SOLUTION: There are 5 women and 7 men who are reporters for a magazine. There are 6 articles that need to be written. If 6 reporters are chosen at random to write the articles, what is the p
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Question 314281: There are 5 women and 7 men who are reporters for a magazine. There are 6 articles that need to be written. If 6 reporters are chosen at random to write the articles, what is the probability that 3 are men and 3 are women? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! There are 5 women and 7 men who are reporters for a magazine. There are 6 articles that need to be written. If 6 reporters are chosen at random to write the articles, what is the probability that 3 are men and 3 are women?
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# of ways to select 3 men: 7C3 =
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# of ways to select 3 women: 5C3 =
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# of ways to choose 6 randomly: 12C6 = 924
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P(3 men and 3 women) = [35*10]/924 = 0.3788
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Cheers,
Stan H.
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