A high school baseball player has a 0.159 batting average. In one game, he gets 9 at bats. What is the probability he will get at least 7 hits in the game?

0.0068% probability he will get at least 7 hits in the game

Step-by-step explanation:

For each at bat, there are only two possible outcomes. Either he gets a hit, or he does not. The probability of getting a hit in an at-bat is independent of other at-bats. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

A high school baseball player has a 0.159 batting average.

This means that in each at-bat, the probability of getting a hit is 0.159.

9 at bats.

This means that

What is the probability he will get at least 7 hits in the game?

In which

0.0068% probability he will get at least 7 hits in the game