Mathematics, Probability and Poker

Contents Chapter 1. Introduction Chapter 2. Some basic concepts Concept of an event Independence Expectation Calculation of simple probabilities Probability and odds Bayes Theorem Chapter 3. Counting methods Combinations and permutations Computation of permutations Computation of combinations How many aces are out? Chapter 4. Concept of a process Chapter 5. Some Paradoxes Chapter 6. Distributions Chapter 11. Mathematical aids to decision making Optimization Theory Decision Theory Game Theory Prisoner's Delimma Chapter 12. Psychology of Irrational Behavior Availability Error Chapter 15. Statistics What is statistics? Chapter 20. General Linear Model Basic model Influence Misc. topics Gary Carson's sites Poker sites Home page Math and Poker Blog Poker Culture Blog Poker Road Trips blog Playing no limit poker blog Road to the 2007 WSOP blog No Limit Poker website List of poker blogs Poker dealer employment Poker Strategy and Tips Articles Poker and Math List of poker blogs Poker dealer employment My Ebooks The Complete Book of Hold'Em Poker (electronic edition) The Complete Book of Casino Poker (electronic edition Other sites Probability Overnight travel blog Free books Politics Drinking Espresso Basic Probability Off Topic Rant Off Topic Rant Blog Top Colleges Princeton American Tradition blog I get my own business cards from them and it's a legit offer. They just charge for postage and it's quality work. Secretary Problem Optimal Stopping and Applications, by Tom Ferguson, an online textbook. Best-Choice problems with dependent criteria, by Tom Ferguson A Natural Vatiation of the Standard Secretary Problem, by Shoou-Re Hsiau and Jiing-Ru Yang, Statisca Sinica, Vol 10, 2000. Decision-Making on the Full Information Secretary Problem, by Michael D. Lee, Tess A. O'Connor, and Matthew B. Welsh Optimal Stopping Constants, by Steven Finch. Buy it now The Complete Book of Hold'Em Poker

Expectation The study of probability originated with the study of games of chance and gambling, particularly dice games. One of the first concepts developed was that of expectation as a certainty equivalent. Expectation, or expected value, is nothing more than an average. The first textbook on probability(1657) introduced the concept of expectation in this way -- If I have $3 in one closed fist and $7 in the other and offer you a choice, between the two that's equavilent to offering you $5. The expected value to you of the offer is $5. Notice that you won't receive $5. You're either going to get $3 or $7, never $5. But, if you repeat the offer over and over, many times, it will average out to $5 per offer. This idea of expected value is a fundamental concept. Make sure you understand it before moving on. Previous Next Enter your search terms Submit search form

Updates to this website will be announced on the mailing list holdem Click to subscribe to holdem Alspach's Mathematics and Poker Page Brian Alspach used to write a regular column on combinatorics for Poker Digest. He's a retired math professor from Simon Fraser University. Tom Ferguson's home page He's a math ;professor at UCLA and Chris Ferguson's father. MathPages.com A collection of straight-forward introductions to various topics in mathematics and recreational mathematics. Kelly betting These are all somewhat technical articles. A New Interpretation of Information Rate, by J. L. Kelly, Jr. Risk Formulas for Proportional Betting by William Chin and Marc Ingenoso An Optimal Betting Strategy for Repeated Games by Gary Gottlieb. The proportional Bettor's Return on Investment by S. N. Ethier and S. Tavare'