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Title: DRAW POKER ODDS: The Mathematics of Classical Poker;   Author: Catalin Barboianu;   paperback: ISBN 9738752051, 312 pages, 6 x 9 in format (ebook: ISBN 9738752043, 1.6 MB, PDF).

   Annotation:

        Like any variation of poker, draw poker (or classical poker) is also predisposed to probability-based decisions.
The author presents the mathematics involved in this card game, with respect to the usage of the numerical results in players’ strategies.
       The whole presentation is focused on the practical aspect of the application of probability theory in draw poker and all the sections are such structured to allow the direct usage of the numerical results. This is why every section is packed with tables, some of them filling dozens of pages.
       This is not a math book, even if the supporting mathematics is present thorough, but a guide addressed to poker players, who can skip the math parts at any time and pick the needed results from tables.
       For those interested, the complete methodology, the way probability theory is applied and a part of the calculations are shown, so it teaches the player how to calculate odds for any situation for every stage of the game, even the numerical results are already listed in the book.
       Want to evaluate the probability of one opponent bluffing? Want to know the probability of at least one opponent holding a card formation higher than yours, at any moment of the game? Want to know the probability of hitting the desired formation if discarding in a certain way? All this information is in the book and is fully mathematically grounded.

       All probability results from this guide are obtained through compact mathematical formulas and not partial simulations on computer. These formulas are the outcome of one year of study, math work and tests. The author found the right probability model in which to apply the theory and conveniently quantify the card distributions in order to work out the draw poker probability formulas. They were built with an enough large range of variables to cover all possible situations and were never worked out before.
       Their numerical returns were gathered in three main categories of odds presented in the book: 
– Initial probabilities of the first card distribution for your own hand;
– Prediction probabilities after first card distribution and before the second for your
own hand;
– Prediction probabilities for opponents’ hands.
       Every section ends with suggestive examples and there is also a special chapter with a lot of relevant gaming situations presented along with the odds of their associated events.

       Among author’s previously published books on mathematics of gambling, Draw Poker Odds seems to be the most practical one and that is because the author presents the results of applied probability in a gambling-behavioral manner that can influence the balance between the subjective strategies and the real odds in player’s favor.

  About the Author
Catalin Barboianu (born in 1968, in Craiova, Romania) is a mathematician and author. He graduated Faculty of Mathematics, at University of Bucharest, in 1992, with a master of science in Probability and Mathematical Statistics. He studied under great scientific names like Solomon Marcus, Constantin Craciun and Ion Cuculescu. He worked early in his career on topology, mathematical analysis, probability theory, mathematical modeling and also on philosophy of mathematics. However, his most important contribution was on decision theory, placing the concept of probability-based strategy onto a firm mathematical foundation. From 2001, his fields of expertise moved to applied mathematics, especially on applications of probability theory in daily life. Since 2003, his work focused on application of probability theory in gaming. His books have a guide style and primly address to non-mathematicians. He also published several articles on leading academic and gaming industry as well and became a recognized authority on mathematics of games and gambling. He is also an active member of MAA (Mathematical Association of America) and SIAM (Society for Industrial and Applied Mathematics).

 

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