red jelly beans
A jar contains six red jelly beans, three purple jelly beans and six yellow jelly ...
An experiment consists of four outcomes
An experiment consists of four outcomes with P(E1)=0.2, P(E2)=0.3, and P(E3)=0.4...
You are rolling two standard 6 sided dice
You are rolling two standard 6 sided dice. One die is red and the other is ...
A deck of cards has 5 purple
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)
Adam has a bag of marbles
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 ...
A recruiting firm finds that 30% of the applicants
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 ...
In a Bag of M&M`s there are 30 pieces
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 ...
There are 6 purple socks and 4 orange socks
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)...
A football team won 8 games and lost 3 games
A football team won 8 games and lost 3 games, this ...
A test has 4 choices a b c and d
A test has 4 choices a b c and d. If a student answers all 3 ...
A jar contains 7 red marbles
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?.
An office consists of 80 employees
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 ...
You have 8 DVDs
You have 8 DVDs: 2 science fiction, 2 western, 3 comedy, 1 drama. If you choose the DVDs at ...
If Sasha pulls out 2 socks at once
If Sasha pulls out 2 socks at ...
From 8 girls and 6 boys, a group of 4 students
From 8 girls and 6 boys, a group of 4 students is to be chosen at rando to participate in an opinion ...
There are 9 pieces and 6 are cracked
There are 9 pieces and 6 are cracked. What is the probability of getting no ...
A jar contains three colored marbles
A jar contains three colored marbles: 10 red, 15 green, and 25 blue. If you were to choose without ...
A test has several multiple choice questions
A test has several multiple choice questions, each with 5 choices. If you guess on one ...
Hank has 34 green lures
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 ...
Cedric has 5 keys to put on a key ring
Cedric has 5 keys to put on a key ...
There are three red marbles and two white marbles in a bag
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.)
The probability of getting a red lollipop
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...
Martha has six brown socks
Martha has six brown socks and eight black socks. If she randomly selects two socks from the drawer ...
Find the probability of each outcome
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
There were 6 purple and 4 orange socks
There were 6 purple and 4 orange socks in Zeke's ...
A red, a blue, a green, a yellow, and an orange marble
A red, a blue, a green, a yellow, and an orange marble are in a ...
Suppose you randomly draw two marbles
Suppose you randomly draw two marbles, without replacement from a bag, containing six green, four red and three black ...
A traffic light is red for 38 seconds
A traffic light is red for 38 seconds, yellow for 10 seconds, and green for one minute and twelve seconds in a constantly repeating ...
You have 16 jelly beans
You have 16 jelly beans: 4 are red, 8 are green and 4 are ...
Only 91% of the airplane parts Amelia is examining
Only 91% of the airplane parts Amelia is examining pass ...
A jar contains 5 blue marbles
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)...
If you have 5 oranges and 7 apples
If you have 5 oranges and 7 ...
Probability
A bag contains 12 yellow and 6 green ...
Jukebox contains only 3 records
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...
In a bag there are three coloured balls
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 ...
Sam had 10 marbles in a bag
Sam had 10 marbles in a bag; 3 brown and 7 ...
If there are 20 red marbles and 15 blue marbles
If there are 20 red marbles and 15 blue marbles what would be the probability of choosing one blue marble from a bag?
How many 7 member water polo squads
How many 7 member water polo squads can be made from 12 players if the same player is goalie for each squad?
A shoebox has 4 green cubes
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)
Two cards are chosen at random
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, 2-10, 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 (...
Probability that a teacher will give
Probability that a teacher will give an announced test during any class meeting is 1/5...
If you roll the dice 36 times
If you roll the dice 36 ...
Vick wants to create a secret code
Vick wants to create a secret code that consists of 4 ...
If a fair coin is tossed 5 times
If a fair coin is tossed 5 ...
The probability that San Fransisco plays
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 ...
Teacher knows that 80 percent of the students
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 ...
If two people are selected at random
If two people are selected at ...
Julie, Corinne, Darci, and Michelle are swimming
Julie, Corinne, Darci, and Michelle are swimming in a relay race. How many ways can you order the last two ...
If the city of Esperanza is 9000 miles from Davao
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)
Suppose a contest offers
Suppose a contest offers $1,000 to the person who can guess the winning four digit ...
The school day consists of four block classes
The school day consists of four block classes, each 90 minutes long. Lunch is 30 minutes. Passing time between classes and lunch is 5 ...
Find the odds in favor of drawing
Find the odds in favor of drawing a red marble when a marble is selected at random from a bag containing  2 yellow, 5 ...
