Question

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

get a hit 5 at-bats in a row?

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 =
`(31)/(100)`

=
`0.31`

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

`P=0.31* 0.31* 0.31* 0.31* 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 .