SOLUTION: what is the probability of choosing exactly one woman among 2 women and 4 men forming 3 commute.

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Question 440088: what is the probability of choosing exactly one woman among 2 women and 4 men forming 3 commute.
Answer by stanbon(75887) About Me  (Show Source):
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what is the probability of choosing exactly one woman among 2 women and 4 men forming 3 committee.
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Ways to pick a woman: 2
Ways to pick 2 men: 4C2 = 6
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Ways to pick 3 persons randomly: 6C3 = (6*5*4)/(1*2*3) = 20
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P(1 woman on 3 person committee) = (2*6)/20 = 12/20 = 3/5
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Cheers,
Stan H.