The Big Monty Hall Book has now been reviewed in Mathematical Reviews. The reviewer is Paul Humphreys, a philosophy professor at the University of Virginia. Let’s have a look:
Those intrigued by the original Monty Hall problem will find that this book is a superb source of variants of the problem, pays careful attention to the hidden assumptions behind the problems, and is written in a witty accessible style that never lapses into flippancy. The reader will find here discussions of the classical three-door problem and N-door variants, progressive versions, how to select the sample space, Bayesian treatments of the problems, computer simulations, quantum versions, information-theoretic representations, discussions of the interpretation of probabilities, common cognitive fallacies associated with the problem, and much more. This is a model of how to accessibly introduce mathematical material at an elementary level that is not a mere popularization of the material. A virtue of the book is that it goes beyond mere exposition to make some serious contributions to the discussion, including a proof that the strategy of switching at the last minute in the progressive version is uniquely optimal and a discussion of some philosophical treatments on the topic.
And the final verdict:
The book contains a comprehensive bibliography on the subject, and is highly recommended for both mathematicians and students.
Score some more!