This project is part of an ongoing program focusing on mathematical questions in game theory, and in particular on mathematical models of poker and poker-like games. This is an active area of research at the interface of mathematics and economics with a wide range of real-world applications. This is a discussion on Bill Chen - 'The Mathematics Of Poker' Study Group within the online poker forums, in the Cash Games section; Hello:) This will be the ongoing Study Group thread for Bill.

The one unrelenting fact about poker is that it is truly all about the math. The Mathematics of Poker is very important. There is a probability for every outcome in online poker and a statistic for every hand of the poker game. Some of them are fun, some of them matter and some of them are just for MIT graduates. They are helpful to your online poker game and by having a general knowledge on the mathematics of poker you put yourself in a better position to understand the game of poker over the long run. Here is some more math, with a 100% deposit bonus you can double your starting bankroll, get your Bovada Bonus Codes now.

Math Odds For Being Dealt Specific Hands In Hold’em

• The odds you will be dealt a pair of aces: 220:1
• Odds you will be dealt any pair: 16:1
• The odds you will be dealt AK suited: 330:1
• Odds you will be dealt AK: 110:1
• The odds you will be dealt either a pair or a hand with an ace: 3.91:1

Math of Poker - Basics The game of poker is a card game played among two or more players for several rounds. There are several varieties of the game, but they all tend to have these aspects in common: The game begins with each player putting down money allocated for betting.

Mathematics of Poker For The Flop In Texas Hold’em

• If you hold a pair, the odds against flopping a set are 7.51:1
• You hold AK, the odds against flopping either an ace or a king are: 2.08:1
• If you hold a suited hand, the odds against flopping a four flush are 8:14:1
• When you hold QJ, the odds against flopping an outside straight draw are 15.6:1
• If you hold KQ, the odds against flopping a nut straight (AJT) are 305:1

Odds For Completing A Hand With Two Cards To Come In Hold’em

• The odds against completing a four flush: 1.86:1
• Odds against completing an outside straight draw: 2.18:1
• The odds against completing an inside straight draw: 5.07:1
• The odds against making a set by the river when you hold a pair: 10.88:1

Flopping Over Cards With Pocket Pairs In Texas Hold’em

• You hold KK, the odds that no over cards will fall on the flop are: 0.29:1 (an Ace will fall about 22% of the time)
• Odds you hold QQ, the odds that no over cards will fall on the flop are: 0.71:1 ( an over card will fall about 41% of the time)
• You hold JJ, the odds that no over cards will fall on the flop are: 1.32:1 (an over card will fall about 57% of the time)
• You hold TT, the odds that no over cards will fall on the flop are 2.28:1 (an over card will fall about 70% of the time)

Mathematics of Poker For Five Card Draw Poker

• Odds that you will be dealt a pair of jacks or better: 6.69:1
• The Odds that you will be dealt a pair of tens or lower: 2.42:1
• You will be dealt two pair: 20:1
• Odds that you will be dealt three of a kind: 46.3:1
• The Odds that you will be dealt a straight 254:1
• Odds that you will be dealt a flush: 508:1
• The Odds that you will be dealt a full house: 693:1
• Odds that you will be dealt four of a kind: 4164:1
• The odds that you will be dealt a straight flush: 64973:1
• If you hold one pair and draw three, your odds against making two pair or better are 2.48:1. With the same hand, your odds against making trips or better are 6.86:1
• When you hold three of a kind and draw two, your odds against making a full house or better are 8.65:1
• You hold an open ended straight and draw one, your odds against completing to a straight are 4.88:1
• If you hold an inside straight and draw one, your odds against completing to a straight are 10.75:1

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Author: Bill Chen, Jerrod Ankenman

Year: Nov 2006

The Mathematics Of Poker

Print house: Conjelco

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Understanding The Math Of Poker

The Mathematics Of Poker Pdf

In the late 1970s and early 1980s, the bond an option markets were dominated by traders who had learned their craft by experience. They believed that there experience and intuition for trading were a renewable edge; this is, that they could make money just as they always had by continuing to trade as they always had. By the mid-1990s, a revolution in trading had occurred; the old school grizzled traders had been replaced by a new breed of quantitative analysts, applying mathematics to the 'art' of trading and making of it a science. Similarly in poker, for decades, the highest level of pokers have been dominated by players who have learned the game by playing it, 'road gamblers' who have cultivated intuition for the game and are adept at reading other players' hands from betting patterns and physical tells. Over the last five to ten years, a whole new breed has risen to prominence within the poker community. Applying the tools of computer science and mathematics to poker and sharing the information across the Internet, these players have challenged many of the assumptions that underlie traditional approaches to the game. One of the most important features of this new approach is a reliance on quantitative analysis and the application of mathematics to the game. The intent of this book is to provide an introduction to quantitative techniques as applied to poker and to a branch of mathematics that is particularly applicable to poker, game theory. There are mathematical techniques that can be applied for poker that are difficult and complex. But most of the mathematics of poker is really not terribly difficult, and the authors have sought to make seemingly difficult topics accessible to players without a very strong mathematical background.