Problem

World Series winners. The New York Yankees, a member of the Eastern Division of the Americ...

World Series winners. The New York Yankees, a member of the Eastern Division of the American League in Major League Baseball (MLB), recently won three consecutive World Series. The accompanying table summarizes the 16 MLB World Series winners from 1990 to 2006 by division and league. (There was no World Series in 1994, due to a players’ strike.) One of these 16 World Series winners is to be chosen at random.

a. Given that the winner is a member of the American League, what is the probability that the winner plays in the Eastern Division?


b. If the winner plays in the Central Division, what is the probability that the winner is a member of the National League?


c. If the winner is a member of the National League, what is the probability that the winner plays in either the Central or Western Division?

 

League

National

American

Division

Eastern

3

7

Central

2

2

Western

1

1

Source: Major League Baseball.

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