Question: The table below has information on 1196 regular
season batting date for Cal Ripken. What are: (1) the odds of Cal Ripken getting a
hit or not getting a hit on a specific at bat; and (2) the odds of a home run
or not getting a home run on a specific at bat?
Data for Cal Ripken 1996 Season


Singles

111

Doubles

40

Triples

1

Home Runs

26

At Bats that Did not end in a hit

462

At Bats

640

Batting Average

0.278

Definition of odds: The odds an event will occur is defined as
P/(1P) where P is the probability the event
will occur and 1P is the probability that the complement of the event will
occur.
Answer to Example 5.2: The odds of a Cal Ripken hit are 0.385 (0.278/(10.278)) and
the odds of not obtaining a hit are the reciprocal 2.60. Home run odds are
0.043 (0.041/0.959) while odds of not getting a home run are the reciprocal
23.4.
Author's Note: This problem first appeared in my book Statistical Applications of Baseball, published in 1996. It is available at a very low price on kindle.
https://www.amazon.com/StatisticalApplicationsBaseballStatisticsSportsebook/dp/B006M3PQWQ
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