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In: Statistics and Probability

Rework problem 24 from section 3.2 of your text, involving the subcommittee. For this problem, assume...

Rework problem 24 from section 3.2 of your text, involving the subcommittee. For this problem, assume that the committee contains 6 men and 8 women and that three are selected at random for a subcommittee. What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?

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Expert Solution

so, final answer is 0.416 or 41.67 %

(note that the event of 2 men and 1 woman in subcommittee is a subset of event of having both men and women in the subcommittee hence the intersection of both these events will be the former event itself ( that is 2 Men and 1 woman in subcommittee) . This is a typical conditional probability problem)

orchestra answered 2 years ago
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