Question

Babe Ruth's lifetime batting average was 0.343. In three times at bat, what is the probability of the following?Round your answers to two decimal places.What is the probability of Babe Ruth getting three hits in three times at bat?

a)0.03
b)0.11
c)0.24
d)0.35

Answer 1

The probability that Babe Ruth gets three hits in three at-bats, based on his .343 batting average, is approximately 0.04, which does not match any of the given options.

Step-by-step explanation:

The question involves calculating the probability that Babe Ruth would get three hits in three at-bats, given his lifetime batting average of 0.343. To find this probability, we use the multiplication rule for independent events since each at-bat is independent of the others. The probability of getting a hit in each at-bat is 0.343, so we calculate the probability of getting a hit three times in a row by multiplying the probability of the event with itself three times:

P(three hits in three at-bats) = 0.343 * 0.343 * 0.343 ≈ 0.040

After rounding to two decimal places, none of the given options (a) 0.03, (b) 0.11, (c) 0.24, or (d) 0.35 match the calculated probability of approximately 0.04.