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
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
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