There are few mathematical subjects that are better at tantalising and intriguing than problems involving probability. In part because our natural grasp of probability is so weak, the outcomes of probability questions have an unrivalled ability to take us by surprise, to the extent that some simply deny that the outcome can possibly be right. I remember when the  Monty Hall problem  was first publicised a number of us were so unhappy with the right answer that we wrote computer simulations to see if the counter-intuitive solution was correct. (It was.) This is doubly apt when looking at Paul Nahin’s book as it features regular examples of computer code to check out results, and it covers a number of other problems that were publicised by Marilyn vos Savant in  Parade magazine, the same source that made Monty Hall famous in the first place. Here though, sadly, Ms vos Savant is on the losing side, as Nahin points out a number of errors in her columns that have cover...