A company has 5 stores in New York and 6 stores in Chicago. Three of the stores are randomly selected as a site for a special display. What is the probability that all 3 stores selected will be in New York? What is the probability that all 3 stores selected will be in Chicago? What is the probability that 2 stores will be in New York and 1 store will be in Chicago?

Q: If two marbles are drawn with replacement from a bag containing 2 blue marble, 3 white marbles, 4…

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Q: A bag of marbles contains 9 blue, 5 green, 8 red, 6 yellow, and 2 black marbles. If you reach in the…

A: Given that a bag of marbles contains 9 blue, 5 green, 8 red, 6 yellow, and 2 black marbles. Total…

Q: A pet store has 8 ​puppies, including 2 ​poodles, 4 ​terriers, and 2 retrievers. If Rebecka and​…

A: There are 8 puppies, including 2 poodles, 4 terriers, and 2 retrievers. Since Rebecka selects a…

Q: A board of directors consists of eighteen men and eight women. A four-member search committee is…

A: HERE Given , a board of directors consist of eighteen men and eight women , total  =  26  committee…

Q: A box contains 4 black marbles, 3 red marbles, and 2 white marbles. What is the probability that a…

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Q: What is the probability of getting a head when tossing a coin? A school has 820 male students and…

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Q: A box of 15 chocolates has 6 that are caramel, 5 that contain nuts, and 4 that are nougat. If you…

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Q: From a group of 9 boys and 12 girls, a committee of 4 students is chosen at random. a. What is the…

A: Given: 9 boys 12 girls Total = 12+9 =21 students

Q: A jar contains 4 red marbles, 8 green marbles and 12 white marbles. If a marble is drawn from the…

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Q: There are three classes, each consisting of 20 students. From this group of 60 students, a group of…

A: From the provided information, There are 3 classes and each class consists of 20 students. From this…

Q: A bag contains 5 red marbles, 6 blue marbles and 3 green marbles. If three marbles are drawn out of…

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Q: Eight people in the class are left-handed . If there are 32 students in the class, what is the…

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Q: Teledex Corporation is going to hire 3 programmers from a pool of 5 female and 5 male applicants.…

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Q: A box of chocolates contains 10 milk chocolates, & dark chocolates, and 6 white chocolates. Hanissa…

A: GivenNo.of milk chocolates = 10No.of dark chocolates = 8No.of white chocolates = 6Total no. of…

Q: A pet store has 11 ​puppies, including 3 ​poodles, 3 ​terriers, and 5 retrievers. If Rebecka…

A: Given Information :  A pet store has 11 ​puppies, including 3 poodles 3 terriers, and 5 retrievers.…

Q: A man has 4 pairs of shoes, 2 suits, and 5 shirts. If he picks a pair of shoes, a suit, and a shirt…

A: It can be assumed that the man has only 1 pair of favorite shoes out of the 4 pairs he has, 1…

Q: There are 20 students who will join either volleyball team, or basketball team or both. If 12…

A: The number of student join both is   N(A or B) =N(A)+N(B)-N(A and B) N(A and B)= N(A)+N(B)- N(A or…

Q: Don has 4 black pens, 3 blue pens, and 2 red pens in his school bag. Don randomly picks two pens out…

A: The following information has been provided: The number of black pens = 4 The number of blue pens  =…

Q: In a class of 30 students, 12 have a cat and 19 have a dog. There are 6 students who do not have a…

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Q: A bag of marbles has 10 red marbles ,24 blue marbles ,5 purple Mables and 17 green marbles if one…

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Q: In a game with four players, each are dealt 13 cards from a standard 52 card deck. What is the…

A: Introduction: Each of the 4 players are dealt with 13 cards, evidently randomly, from the standard…

Q: A car rental agency at a local airport has available 5 Fords, 7 Chevrolets, 4 Dodges, 3 Hondas, and…

A: Given:  No of fords=5 No of chevrolets=7 No of Dodges= 4 No of Honda =3  PNonof Toy Toyota=4  Total…

Q: If the two winners are drawn with replacement, what is the probability that a friend of the…

A: A raffle is held in the IT department of a company in which 10 of the 40 members who bought raffle…

