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Fifty Challenging Problems in Probability with Solutions

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Can you solve the problem of "The Unfair Subway"?
Marvin gets off work at random times between 3 and 5 p.m. His mother lives uptown, his girlfriend downtown. He takes the first subway that comes in either direction and eats dinner with the one he is delivered to. His mother complains that he never comes to see her, but he says she has a 50-50 chance. He has had dinner with her twice in the last 20 working days. Explain.
Marvin's adventures in probability are one of the fifty intriguing puzzle...