The Monty Hall Problem: The Remarkable Story of Math's Most Contentious Brain Teaser

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Oxford University Press, Jun 4, 2009 - Mathematics - 208 pages
2 Reviews
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 Hall--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 of mathematics (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 issues and 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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User Review  - richardderus - LibraryThing

Rating: 3.5 bumfuzzled stars of five The Publisher Says: Mathematicians call it the Monty Hall Problem, and it is one of the most interesting mathematical brain teasers of recent times. Imagine that ... Read full review

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User Review  - swynn - LibraryThing

Here's the Monty Hall problem: You are playing a game show according to the following rules. There are three doors. One door hides a car, and the other two hide goats. You want to win the car. You ... Read full review

Contents

1 Ancestral Monty
1
2 Classical Monty
35
3 Bayesian Monty
57
4 Progressive Monty
89
5 Miscellaneous Monty
113
6 Cognitive Monty
133
7 Philosophical Monty
155
8 Final Monty
175
A Gallery of Variations
179
Bibliography
183
Index
189
Copyright

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About the author (2009)

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

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