Question

If a baseball player get a hit in 31% of his at-bats, what is the probability that he will

Answer 1

Given:

A baseball player get a hit in 31% of his at-bats.

To find:

The probability that he will  get a hit 5 at-bats in a row.

Solution:

Since, a baseball player get a hit in 31% of his at-bats, therefore

Probability that he get a hit = $\dfrac{31}{100}$

                                           = $0.31$

Now, the probability that he will  get a hit 5 at-bats in a row is

$P=0.31\times 0.31\times 0.31\times 0.31\times 0.31$

$P=(0.31)^5$

$P=0.0028629151$

Therefore, the required probability is $(0.31)^5$ and it can be written as 0.0028629151 .