Curveball by Jim Albert and Jay Bennett
The book deals with the role of chance in the game. Winner of the 2001 SABR Baseball Research Award
, an award given to the best baseball research publications in general, not just covering the field of statistics, but history, biography, and otherwise.
The book can be fairly heavy at times, but fortunately it also serves as a good introduction to statistics and probability. The book starts off using the early table-top baseball games like Strat-o-matic to describe simple models and expands throughout the following chapters. Nonetheless, I couldn't put it down.
Albert and Bennett also wrote a textbook that uses baseball to teach high school students about statistics.