Taking chances. winning with probability (oup)

There are many textbooks on college-level mathematical probability, but a smaller number of what I call "textbooks lite" aimed at a reader who is willing to work to learn some interesting parts of a subject. This wonderful book teaches the basic calculations in mathematical probability, but with a combination of breadth and concreteness unrivaled by any other book I know. The book consists of short sections, each giving verbal discussion of problems involving probability, games of chance and related material, and deriving solutions using only arithmetic and occasional elementary combinatorics and algebra. It covers an impressive breadth of topics: lotteries, dice and card games, casino games, TV show games, racetrack betting, some game theory (Prisoners Dilemma, Hawk-Dove games, Male-Female reproductive strategies), combined with the basic laws of probability and the familiar birthday and coupon collector's problems. Part of the content is distinctly British rather than American (cricket and snooker; premium bonds; the particular TV shows). In addition to familiar types of elementary probability calculations such as the craps example, there are more elaborate stories and calculations involving strategies as games progress. I particularly like the chapter giving a gentle yet entertaining introduction to two-person game theory.