One interpretation of a baseball player\'s batting average is as the empirical p

Question

One interpretation of a baseball player's batting average is as the empirical probability of gettig a hit each time the player goes to bat. If a player witt a batting average of 0.206 bats 5 times in a game, and each at-bat is an independent event, what is the probability of the player getting at least one hit in the game? One interpretation of a baseball player's batting average is as the empirical probability of gettig a hit each time the player goes to bat. If a player witt a batting average of 0.206 bats 5 times in a game, and each at-bat is an independent event, what is the probability of the player getting at least one hit in the game?

Explanation / Answer

P(getting a least one hit) = 1 - P(no hits)

P(not hitting a hit in game)= q^5

   q=1-p

       =1-0.206 =0.7940

P(not hitting a hit in game )     =0.7940^5 =0.3156

P(getting a least one hit) = 1 - P(no hits)

                                            =1-0.3156

                                            =0.6844

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