All 7 digit numbers in a town
All 7 digit numbers in a town start with 555. The last four digits cannot be a 0 or a 1...
Suppose that 49% of the women who gave birth
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)...
There are 5 dancers standing
There are 5 dancers standing in a horizontal line on a ...
Combinations
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 ...
Evaluating Factorials
sixteen teams are competing in a soccer match. gold, silver, and bronze medals will be awarded to the top three ...
Combinations
there are 5 different floor plans, four exterior colors, and an option of a two-car or three car ...
Combinations
a group of eight women and six men must select a four-person committee. How many committees are possible if it must consist of the following?
a) any mixture of men and women
Combinations
ty owns 3 pair sof pants, 4 shirts, and 2 ...
Combinations
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 ...
Factorial
Six students are seated in a row in a movie ...
Evaluating Factorials
How many ways can 6 bikes be lined up in a row?
Combinations
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,
Combinations
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
Combinations
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
Combinations
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
Permutations
4 students are to be selected monitors from a class of 36. in how many ways can they be selected
Factorial
In how many ways can a team of 4 players be chosen from a squad of 6 players
Combinations
There are 2 Alphas for every 3 betas,  4 betas for every 5 deltas, and 1 delta for every 6 ...
Combinations
Daphne stares wide-eyed 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 ice-cream soda sticker is 15 cents. How many different combinations of stickers could Daphne buy with her $1...
Combinations
the US senate consists of 100 senators, two from eaach state. a committee consisting of five senators is to be ...
Combinations
a man has six sports jackets, eight shirts, and four pairs of slacks. how many choices of outfits, consisting of one sports jacket, one ...
Combinations
I went to the petting zoo and saw 32 animals.  If I saw hares, ...
Factorial
How many different arrangements can be made with the letters from the word MOVE?
Combinations
4 cards are drawn in succession and without replacement from a standard deck of 52 ...
Factorial
a state uses only the even digits 0 2 4 6 8 to create license ...
Permutations
At a track meet, 42 students entered the 100-m race.  In how many ways can first , ...
Permutations
How to find the number of distinguishable permutations of the letters ORANGE.
Factorial
A shipment of 50 television sets contains 4 defective ...
Combinations
How many combinations are there of 7 things taken 6 at a time?
Combinations
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 ...
Factorial
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 ...
Factorial
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.
Combinations
how many 3 topping pizzas could be made if you have 10 toppings to choose from
Combinations
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 ...
Combinations
a fair coin is flipped 10 ...
Factorial
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 ...
Factorial
If ten athletes are running the 100 meter das, how many ways can the gold, ...
Combinations
in how many ways can nine mopeds be parked in a row?
Factorial
how many ways can you put 5 stamps so they are always attached
Combinations
An insurance company has six branches in six ...
Factorial
From a box or 10 light bulbs, 4 are to be ...
Factorial
4. Aisha has six different job interviews to schedule for next week.  If we call the six companies A, B, C, D, ...
Factorial
how many five digit numbers can you make with distinct numbers
Combinations
there are 5 different choices of carpet, 2 choices for pools, 2 choices for porches, and 3 choices for ...
Permutations
Find the probability that at least two people in a group of 14 have their birthdays in the same month?
Combinations
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 ...
Factorial
28 people at a ...
Combinations
Three apples cost as much as 4 pears. 3 pears cost as much as 2 ...
Factorial
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
Combinations
red paper and green paper, also have red ribbon and gold name tag. How many combinations
Factorial
three men and three women are going to all be in a group ...
Factorial
a parent teacher committee consisting of 4 people is to be formed from 20 parents and 5 ...
Factorial
In how many different ways can a panel of 12 jurors and 2 alternates be chosen from a group of 17 prospective jurors?
Factorial
there are 15 students in the ...
Factorial
A building access code is made up of five English letters followed by five numbers from the set (0,1,2,....,8,9)...
Factorial
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 ...
Factorial
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 ...
Permutations
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
Combinations
The Dynamite uniform had a jersey, shorts, and a headband.  Each piece came in three colors-red, 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
Combinations
If an apple costs $0.33 and an orange costs $0.52.  How many of each can they buy for exactly $5.00
Factorial
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 ...
Factorial
How many ways are there to cjhoose 14 jurors from 22 people
Combinations
I want to buy some long-sleeved and short-sleeved shirts. I have only $60 to spend. A short-sleeved shirt costs $10. A long sleeved shirt costs $15...
Factorial
How many ways can a chairman, a ...
