The Doctrine of Chances Probabilistic Aspects of Gambling /

• Main Author: Ethier, Stewart N. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Probability and its Applications,
• Subjects: Mathematics.; Distribution (Probability theory).; Probability Theory and Stochastic Processes.; Game Theory, Economics, Social and Behav. Sciences.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-78783-9

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 classi...

Table of Contents:

• Preface
• Part I Theory. 1. Review of Probability. 2. Conditional Expectation. 3. Martingales. 4. Markov Chains. 5. Game Theory. 6. House Advantage. 7. Gamblers Ruin. 8. Betting Systems. 9. Bold Play. 10. Optimal Proportional Play. 11. Card Theory
• Part II Applications. 12. Slot Machines. 13. Roulette. 14. Keno. 15. Craps. 17. Video Poke. 18. Faro. 19. Baccarat. 20. Trente et Quarante. 21. Twenty-One. 22. Poker
• A Appendix. A.1. Results from algebra and number theory. A.2.Results from analysis and probability
• List of Notations. Answers to Selected Problems. References
• Index.