SOLUTION: From a small class of 24 students with 8 men and 16 women, if a random sample of 5 students is drawn without replacement, what is the probability of getting exactly 3 men?

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Question 466219: From a small class of 24 students with 8 men and 16 women, if a random sample of 5 students is drawn without replacement, what is the probability of getting exactly 3 men?
Answer by stanbon(75887) About Me  (Show Source):
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From a small class of 24 students with 8 men and 16 women, if a random sample of 5 students is drawn without replacement, what is the probability of getting exactly 3 men?
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# of ways to select 3 men: 8C3*16C2 = 6720
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# of ways to select 5 from 24: 24C5 = 42504
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P(3 men and 2 women) = 6720/42504 = 0.1581
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Cheers,
Stan H.
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