Factorial
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 ...
Permutations
find the number of permutation of the word ALLAHABAD
Probability
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 (three-digit 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 ...
Permutations
How many permutations can you arrange the letters t-z into groups of four
Factorial
if each # and & can be replaced by +...
Factorial
Shawn took two pairs of shoes, five pairs of pants, and six shirts on a trip. Assuming all items are ...
Permutations
How many distinct license plates can be issued consisting of one letter followed by a three-digit number?
Probability
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 ...
Probability
How many even 5-digit numbers can be formed from the numbers 1,2,4,7,8...
Probability
if hank flips two coins and rolls two dice, how many permutations are possible
Probability
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 ...
Probability
In a certain high risk group, the chances of a person getting infected with a virus are 60%.  If four people are ...
Probability
A bag contains 9 apples and 7 oranges. If you select 8 pieces of fruit without ...
Probability
there are 4 reds, 2 greens, 1 ...
Probability
a bag of jelly beans 18 red, 12 green, 10 purple, 6yellow and 4 orange find the probabily of selecting a green jellybeans
Probability
Two dice are thrown at the same time, then their numbers showing on top are added ...
Probability
if the probability of picking a brown sock from your drawer is 0.4, and if you randomly picked 15 socks out of the ...
Probability
A bag contains 6 apples and 4 oranges. If you select 5 pieces of fruit without ...
Probability
there are 2 greens, 4 reds, 1 ...
Probability
Find the probability of drawing a brown sock from a drawer of 4 brown socks, 10 black socks, and 6 gray socks, replacing ...
Probability
2/15th of 2400 items are defective how many are defective?
Probability
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...
Probability
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
Probability
a bag has 6 white socks and 4 blue socks.i picked 2 socks.find the probability that both are white
Probability
How many arrangements of the letters in the word "SCHOOLS" are there?
Probability
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...
Probability
if a student randomly guesses at five multiple- choice questions, find the probability that the student gets exactly 3 ...
Probability
One-fourth 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 ...
Probability
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
Probability
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
Probability
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
Probability
At a party attended by couples only, everyone other than the host had shaken hands a different number of ...
Probability
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
Probability
If a baseball player's batting average is 0.340 or 34%...
Probability
find the probability of drawing two red marbles (without replacement) from a bag containing one green, two ...
Probability
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 ...
Probability
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 ...
Probability
if you are dealt 4 cards from a shuffled deck of 52 cards find the probability that all 4 are hearts
Probability
You have 5 black and 4 white ...
Probability
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%...
Probability
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
Probability
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
Probability
How many arrangements of the letters in the word \"...
Probability
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 ...
Probability
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 0-15 16-30 31-45 46-60 61-75

Number of Students 6 2 4 4 4



If a student is selected at ...
Probability
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
Probability
the hardware store sells both wood  and metal screws in 4 different head widths and 3 different shank ...
Probability
A single die is rolled 4 ...
Probability
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 ...
Probability
Find the odds in favor of drawing a red marble when a marble is selected at random from a bag containing 2 yellow, 5 ...
Probability
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)
Probability
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.)
Probability
find the expected number of girls in a family of 5 children
Probability
There are 4 blue and 12 white marbles in a ...
Probability
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
Probability
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
Probability
A drawer contains 4 blue socks, 6 gray socks, and 8 black socks. You randomly choose one sock, then another from the ...
Probability
four married couples have bought eight seats in a row for a concert.In how many different ways can they be ...
Probability
A bag contains 6red and 4 blue M&M. Three are randomly selected from the bag.
Find the probability that they are all red
Probability
In how many distinguishable ways can the letters in the word STATISTICS be written?
Probability
xonsider the experiment of rolling a single die. find the probability of the event ...
Probability
if there are 12 cars how many cars are there
Probability
from a group of six people, two individuals are to be selected at ...
Probability
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)
Probability
a bag containing 2 red marbles, 6 green ones, 3 white ones, and 4 purple ones. She grabs 9 of ...
Probability
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)
Probability
A contractor wishes to build 9 houses each different in ...
Probability
sixty-nine 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
Probability
Find the odds in favor of obtaining the following outcome. 4 heads when an ordinary coin is tossed four times
Probability
find the number of distinguishable permutations of the letters ORANGE
Probability
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...
Probability
A local community college offers 5 English courses, 5 computer-related courses, and 5 other types of ...
Probability
Ten individuals are candidates for positions of president, vice president of an ...
Probability
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 ...

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This Probability and Statistics page lists word problems on probability topic.