That’s the Big Monty Hall Book for those unfamiliar with the local slang. The review appeared in the May issue of The American Statistician, not freely available online, alas. The author was Michael Sherman of Texas A & M University. Here’s the opening:
Jason Rosenhouse states on the last page of his book that he encountered much “incredulity” at writing a “whole book” on the “Monty Hall problem.” I confess that I was one of the incredulous upon picking up this book. After reading it, however, I have quite a different view.
And just what is this new view of which he speaks?
Rosenhouse is both entertaining and precise in his writing. He carefully makes the point that conditional probability is difficult to intuitively process, often because what is being conditioned on is not clear. The book is both informative and an entertaining journey for both those schooled in probability and those with little background in probability
Score! That last line is especially gratifying, since there were times when I was writing that I worried about having done exactly the opposite. That is, a book that was too technical for people not schooled in probability but not technical enough for those who were.