The Monty Hall Problem: The Remarkable Story of Maths Most Contentious Brain Teaser

Hardcover | June 18, 2009

byJason Rosenhouse

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Mathematicians call it the Monty Hall Problem, and it is one of the most interesting mathematical brain teasers of recent times. Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host -- call him Monty Hal l-- opens a different door,always choosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum ofmathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issuesand has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.

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Mathematicians call it the Monty Hall Problem, and it is one of the most interesting mathematical brain teasers of recent times. Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host -- call him Monty Hal l-- opens a different door,always choosing one he knows to be empty. Left w...

Jason Rosenhouse is an Associate Professor of Mathematics at James Madison University in Virginia.

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Format:HardcoverDimensions:208 pages, 6.3 × 9.21 × 0.79 inPublished:June 18, 2009Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0195367898

ISBN - 13:9780195367898

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Table of Contents

PrefaceAcknowledgments1. Ancestral Monty2. Classical Monty3. Bayesian Monty4. Progressive Monty5. Miscellaneous Monty6. Cognitive Monty7. Philosophical Monty8. Final MontyAppendix: A Gallery of VariationsBibliographyIndex