SOLUTION: Thanks for taking the time to answer my question. I think it uses combinations and is a bit tricky: The possibility that a basketball player will make a given free throw is 3/5.

Algebra ->  Permutations -> SOLUTION: Thanks for taking the time to answer my question. I think it uses combinations and is a bit tricky: The possibility that a basketball player will make a given free throw is 3/5.      Log On


   

Question 879528: Thanks for taking the time to answer my question. I think it uses combinations and is a bit tricky:
The possibility that a basketball player will make a given free throw is 3/5. To find the probability that the player makes exactly 9 out of his next 10 free throws, evaluate the term 10 C 9 (3/5)^9(2/5)^1 in the expansion of (3/5 + 2/5)^10
Thank you, please include the answer as well as the steps how you got that answer (so I can understand the problem). -Leo
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Using P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+
p and q are the probabilities of success and failure respectively.
In this case p = 3/5 and q = 2/5, n = 10
nCx+=+%28n%21%29%2Fx%21%28n+-+x%29%21%29
P(x = 9) = 10C9(3/5)^9(2/5)^1 = 10(3/5)^9(2/5)^1 = .0403 0r 4.03% chance