A high school baseball player has a 0.221 batting average. In one game, he gets 7 at bats. What is the probability he will get at least 5 hits in the game?

Answer 1

Binomial distribution probability formula applies here.

P(x successes in n tries) = C(n,x) (p)^x (1-p)^(-x), where p = probability of success and C(n,x) number of combinations of x out of n.

P(x >= 5) = P(x = 5) + P(x = 6) + P(x = 7), where p = 0.221, n = 7.