A high school baseball player has a 0.212 batting average. In one game, he gets 9 at bats. What is the probability he will get at least 2 hits in the game?

59.92% probability he will get at least 2 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 a getting a hit in each at bat is independent. 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.

In this problem we have that:

In one game, he gets 9 at bats. What is the probability he will get at least 2 hits in the game?

This is when

He either gets less than two hits in the game, or he gets at least two hits. The sum of the probabilities of these events is decimal 1. So

In which

Finally

59.92% probability he will get at least 2 hits in the game.

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