Probability game

Question

The probability of winning a game is 7/15. Determine the probability, expressed as afraction, of winning exactly 3 games if 5 games are played

Answer 1

use binomial probability formula:

given probability (p), n trials, probability of x successes =

n!

--- p^x (1-p)^n-x

x! (n-x)!

for this problem n = 5, x = 3 and p = 7/15 = 0.467.