SOLUTION: A committee of 9 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the probability that the proposal wins by a vote of 7 to 2?

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Question 1134508: A committee of 9 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the probability that the proposal wins by a vote of 7 to 2?
Answer by ikleyn(52817) About Me  (Show Source):
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C%5B9%5D%5E2%2A%281%2F2%29%5E7%2A%281%2F2%29%5E2 = %28%289%2A8%29%2F2%29%2A%281%2F2%29%5E7%2A%281%2F2%29%5E2 = 0.0703 = 7.03%.


The term  C%5B9%5D%5E2  gives you the number of ways to select a group of 2 from the the set of 9 committee members.