A baseball player has a batting average of 0.346, so the probability of a hit is 0.346. Assume that his hitting attempts are independent of each other. Assume that the batter gets up to bat 4 times in each game. Estimate the probability that in 50 consecutive games, there are at least
45 games in which the batter gets at least one hit. (Hint: first find the probability that in one
Game the batter gets at least one hit)
A) 0.0918
B) 0.0446
C) 0.0643
D) 0.8171

Question

Quizplus · Accepted Answer

The probability that the batter gets at least one hit in one game is 1 - (1 - 0.346)^4 = 0.8171. The probability that the batter gets at least one hit in 50 consecutive games is (0.8171)^50 = 0.0918.

A Baseball Player Has a Batting Average of 0