Question

The table below shows a baseball player’s batting average batting left and right versus left- and right-handed pitches Left-handed pitchers Right-handed pitchers Bats left 0.285 0.175 Bats right 0.215 0.250 Assume these numbers are the probabilities that he will get a hit during an “at bat.” On average, when he bats left 100 times, how many more hits will he get when he faces left-handed pitchers as opposed to right-handed pitchers? 1 2 11 22

Answer 1

C. 11 is the correct answer

Explanation:

The table representing the probabilities of player's batting average is,

Left-Handed pitchers Right-Handed pitchers

Bats Left 0.285 0.175

Bats Right 0.215 0.250

So, when the players bats left 100 times,

The probability of hits he gets when faced by left-handed pitchers = 0.285 × 100 = 28.5

The probability of hits he gets when faced by right-handed pitchers = 0.175 × 100 = 17.5

Thus, the difference in the hits = 28.5 - 17.5 = 11

Hence, the player will get 11 more hits t when he faces left-handed pitchers as opposed to right-handed pitchers.