You play softball and have a batting average of 333 meaning

You play softball and have a batting average of .333, meaning that you average about one hit in every three times at bat. During your 35-game season, you have one game in which you get a hit each of the three times you bat.

What is the probability of getting three hits in three at-bats?

__________ (Round your answer to three decimal places.)

Solution

Given,

You average about one hit in every three times at bat.              // 1 hit in 3 balls

Probability of getting hit = 1 / 3      or 0.333

Probability of getting three hits in three at bats = Probability of getting hit each time

                              = 1/3 * 1/3 * 1/3                                                    // since there were 3 hits in three bats

Probability of getting three hits in three at bats = 1 / 27