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Back to 4.4 Problems on Independence of Events

4.4 Exercise 14

Avg difficulty 2.5

In a group there are M men and W women; m of the men and w of the women are college graduates. An individual is picked at random. Let A be the event the individual is a woman and B be the event he or she is a college graduate. Under what condition is the pair {A,B}\left\{A , B\right\} independent?

Pfeiffer, Applied Probability, 4.4 Problems on Independence of Events, exercise 14

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.