Question

Joe's batting average is .323. What is the probability that he will get three hits in three at-bats?

a) 0.032
b) 0.105
c) 0.109
d) 0.103

Answer 1

To find the probability of Joe getting three hits in three at-bats with a batting average of .323, you multiply the probability for each at-bat (0.323) three times. The result is approximately 0.0337, but given the options, the closest answer is (a) 0.032.

Step-by-step explanation:

The question asks about the probability of a baseball player, Joe, getting three hits in three at-bats, given his batting average is .323. This means each at-bat is an independent event, and the probability of Joe getting a hit in any given at-bat is 0.323. To find the probability of Joe getting hits in three consecutive at-bats, we multiply the probability of getting a hit in each at-bat. Therefore, the calculation is 0.323 × 0.323 × 0.323, which equals approximately 0.0337.

However, this result is not one of the options provided in the question. The closest option to our calculation is (a) 0.032, which may be due to rounding differences or a mistake in the question. To provide the exact answer from the options given, the correct choice would be option (a).