SOLUTION: There are 10 people at a party, five men and five women. If four people are selected at random, what is the probability that two men and two women are selected?

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Question 616110: There are 10 people at a party, five men and five women. If four people are selected at random, what is the probability that two men and two women are selected?
Answer by stanbon(75887) About Me  (Show Source):
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There are 10 people at a party, five men and five women. If four people are selected at random, what is the probability that two men and two women are selected?
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# of ways to succeed: 5C2*5C2 = 10*10 = 100 ways
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# of random sets of 4 people: 10C4 = 210
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P(2men and 2 women) = 100/210 = 10/21
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Cheers,
Stan H.