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  3. There are six members on a committee, four of whom are women and two of whom are

There are six members on a committee, four of whom are women and two of whom are

游客2024-01-12  18
问题 There are six members on a committee, four of whom are women and two of whom are men. The members agree to randomly pull two names out of a hat to serve as Chair and Secretary for the group, respectively. What is the probability that both of the men are chosen? Give the probability as a fraction.
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选项
答案 1/15 or equivalent fraction
解析 The correct answer is 1/15 or any equivalent fraction. 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. 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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