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Poker calculator. Poker calculators are algorithms which through probabilistic or statistical means derive a player's chance of winning, losing, or tying a poker hand. [1] [2] Given the complexities of poker and the constantly changing rules, most poker calculators are statistical machines, probabilities and card counting is rarely used.
Frequency is the number of ways to draw the hand, including the same card values in different suits. The Probability of drawing a given hand is calculated by dividing the number of ways of drawing the hand ( Frequency) by the total number of 5-card hands (the sample space; ( 52 5 ) = 2 , 598 , 960 {\textstyle {52 \choose 5}=2,598,960}
The mathematics of gambling is a collection of probability applications encountered in games of chance and can get included in game theory.From a mathematical point of view, the games of chance are experiments generating various types of aleatory events, and it is possible to calculate by using the properties of probability on a finite space of possibilities.
The card game of poker has many variations, most of which were created in the United States in the mid-1800s through the early 1900s. The standard order of play applies to most of these games, but to fully specify a poker game requires details about which hand values are used, the number of betting rounds, and exactly what cards are dealt and what other actions are taken between rounds.
Texas hold 'em is often associated with poker tournaments largely because it is played as the main event in many of the famous tournaments, including the World Series of Poker's Main Event, and is the most common tournament overall. [54] Traditionally, a poker tournament is played with chips that represent a player's stake in the tournament ...
Algorithm. The algorithm is a numerical approach to quantify the strength of a poker hand where its result expresses the strength of a particular hand in percentile (i.e. ranging from 0 to 1), compared to all other possible hands. The underlying assumption is that an Effective Hand Strength (EHS) is composed of the current Hand Strength (HS ...
Independent Chip Model. In poker, the Independent Chip Model (ICM), also known as the Malmuth–Harville method, [ 1] is a mathematical model that approximates a player's overall equity in an incomplete tournament. David Harville first developed the model in a 1973 paper on horse racing; [ 2] in 1987, Mason Malmuth independently rediscovered it ...
Inverse-variance weighting. In statistics, inverse-variance weighting is a method of aggregating two or more random variables to minimize the variance of the weighted average. Each random variable is weighted in inverse proportion to its variance (i.e., proportional to its precision ). Given a sequence of independent observations yi with ...