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there are 6 women and 5 men on a committee. What is the probability that all three people selected are women, given that all three selected are the same gender?
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there are 6 women and 5 men on a committee. What is the probability that all three people selected are women, given that all three selected are the same gender?

User Roookeee
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1 Answer

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Number of ways of selecting all three the same gender = 6C3 + 5C3 = 20 + 10 = 30
The probability that all three people selected are women, given that all three selected are the same gender = 6C3 / (6C3 + 5C3) = 20 / 30 = 2/3
User Angelo Di Donato
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