In baseball, a batting average is the probability of the number of hits divided

Question

In baseball, a batting average is the probability of the number of hits divided by the number of times at bat. A batting average over .300 is very good. This means that a player will get a hit 300 times for every 1000 times at bat. So, assume the probability of getting a hit is .359 for each time a player is at bat. In a particular game assume the batter batted three times.

a. This is an example of what type of probability?

b. What is the probability of getting three hits in a particular game? (Round your answer to 3 decimal places.)

c. What is the probability of not getting any hits in a game? (Round your answer to 3 decimal places.)

d. What is the probability of getting at least one hit? (Round your answer to 3 decimal places.)

Explanation / Answer

This is an example of relative frequency. The probability of getting three hits in a particular game is 0.359*0.359*0.359 = 0.046 The probability of not getting any hits is 0.641*0.641*0.641= 0.263 The probability of getting at least one hit is 1-0.263 = 0.737

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