Poker hands in five-card draw poker – Straight flush, Four of a kind and Full house

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In the classic game (without joker or added cards) the hands, or possible combinations, of the lowest to highest, are: No combination or draw, Current games that can be improved: Pair < Two pair < Three of a kind, Strong … Read More

Simple sequences of betting in poker

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To illustrate the mechanism of the betting and the corresponding mathematical reasoning, here it is assumed that: eight players play poker with 52 cards. The initial pot is an amount P; Alice opens, Bob calls, and the others fold; the … Read More

Major poker tournaments

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Betting structure There are three different betting formats: In a structured betting system (fixed limit), bets and raises are of a specific amount, which increases steadily during the tournament. For example, for a stud tournament with seven cards and bets … Read More

Omaha hi-lo split-8 or better

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 (Showdown in Omaha hi-lo. The left player wins the pot with nuts 5-4-3-2-1. The right player wins the pot with the strongest hand with a fives full of jacks, https://commons.wikimedia.org/wiki/File:Poker_Omaha_hilo_showdown1.jpg)  (Best starting hand in Omaha hi-lo, https://commons.wikimedia.org/wiki/File:Poker_Omaha_Beispielhand2.jpg) In Omaha hi-lo … Read More

A practical mathematics of optimal bluff, in poker as in real life

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(Second part. First part here: https://www.telework.ro/en/poker-bluff/. Image: World Series of Poker celebrity poker tournament – Rio Casino, Las Vegas, https://www.flickr.com/photos/kalooz/3724732892) Neutral point of bluff Alice may decide to penalize a possible bluff (with a frequency α), and Bob may have decided … Read More

The game play in five-card draw poker

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The dealer deals the cards one by one, in principle, in the sense of clockwise. It begins with his left, and he takes last. When each player received five cards, all can pick them up and take note. So start … Read More

Pot-limit Omaha

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(The worst hand in Omaha, https://commons.wikimedia.org/wiki/File:Poker_Omaha_Beispielhand3.jpg) Pot-limit Omaha (abbreviated PLO) is popular in Europe in online casinos, as well as high limits “mixed game” in some American casinos. It is played most often in high only, but can also be … Read More

Taking advantage of the poker hand

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For a perfectly rational theoretical player (without bluffing, but very naive), the level of the bet and raise reflects directly the value of the hand. Indeed, the player feels a certain probability α when he holds the strongest hand at … Read More

World Series of Poker

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The World Series of Poker, commonly abbreviated as the acronym WSOP, are the world championships of poker. They are held every year since 1970 in Las Vegas. During the WSOP, several tournaments are played (68 in 2015). The entry price … Read More

Poker strategy tips

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To maximize the chances of winning a poker player chooses a strategy game. The selection of starting hands by choosing which hands to play in preflop with the given chips. Referring to the theory of David Sklansky, author of a … Read More

Mathematical calculation of poker probability in Draw Poker

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We can calculate the probability of each type of hand of 5-card in poker. Basis of calculation and notations The calculation of the probabilities of the various possible hands is mainly through the calculations of combinations. Remember that we note … Read More

World Poker Tour

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World Poker Tour (WPT) is a series of poker tournaments. World Poker Tour is part of the company WPT Enterprises, Inc. which was founded by Steve Lipscomb. The first season to be broadcasted in the US is that of 2003. … Read More

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