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There are many poker variants, but unless otherwise specified in the rules of the variant being played, hands are evaluated using the traditional set of five-card hands. These are, from worst to best:
These hands are called the traditional hands or high hands.
The probability distribution of the various hands for a 5-card game without wild cards and playing Ace high only is as follows:
| Hand | Probability | Distribution | |
|---|---|---|---|
| No pair | 1,303,560 in 2,598,960 | 50 | .16% |
| One pair | 1,098,240 in 2,598,960 | 42 | .26% |
| Two pair | 123,552 in 2,598,960 | 4 | .75% |
| Three of a kind | 54,912 in 2,598,960 | 2 | .11% |
| Straight | 9,180 in 2,598,960 | 0 | .353% |
| Flush | 5,112 in 2,598,960 | 0 | .197% |
| Full house | 3,744 in 2,598,960 | 0 | .144% |
| Four of a kind | 624 in 2,598,960 | 0 | .0240% |
| Straight flush (excluding Royal flush) | 32 in 2,598,960 | 0 | .00123% |
| Royal straight flush | 4 in 2,598,960 | 0 | .000154% |
| TOTAL | 2,598,960 in 2,598,960 | 100 | .00% |
If Ace is played low as well as high, then the probabilities of the following hands change:
| Hand | Probability | Distribution | |
|---|---|---|---|
| No pair | 1,302,540 in 2,598,960 | 50 | .12% |
| Straight | 10,200 in 2,598,960 | 0 | .392% |
| Flush | 5,108 in 2,598,960 | 0 | .197% |
| Straight flush (excluding Royal flush) | 36 in 2,598,960 | 0 | .00139% |
The number 2,598,960 is the number of total hands that can be dealt in poker, excluding permutations of the same hand. It is equivalent to 52C5 or .
Some games called lowball or low poker are played where players strive not for the highest ranking of the above combinations but for the lowest ranking hand. There are three methods of ranking low hands, called Ace-to-five low, Deuce-to-seven low, and Ace-to-six low. The ace-to-five method is most common.
Certain variants use hands of only three cards, either high or low. Three-card low hands can be ranked by any of the three methods above, although with three cards they become ace-to-three (rather than ace-to-five), deuce-to-five, and ace-to-four. The ace-to-three method is the most common, just as the ace-to-five method is most common method for five cards. Three-card high hands are ranked in one of two ways: either with or without straights and flushes. Without (which is the most common, and used such games as Chinese poker ), the hands are simply no pair, one pair, and three of a kind. If you add straights and flushes, the order of hands should be changed to reflect the correct probabilities: no pair, one pair, flush, straight, three of a kind, straight flush. This order is used, for example, in Mambo stud .
Some poker games are played with a deck that has been stripped of certain cards, usually low-ranking ones. For example, the Australian game of Manila uses a 32-card deck in which all cards below the rank of 7 are removed, and Mexican stud removes the 8s, 9s, and 10s. In both of these games, a flush ranks above a full house, because having fewer cards of each suit available makes flushes rarer.
Some games add one or more unconventional hands, or have special exceptions to the rules above. For example, in the game of Pai gow poker as played in Nevada, a Wheel (poker) (5-4-3-2-A) ranks above a king-high straight, but below an ace-high straight. This is not the case in California, where the nearly identical game is played under the name Double-hand poker using traditional hand values.