Question

For a certain baseball player the probability that he gets a hit is .3 if the pitcher is left handed and .7 if the pitcher is right handed. Approximately 27% of major league baseball pitchers are left handed and 73% are right handed. For this baseball player, what is the probability that he gets a hit on a given at bat?

Answer 1

0.592

Step-by-step explanation:

the probability that he gets a hit = the probability that he gets a hit off a left handed player multiplied by the proportion of left handed players plus the probability of a hit off a right handed player multiplied by the proportion of right handed players.

Left Handed = 0.3 x 0.27 = 0.081

Right handed = 0.7 x 0.73 = 0.511

Total probability of a hit = 0.081 + 0.511 = 0.592