SOLUTION: A baseball player has a batting average of 0.2. What is the probability that he has exactly 2 hits in his next 7 at bats?

Question 1094209: A baseball player has a batting average of 0.2. What is the probability that he has exactly 2 hits in his next 7 at bats?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

One part of the problem is determining how many different ways we can choose the 2 out of 7 times at bat that are the ones when he gets a hit. That number of ways is the number "7 choose 2", which is

The other part is the probability part; each of the times that he gets a hit the probability is 0.2; each time he does not get a hit the probability is 0.8.

All together, the probability that in his next 7 times at bat he gets a hit 2 times and does not get a hit 5 times is
(approximately)
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