The Doctrine of Chances : Probabilistic Aspects of Gambling Three centuries ago Montmort and De Moivre published two of the first books on probability theory then called the doctrine of chances emphasizing its most important application at that time games of chance. This volume on the probabilistic aspects of gambling is a modern version of those classics. While covering the classical material such as house advantage and gamblers ruin it also takes up such 20th century topics as martingales Markov chains game theory bold play and optimal proportional play. In addition there is extensive coverage of specific casino games such as roulette craps video poker baccarat and twenty one. The volume addresses researchers and graduate students in probability theory stochastic processes game theory operations research statistics but it is also accessible to undergraduate students who have had a course in probability. Theory Review of Probability Conditional Expectation Martingales Markov Chains Game Theory House Advantage Gambler’s Ruin Betting Systems Bold Play Optimal Proportional Play Card Theory Applications Slot Machines Roulette Keno Craps House Banked Poker Video Poker Faro Baccarat Trente et Quarante Twenty One Poker.