Question

The next four batters on a baseball team have hitting percentages of 0.400, 0.325, 0.250, and 0.300, respectively. The team currently has two outs. If any player gets an out, the next player or players will not get an opportunity to bat. What is the probability that the fourth player will have an opportunity to bat? A. 0

Answer 1

For the 4th player to get an at bat, the first three players must get a hit. So you are really looking for the probability of the first three getting a hit in a row....

p=(.4)(.325)(.25)

p=0.0325 (3.25%) (this is of course ignores the possibility of getting walked or hit by pitch :P)

Answer 2

Just to clarify, 3.25% = 13/400, which is B on e2020. The other answer is a lot better than mine, but I just wanted to help anyone to skip a step and get the fraction answer instead of percent.

Hope I helped!