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?

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 =

                                           =

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

Therefore, the required probability is and it can be written as 0.0028629151 .

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