A high school baseball player has a 0.316 batting average. In one game, he gets 8 at bats. What is the probability he will get at least 4 hits in the game?

Question

A high school baseball player has a 0.316 batting average. In one game, he gets 8 at bats. What is the probability he will get at least 4 hits in the game?

Answer 1

Use binomial formula to find probability will get 4, 5, 6, 7, 8 hits, then sum probabilities

probability of getting k successes in n tries with probability of success = p:

P(k successes) = C(n,k) p^k (1-p)^n-k

C(n,k) is combinations of n taking k at a time: n!/(k!(n-k)!)

Here n is 8, k = 4, 5, 6, 7, 8, p = 0.316.