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Suppose a room is full of 250 students. Some are members of the chess club, and some are members of the drama club. These are

Suppose a room is full of 250 students. Some are members of the chess club, and some are members of the drama club. These are not mutually exclusive: some are members of both (perhaps for a performance of Bergman'sThe Seventh Seal?).

There are 50 chess-club students and 60 drama-club students. If we randomly select a student, letC

Cbe the event the student is in the chess club, and letD

Dbe the event the student is in the drama club.

How many students must be in both the chess club and the drama club in order forC

CandD

Dto be independent events?

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