A high school baseball player has a 0.193 batting average. In one game, he gets 7 at bats. What is the probability he will get at least 2 hits in the game?

Answer 1

this is a binomial problem

probability of hit (h) = .193

probability of no hit (n) = 1 - .193 = .807

at least 2 means not zero and not one

(n + h)^7 = n^7 + 7 n^6 h...

p(h ≥ 2) = .807^7 + (7 * .807^6 * .193)