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

by

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 stic
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## Get A Copy

Hardcover, 194 pages

Published
June 1st 2009
by Oxford University Press, USA
(first published May 4th 2009)

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## Community Reviews

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

This review of a completely bewildering and very important mathematics-related book has been revised and can now be found, feeling itself out of place no doubt among all the lit and smut, at Expendable Mudge Muses Aloud. ...more

That isn't all there is to the problem, though. The original column initiated a firestorm of controversy, and vos Savant had to answer it multiple times. Many prominent mathematics instruct ...more

This book proves the correct answer in multiple ways. After the fourth or fifth proof it finally clicked in my head.

After that, the various additional proofs and variations did get boring to me, so I skimmed lots of them. But there's more! Apart from the mathematical problem itsel ...more

Here is how I will proceed:

1. Statement of the Monty Hall Problem and brief notes on history

2. The answer to the Monty Hall Problem

3. Intuitive approaches to the Monty Hall Problem

4. Monte Carlo/computer programming approaches to solving the Monty Hall Problem

5. A formal proof of the solution

6. A book review (beyond what's in ...more

Favorite Quote: "All of these questions are answered easily by enumerating the sample space..." (p. 46). ...more

It's funny, witty, and full of some good math problems that will, as the book warns, "Make you go crazy".

It's overall really good, though you will need background knowledge. ...more

In a nutshell:

"You are shown three identical doors. Behind one of them is a car. The other two conceal goats. You are asked to choose, but not open, one of the doors. After doing so, Monty, who knows where the car is, opens one of the two remaining doors. He always opens a door he knows to be incorrect, and randomly chooses which door to open when he has more than one option (which happens on those occasions where your initial choice conceals the car). After openi ...more

Mar 26, 2014
Kyle
rated it
it was amazing
·
review of another edition

Shelves:
puzzle,
science-general

I don't ever seem to be disappointed by Jason Rosenhouse's books, and this book heartily lives up to that standard. Dr. Rosenhouse does a great job of explaining the possible solutions to the Monty Hall problem and looking at why we poor humans are so bad at getting the solution. He also takes us through a bunch of variations of the Monty Hall problem, which if the original didn't trip you up, you are almost assuredly going to be tripped up by one variation or other.

The book is clear, and doesn' ...more

The book is clear, and doesn' ...more

While the analysis of the problem itself is fascinating, the research into why we have such difficulty understanding the problem is even more so. Why is it so counter-intuitive fo ...more

I really enjoyed 2/3s of the chapters. The endless variations and calculations got a bit boring after a while, though. It was great to get to the psychology and philosophy chapters which really brought a neat take to the topic.

I just read a whole book on one brain teaser/math problem... I'm quite ageek. ...more

If you like math/science nonfiction at all, I guarantee you'll like some of this book. But by the end, you'll know more than you probably wanted to about the Monty Hall problem.

With that caveat, I recommend it. ...more

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