Re-raise in poker bluff
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Another way to see the bluff is that it reflects the principle: you have to pay to see a strong hand. Applying this principle, facing the raise of Bob, Alice must raise to pay Bob’s Full – and therefore, should … 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

A practical mathematics of optimal bluff, in poker as in real life
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(Second part. First part here: https://www.setthings.com/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

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

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

Mathematical expectation gain at poker
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This article details the mathematical relationships between leveling and expected gain in the case of poker. Mathematical expectation Law of large numbers Poker is a game involving chance, and where financial gains depend on the skill at the game, the … Read More

Poker bluff
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Bluffing is a technique of playing the game as if it was a different game hand than actually held. There are two types of bluffs: The psychological bluff played on a particular shot. By playing a line of irrational game, … Read More

Poker strategy
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Game modes High, low and high/low There are three ways to compare the players’ hands. These modes must be enabled and known by the players before the game begins. These three modes describe how players’ hands will be compared, there … Read More

Poker game algorithm
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(A diagram of the game of Poker Solitaire, based on an actual layout) The poker game (at least most variants) has a complexity beyond the reach of computers. However, methods are developed to approximate the perfect strategy (in terms of … Read More

Head-up display (HUD) in poker
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In poker, a head-up display, or HUD, is a tool to get information about the other players present on a table and on his own game. Utility The system is used by professionals and increasingly by amateur, HUDs dedicated to … Read More

Poker collusion
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A frequent kind of cheating is with a companion or several partners, that is referred to as collusion. Collusion is two or much more players acting having a secret, widespread method. Some widespread types of collusion are soft play, that … Read More

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