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Problem of the Week 849

Alice Rozencrantz and Bob Guildenstern

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Alice tosses 849 fair coins and Bob tosses 850. What is the probability that Alice gets more heads than Bob?

Source: Five Hundred Mathematical Challenges, by Barbeau, Klamkin, and Moser, MAA, 1997.

© Copyright 1997 Stan Wagon. Reproduced with permission.

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The Math Forum

2 October 1998