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Book:   Your Brain: The Missing Manual
Subject:   The Monty Hall problem
Date:   2008-07-09 06:11:10
From:   Matthew
Response to: Why I recommend this book

The Monty Hall problem is a tricky one, because the solution seems so thoroughly counterintuitive. The short answer is that the final choice between two doors isn't a "simple probability problem" because the state of those doors (what's behind them) has been influenced by the host's prior decision, and the host's decision was not made randomly. But if you aren't convinced by the probability tree, try the game that's described in the book, and enjoy the chance to beat the pants off your friends two thirds of the time! (I know I did.) Or, for a more intense mathematical explanation, head to Wikipedia and search for "Monty Hall problem" or "Three Prisoners problem."


Incidentally, I didn't intend to give mathematicians a bad rap--during the Parade controversy a significant minority wrote in to express embarassment that so many of their colleagues had jumped to the wrong conclusion using their instincts, rather than take the time to work out the problem on paper.


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"One of the beauties of the Missing Manuals is that there is always something new to discover and the research is quite thorough...I kept finding snippets of information, in the way of Tips or Notes, that would give just that bit extra."
--Graham K. Rogers, Bangkok Post