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What is a Poker Odds Calculator?

Whether you are a beginner or an experienced veteran, a poker odds calculator can be a valuable tool for poker players. It can help you make more informed decisions during a hand by calculating the odds of various outcomes.

So, if you've ever been playing on your favorite online poker site and given (or even taken) a bad beat and wondered, "What are the odds?", our state-of-the-art Poker Odds Calculator will help you figure out just that. The Poker Odds Calculator will help you calculate your chances on a given hand, in any situation.

How does the Poker Odds Calculator work?

Poker odds calculators typically use algorithms and pre-defined probabilities to estimate the likelihood of certain events occurring in a poker hand. The odds calculator, and the math that goes behind it, can analyze the current state of the game, your hand, and the potential opponent's hands to provide you with odds and recommendations.

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In poker, players form sets of five playing cards, called hands, according to the rules of the game.[1] Each hand has a rank, which is compared against the ranks of other hands participating in the showdown to decide who wins the pot.[2] In high games, like Texas hold 'em and seven-card stud, the highest-ranking hands win. In low games, like razz, the lowest-ranking hands win. In high-low split games, both the highest-ranking and lowest-ranking hands win, though different rules are used to rank the high and low hands.[3][4]

Each hand belongs to a category determined by the patterns formed by its cards. A hand in a higher-ranking category always ranks higher than a hand in a lower-ranking category. A hand is ranked within its category using the ranks of its cards. Individual cards are ranked, from highest to lowest: A, K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3 and 2.[5] However, aces have the highest rank under ace-to-five high or six-to-ace low rules, or under high rules as part of a five-high straight or straight flush.[6][7] Suits are not ranked, so hands that differ by suit alone are of equal rank.[8]

There are nine categories of hand when using a standard 52-card deck, except under ace-to-five low rules where straights, flushes and straight flushes are not recognized. An additional category, five of a kind, exists when using one or more wild cards. The fewer hands a category contains, the higher its rank.[9] There are 52 ! ( 52 − 5 ) ! = 311,875,200 {\displaystyle {\begin{matrix}{\frac {52!}{(52-5)!}}=311{,}875{,}200\end{matrix}}} ways to deal five cards from the deck but only 52 ! ( 52 − 5 ) ! 5 ! = 2,598,960 {\displaystyle {\begin{matrix}{\frac {52!}{(52-5)!5!}}=2{,}598{,}960\end{matrix}}} distinct hands, because the order in which cards are dealt or arranged in a hand does not matter.[10] Moreover, since hands differing only by suit are of equal rank, there are only 7,462 distinct hand ranks.[11]

Hand-ranking categories [ edit ]

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