Streaks and the Gamblers Fallacy

Question

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 25-game season, you have one game in which you get a hit each of the four times you bat.

13. What is the probability of getting four hits in four at-bats?

(Express as a decimal rounded to four decimal places.)

Answer 1

P(4/4) = (1/3)⁴ = 1/81 = 0.0123