The Monty Hall Problem, Reconsidered

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Abstract:

The Monty Hall problem is one of the most frustrating brainteasers in all of mathematics. Despite its seemingly simple game-show format, most people, even those with mathematical training, find it very challenging. Part of the difficulty lies in the counter-intuitive nature of conditional probability. We offer an intuitive guide to focusing on what is important in the problem. We then show how to apply this new-found intuition to numerous, increasingly complicated, variations on the basic set-up.

Document Type: Research Article

DOI: http://dx.doi.org/10.4169/002557009X478355

Publication date: December 1, 2009

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