Q: A pet store has two tanks of tropical fish. The first tank contains 9 blue fish and 2 yellow fish…

A: Given information: There are 2 tanks. First tank contains 9 blue fish and 2 yellow fish. Total fish…

Q: The staff at a small company includes: 2 secretaries, 13 technicians, 6 engineers, 4 executives and…

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Q: A bag contains 20 marbles, of which 3 are blue and 7 are green. One marble is drawn from the bag.…

A: Given Total number of marble=20 Number of blue marble=3

Q: The general manager, marketing director, and 3 other employees of Company $A$ are hosting a visit by…

A: The probability of an event is given by, PE=Number of favorable outcomesTotal number of outcomes. It…

Q: The math department at a high school has 9 teachers. 6 females and 3 males. Three of the teachers…

A: We  have given that Total number of teacher = 9 Female teacher = 6 Male teacher = 3

Q: A class has 14 girls and 12 boys and a committee of 5 is chosen. What is the probability that this…

A: We have given that Number of girls = 14 Number of boys = 12 Total students = 12+14 = 26 We have to…

Q: A history class is comprised of 9 female and 5 male students.if the instructor of the class randomly…

A: There are 14 students in the class (= 9 female + 5 male).

Q: A bag contains 16 marbles, 4 of which are blue and 12 of which are green. Two marbles are randomly…

A: The concept of probability was introduced in the 17th century. This is one of the interesting…

Q: If two marbles are drawn with replacement from a bag containing 4 blue marble, 3 white marbles, 7…

A: We have to find probability..

Q: A homeowner selects six plans selected at random from a set of proposals drawn by his hired…

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Q: A bag contains 6 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: A box has 20 green hats and 15 blue hats. If you pick 3 hats without replacement, what is the…

A: Given,no.of green hats=20no.of blue hats=15total no.of hats=35

Q: closet contains 8 pair of shoes. If 4 shoes are randomly selected, what is the probability that…

A: Here use combination for ans the question

Q: if two students are randomly chosen from a group of 3 boys and 3 girls, what is the probability that…

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Q: In a box, there are 9 black ball pens and 3 red ball pens. If two ball pens will be taken randomly,…

A: Total number of ball pens in a box=12 Out of which 9 are black ball pens and 3 are red ball pens.…

Q: There are 22 students, from which 6 people will be selected to be on a panel. If Allen and Joe are 2…

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Q: On the weekend 14 friends get together to play a football game with seven players per side. If in…

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Q: A color tile will be taken at random contains 2 blue tiles, 5 red tiles, and is the probability that…

A: Given data, Number of blue tiles=2 Number of red tiles=5 Number of green tiles=4 Total number of…

Q: In a bowl with 14 pieces of fruit, 6 are apples and 5 are oranges. If you randomly choose a piece of…

A: Definition of Probability: Probability of an event is number of favorable outcomes by total number…

Q: girl draws 6 ribbons at random from a bag containing 5 violet ribbons and 4 yellow ribbons. What is…

A: Given :A girl draws 6 ribbons at random from a bag containing 5 violet ribbons and 4 yellow ribbons.…

Q: A group of 12 students made up of 7 females and 5 males form a committee of 5. What is the…

A: Given: (1) number of females is 7 (2) number of males is 5 (3) a committee of 5 members need to be…

Q: If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

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Q: A fish pond at a carnival contains 72 angelfish​, 105 goldfish​, 39 tetras​, and 144 cory cats. If…

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Q: A Psychology class consists of 14 males and 36 females. If a random sample of n =3 students are…

A: Given that there are 14 males and 36 females. Given that n=3.

Q: A bag contains 7 red marbles, 2 blue marbles, and 1 green marble. If a marble is selected at random,…

A: There are total (7+2+1)=10 marbles  Given that there are 2 blue marbles So the number of marbles…

Q: A group of 5 football fans contains 3 Chiefs fans and 2 Niners fans. Three fans are chosen at random…

A: From the given information, there are 5 football fans. In 5 football fans, 3 were chiefs fans and 2…

Q: A student has a total of 10 books and 3 of her books are science fiction. If she arranges them on a…

A: Given, A student has a total of 10 books and 3 of her books are science fiction she arranges them on…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.