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suppose that the committee members are chosen at random, with every member of th

Mathematics
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suppose that the committee members are chosen at random, with every member of the board equally likely to be chosen.  What is the probability that the committee members are all women?

 three men and six women. 

3 members per committee

Apr 12th, 2015

The combination of just 3 women is 6C3

The combination of 3 members of any gender is 9C3

Then the probability of choosing only women is

6C3 / 9C3 = 20 / 84 = 0.238

Apr 12th, 2015

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Apr 12th, 2015
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