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?

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) (Show Source): You can put this solution on YOUR website!
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.
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