SOLUTION: A group consists of six (6) men and four (4) women; assuming four people are selected at random to form a committee, what is the probability that the committee consist of three (3)

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Question 659077: A group consists of six (6) men and four (4) women; assuming four people are selected at random to form a committee, what is the probability that the committee consist of three (3) men and one (1) woman?
Answer by stanbon(75887) About Me  (Show Source):
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A group consists of six (6) men and four (4) women; assuming four people are selected at random to form a committee, what is the probability that the committee consist of three (3) men and one (1) woman?
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# of ways to succeed: 6C3 * 4C1 = 20*4 = 80
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# of random selection of 4 from 10 = 10C4 = 210
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Probability = 80/210 = 8/21
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Cheers,
Stan H.