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Poker Calculator
Poker calculators are algorithms which through Poker probability, probabilistic or statistical means derive a player's chance of winning, losing, or tying a poker hand. Given the complexities of poker and the constantly changing rules, most poker calculators are statistical machines, probabilities and card counting is rarely used. Poker calculators come in three types: poker advantage calculators, poker odds calculators and poker relative calculators. Odds calculators A poker odds calculator calculates a player's winning ratio. Winning ratio is defined as, the number of games won divided by the total number of games simulated in a Monte Carlo method, Monte Carlo simulation for a specific player. Advantage calculators A poker advantage calculator calculates a player's winning ratio and Normalization (statistics), normalizes the winning ratio relative to the number of players. An advantage calculator, provides a normalized value between -100% and +100% describing a player's winning c ...
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Poker Probability
In poker, the probability of each type of 5-card poker hand, hand can be computed by calculating the proportion of hands of that type among all possible hands. History Probability and gambling have been ideas since long before the invention of poker. The development of probability theory in the late 1400s was attributed to gambling; when playing a game with high stakes, players wanted to know what the chance of winning would be. In 1494, Fra Luca Pacioli released his work which was the first written text on probability. Motivated by Pacioli's work, Girolamo Cardano (1501-1576) made further developments in probability theory. His work from 1550, titled ''Liber de Ludo Aleae'', discussed the concepts of probability and how they were directly related to gambling. However, his work did not receive any immediate recognition since it was not published until after his death. Blaise Pascal (1623-1662) also contributed to probability theory. His friend, Chevalier de Méré, was an avid ga ...
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Poker
Poker is a family of Card game#Comparing games, comparing card games in which Card player, players betting (poker), wager over which poker hand, hand is best according to that specific game's rules. It is played worldwide, with varying rules in different places. While the earliest known form of the game was played with just 20 cards, today it is usually played with a standard 52-card deck, although in countries where short packs are common, it may be played with 32, 40 or 48 cards.Parlett (2008), pp. 568–570. Thus poker games vary in deck configuration, the number of cards in play, the number Poker dealer, dealt face up or face down and the number Community card poker, shared by all players, but all have rules that involve one or more rounds of Betting in poker, betting. In most modern poker games, the first round of betting begins with one or more of the players making some form of a forced bet (the ''blind (poker), blind'' or ''ante''). In standard poker, each player bets a ...
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Odds
In probability theory, odds provide a measure of the probability of a particular outcome. Odds are commonly used in gambling and statistics. For example for an event that is 40% probable, one could say that the odds are or When gambling, odds are often given as the ratio of the possible net profit ''to'' the possible net loss. However in many situations, you pay the possible loss ("stake" or "wager") up front and, if you win, you are paid the net win plus you also get your stake returned. So wagering 2 at , pays out , which is called When Moneyline odds are quoted as a positive number , it means that a wager pays When Moneyline odds are quoted as a negative number , it means that a wager pays Odds have a simple relationship with probability. When probability is expressed as a number between 0 and 1, the relationships between probability and odds are as follows. Note that if probability is to be expressed as a percentage these probability values should be multiplied ...
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Monte Carlo Method
Monte Carlo methods, or Monte Carlo experiments, are a broad class of computational algorithms that rely on repeated random sampling to obtain numerical results. The underlying concept is to use randomness to solve problems that might be deterministic in principle. The name comes from the Monte Carlo Casino in Monaco, where the primary developer of the method, mathematician Stanisław Ulam, was inspired by his uncle's gambling habits. Monte Carlo methods are mainly used in three distinct problem classes: optimization, numerical integration, and generating draws from a probability distribution. They can also be used to model phenomena with significant uncertainty in inputs, such as calculating the risk of a nuclear power plant failure. Monte Carlo methods are often implemented using computer simulations, and they can provide approximate solutions to problems that are otherwise intractable or too complex to analyze mathematically. Monte Carlo methods are widely used in va ...
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Normalization (statistics)
In statistics and applications of statistics, normalization can have a range of meanings. In the simplest cases, normalization of ratings means adjusting values measured on different scales to a notionally common scale, often prior to averaging. In more complicated cases, normalization may refer to more sophisticated adjustments where the intention is to bring the entire probability distributions of adjusted values into alignment. In the case of normalization of scores in educational assessment, there may be an intention to align distributions to a normal distribution. A different approach to normalization of probability distributions is quantile normalization, where the quantiles of the different measures are brought into alignment. In another usage in statistics, normalization refers to the creation of shifted and scaled versions of statistics, where the intention is that these normalized values allow the comparison of corresponding normalized values for different datasets in ...
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Poker Tournament
A poker tournament is a tournament where players compete by playing poker. It can feature as few as two players playing on a single table (called a " heads-up" tournament), and as many as tens of thousands of players playing on thousands of tables. The winner of the tournament is usually the person who wins every poker chip in the game and the others are awarded places based on the time of their elimination. To facilitate this, in most tournaments, blinds rise over the duration of the tournament. Unlike in a ring game (or cash game), a player's chips in a tournament cannot be cashed out for money and serve only to determine the player's placing. Buy-ins and prizes To enter a typical tournament, a player pays a fixed ''buy-in'' and at the start of play is given a certain quantity of tournament poker chips. Commercial venues may also charge a separate fee, or withhold a small portion of the buy-in, as the cost of running the event. Tournament chips have only notional value; they ...
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Poker Tools
Poker tools are a variety of software or web-based applications that allow the statistical analysis of poker players, games or tournaments. Hand converters Poker hand converters allow players to take text-based online poker hand history files from online cardrooms and convert them into formats friendly to the eye and suitable for posting on online message boards. Hand converters are often used to show played hands to other players for analysis and discussion. Depending on the converter used, the output may include the pot size per betting round, blind level, seating order, and stack sizes. Most online cardrooms store played hands on the computer of the player, allowing players to analyze and track their own performance or to discuss poker strategy with other players. Statistics a player can track include showdown percentage, frequency of aggression, percentage of check/raise etc. Most major poker sites such as Full Tilt Poker, PokerStars and PartyPoker provide players with hand ...
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List Of Poker Related Topics
The following outline is provided as an overview of and topical guide to poker: Poker – family of card games that share betting rules and usually (but not always) hand rankings. Poker games differ in how the cards are dealt, how hands may be formed, whether the high or low hand wins the pot in a showdown (in some games, the pot is split between the high and low hands), limits on bet sizes, and how many rounds of betting are allowed. Nature of poker Poker can be described as all of the following: * Game – structured playing, usually undertaken for enjoyment and sometimes used as an educational tool. Games are distinct from work, which is usually carried out for remuneration, and from art, which is more often an expression of aesthetic or ideological elements. However, the distinction is not clear-cut, and many games are also considered to be work (such as professional players of spectator sports/games) or art (such as jigsaw puzzles or games involving an artis ...
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Game Complexity
Combinatorial game theory measures game complexity in several ways: #State-space complexity (the number of legal game positions from the initial position) #Game tree size (total number of possible games) #Decision complexity (number of leaf nodes in the smallest decision tree for initial position) #Game-tree complexity (number of leaf nodes in the smallest full-width decision tree for initial position) #Computational complexity (asymptotic difficulty of a game as it grows arbitrarily large) These measures involve understanding the game positions, possible outcomes, and Computational complexity theory, computational complexity of various game scenarios. Measures of game complexity State-space complexity The ''state-space complexity'' of a game is the number of legal game positions reachable from the initial position of the game. When this is too hard to calculate, an upper bound can often be computed by also counting (some) illegal positions (positions that can never arise i ...
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