There are six members on a committee, four women and two men. They agree to randomly pull two names out of a hat to serve as Cha

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问题 There are six members on a committee, four women and two men. They agree to randomly pull two names out of a hat to serve as Chair and Secretary for the group. What is the probability that both of the men are chosen? Give the probability as a fraction in lowest terms.

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答案1/15

解析 The correct answer is 1/15. Since there are 6 names in the hat, and 2 are men, the probability that the first name drawn is a man is 2/6=1/3. Then, of the remaining 5 names in the hat, only 1 is a man, so the chances that he will be chosen are 1 in 5. To find the probability of both events occurring, take.
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