SOLUTION: There are seven women and nine men on a committee. A subcommittee of three people is selected at random. What is the probability that all three all three people selected are men g
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Question 1125257: There are seven women and nine men on a committee. A subcommittee of three people is selected at random. What is the probability that all three all three people selected are men given that all three all three are the same gender?
If you do understand the method of solution, looking into this formula, then you can skip my solution below.
Otherwise, read it.
Solution
How many triples of man can you form of 9 man ? - = = 84.
How many triples of women can you form of 7 women ? - = = 35.
Hence, the entire space of events under the question is 84 + 35.
Of them, only 84 are favorable.
It gives you the answer.
