Suppose a classroom teacher must form a committee of 4 people. If the classroom has 25 students, find the probability that the committee has both Billy and Michael on it. 2!x2! 25! 50 4! 25! 2 25

Q: A box contains 5 red marbles, 4 green, and 8 blue. Find the probability of pulling two red marbles…

A: There are total 17 marbles in a box as 5 red + 4 green + 8 blue. Now consider the following values:…

Q: A box contains 8 red, 5 white, 6 blue and 11 black marbles. If one marble is taken from the box,…

A: we have 8 red , 5 white , 6 blue and 11 black marbles if one marble is taken from the box, find the…

Q: If two cards are drawn without replacement from an ordinary​ deck, find the probability of a king…

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Q: If you are dealt 7 cards from a shuffled deck of 52 cards, find the probability of getting four…

A: From the provided information,We are dealt 7 cards from a shuffled deck of 52 cards.Total cards =…

Q: Tony and Sam play chess (either of them wins, draw is not allowed).  If Tony plays White,…

A: It is given that the probability that  Tony wins using white is 0.72. So, the probability that Sam…

Q: Urn A contains 3 white, 5 red and 2 black marbles. Another urn B contains 3 white, 2 red and 2 black…

A: Ans#- Given,  Urn A contains 3 white, 5 red and 2 black marbles.            Another urn B contains 3…

Q: A group of 40 women and 40 men are in a room. A committee of 15 is chosen at random. Find the…

A: Obtain the probability that the committee consists only of women. The probability that the committee…

Q: In a bag there are 6 white marbles and 16 black marbles. Four marbles are drawn without replacement.…

A: Hi! Thank you for the question! Since the question contains four subparts and we are allowed to…

Q: A bag contains 10 red pens and 5 blue pens. If a student picks 2 pens from the bag, find the…

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Q: A basket contains 8 red apples and 6 yellow apples. A sample of 3 apples isdrawn without…

A: From the provided information,A basket contains 8 red apples and 6 yellow apples. Total apples = 14A…

Q: A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double…

A: There there are n Blue balls. So total balls = n+5 Probability of selecting red balls, P(R)= 5/(n+5)…

Q: There are 2 blue balls, 1 white ball and 3 red balls in an urn. 2 balls are drawn at random. Find…

A: It is given that Number of blue balls = 2 Number of white balls = 1 Number of red balls = 3 Total =…

Q: there are 8 boys and 6 girls on a soccer team. the coach will select a captain and then select a co…

A: Given: There are 8 boys and 6 girls on a soccer team. Total members in the team: 8+6=14 Total ways…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: n a fish tank, there are 27 goldfish, 4 angelfish, and 16 guppies. If a fish is selected at random,…

A: A is an event of n equally likely outcomes of an experiment. If n(A) is the number of events…

Q: You have a bag with 10 tiles in it. The tiles are identical except that 3 are red and 7 are black.…

A: The probability of an event is always fall between 0 and 1 and it is defined as ratio of favourable…

Q: A basket contains 4 pink clips, 6 purple clips, and 5 white clips. Daisy picks one clip and records…

A: given data,a basket contain 4 pink clips                              6 purple clips…

Q: Given a group of 9 men and 11 women, find the probability of selecting a committee of 4 that has…

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Q: A football team consists of 19 each freshmen and sophomores, 15 juniors, and 18 seniors. Four…

A: 19 each freshmen and sophomores, 15 juniors, and 18 seniorsTotal=71

Q: There are 20 sides to the messages.  What is the probability of getting the same message 2 times in…

A: The probability of getting a specific message on the first try is 1/20,since there are 20 total…

Q: A doctor has 3 doses of flu protection vaccine left. He has 5 women and 9 men who want the…

A: GivenNo.of women = 5No.of men = 9Total no.of people = 14No.of doses doctor have=3

Q: A five-card poker hand is dealt from a standard deck of cards.  Find the probability of getting 2,…

A: There are 52 cards in a standard deck of cards. We can pick 5 cards from 52 cards in 52C5 ways.…

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: You draw 2 cards from a standard deck of 52 cards. Find each probability. If the first one is…

A: Given that 2 cards are selected from standard deck of 52 cards. Here, 2 cards are selected with…

Q: A couple has four children . Find the probability that there are exactly two boys and two girls

A: Probability of a boy (p) = 1/2 = 0.5  Probability of a girl (p) = 1/2 = 0.5  Number of children (n)…

Q: Team A has a probability of 2 3 of winning whenever it plays. If A plays 6 games, find the…

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Q: A football team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors. Four…

A: Given,Number of freshmen player, n(freshmen)= 13Number of sophomores player, n(sophomores) =…

Q: drawn, what is the probability of getting

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Q: Suppose an animal shelter has 10 cats and 8 rabbits. One day, 3 of these animāls are chosen (in an…

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Q: A teacher chooses 4 different students to answer questions. There are 21 sophomores and 8 freshman.…

A: Given, No. of shopemores=21 No. of freshman=8 Total number of students=21+8=29 No. of students…

Q: A bag containing marbles has 4 red, 5 green and 6 yellow marbles. What is the probability of…

A: Given Data:   n(R)=4 n(G)=5 n(Y)=6   Total=6+5+4=15

Q: You randomly select one card from a​ 52-card deck. Find the probability of selecting the king of…

A: It is known that Number of cards in a deck = 52 Number of king of diamonds = 1 Number of two of…

Q: If you are dealt 5 cards from a shuffled deck of 52 cards. Find the probability of getting three…

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Q: A bag contains 6 white and 4 black balls . two balls are drawn at random . Find the probability that…

A: Given: White balls = 6 Black balls = 4

Q: In a bag there are 6 white marbles and 16 black marbles. Four marbles are drawn without replacement.…

A:

Q: A box contains 4 white, 2 red and 4 black balls. Another contains 1 white, 4 red and 3 black balls.…

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Q: A box contains 4 blue marbles, 5 green marbles and 8 red marbles. A marble is picked from the bag at…

A: Given: Total number of marbles in the box is 17 (4 blue marbles, 5 green marbles and 8 red marbles)