A subcommittee is to be selected from a committee of men and women. For this problem, assume that there are 8 men and 5 women on the committee, and that a subcommittee of 3 is selected at random. What is the probability that all are male given that all are the same sex?

Q: There are three urns that each contain 10 balls. The first contains 2 white balls and 8 red balls,…

A: Given Information: There are three urns that each contain 10 balls. The first urn contains 2 white…

Q: Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at…

A: If n objects are drawn without replacement from N objects of which a objects are of type 1 and b…

Q: A committee of 5 persons is to be formed from 6 men and 4 women. What is the probability that the…

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Q: Assume that the committee consists of 7 Republicans and 6 Democrats. A subcommittee of 5 is randomly…

A: There are total (7+6)=13 persons. We can select any 5 persons from 13 persons in 13C5=1287 ways   If…

Q: Assume that there are 13 board members: 7 females, and 6 males including Simeoni. There are 5 tasks…

A: 1) Given that there are 13 board members in which 7 females and 6 males including Simeoni. There are…

Q: Suppose a jar contains a total of 72 marbles. There are 17 red marbles, 23 blue marbles and 32 black…

A: It is given that, A jar contains a total of 72 marbles out of which there are 17 red marbles, 23…

Q: committee of 3 is to be chosen from 14, 10 females and 4 males, at random. Josue is one of the…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

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A: Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out…

Q: Suppose the composition of the Senate is 47 Republicans, 49 Democrats, and 4 Independents. A new…

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Q: In a class of 37 students, 17 are taking an AP test, 15 are taking an IB test and 6 are taking both.…

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Q: Assume that the box contains 11 balls: 3 red, 3 green, and 5 blue. Two balls are drawn at random,…

A: There are total 11 balls, among which 3 are red, 3 green and 5 blue.

Q: The manager of the high school baseball team randomly selects 7 pitchers from a group of 13 students…

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Q: Suppose a math class contains 47 students, 24 females (four of whom speak French) and 23 males (six…

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Q: A child is allowed to have 2 treats from a bag containing 21 chocolates, 11 hard candies, and 10…

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Q: A subcommittee is to be selected from a committee of men and women. For this problem, assume that…

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Q: , find the probability that neither is red.

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Q: If mary has 10 pop cans and there are 4 Coca Cola cans. Let’s assume Mary will place these cans in a…

A: The number of ways in which 10 cans can be arranged in a line at random , with 4 of them being…

Q: Assume for this problem that the company has 7 Jeeps and 4 Fords, and two cars are selected randomly…

A: From 7 jeep representative select 2 jeep cars in 7C2 ways. There are total 11 cars including both…

Q: Suppose there are 3 Americans, 9 Germans, and 6 Swiss in the room and we need to select a committee…

A: The following information has been provided: Number of Americans=3 Number of Germans=9 Number of…

Q: A committee of 2 is chosen at random from a population of 4 men and 5 women. What is the probability…

A: given data, A committee of 2 is chosen at random from a population4 men5 women9-total members the…

Q: Consider two boxes: box I contains 3 blue and 2 red marbles; box II contains 3 blue and 5 red…

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Q: We are randomly select 4 people from a group consisting of 6 politicans and 10 criminals. Find the…

A: Number of politicians = 6 Number of criminals = 10 Total number of people = 16

Q: Suppose you have three bowls, X, Y , and Z with some number of red and blue balls. Bowl X has 2 red…

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