SOLUTION: A committee of 5 is to be selected from a group of 6 men and 9 women. If the selection is made randomly, what is the probability that the committee consist of 3 men and 2 women?
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Question 344357: A committee of 5 is to be selected from a group of 6 men and 9 women. If the selection is made randomly, what is the probability that the committee consist of 3 men and 2 women? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A committee of 5 is to be selected from a group of 6 men and 9 women. If the selection is made randomly, what is the probability that the committee consist of 3 men and 2 women?
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# of ways to pick 3 men: 6C3 = 20
# of ways to pick 2 women: 9C2 = 36
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So, # of ways to pick 3 men and 2 women = 20*36 = 720
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# of ways to pick 5 people randomly: 15C5 = 3003
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Ans: Probability = 720/3003 = 0.2398
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Cheers,
Stan H.
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