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 6 to 3?
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Question 284150: 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 6 to 3? Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! The probability of y or n = .5
expand the binomial (y+n)^9
y^6*n^3 has a coefficient of nCr=9C6=84
84*.5^6*.5^3=.164 the probability that the proposal wins by a vote of 6 to 3.
