SOLUTION: If Brian makes 65% of his free throws, what is the probability that he will make 3 out of the 5

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Question 409456: If Brian makes 65% of his free throws, what is the probability that he will make 3 out of the 5
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

If Brian makes 65% of his free throws, 

what is the probability that he will make 3 out of the 5

Note: The probability of x successes in n trials is: 

P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively. 

In this case p= .65 & q = .35

nCx = n%21%2F%28x%21%28n-x%21%29%29 = 5*4*3/2*3 = 10

 P( making 3 out of 5) = 10(.65)^3(.35)^2 = .3364