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Ace high straight flush : ウィキペディア英語版
List of poker hands

In poker, players construct hands of playing cards according to predetermined rules, which vary according to which variant of poker is being played. These hands are compared using a hand ranking system that is standard across all variants of poker. The player with the highest-ranking hand wins that particular deal in most poker games. In some variants, the lowest-ranking hand can win or tie.
These hand rankings are also used in some other card games and in poker dice. The ranking of a particular hand is increased by including multiple cards of the same card rank, by all five cards being from the same suit, or by the five cards forming a consecutive series. The relative ranking of the various hand categories is based on the probability of being randomly dealt such a hand from a well-shuffled deck.
==General rules==
The following rules apply to the ranking of all poker hands unless specifically changed by game variant rules or house rules.
A poker hand consists of exactly five cards; no more, no fewer. In games where more than five cards are available to each player, the best five-card combination of those cards must be played. Any cards not included in the hand do not affect its ranking. For example, if player A holds and player B holds , and five cards are available to both players, the players hold equally ranking 3-4-5-6-7 straights despite the fact that the player B's ace ranks higher than the player A's queen.
Individual cards are ranked A (highest), K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2 (lowest). Aces can appear low (as if having a value of "1") when part of an A-2-3-4-5 straight or straight flush. In the poker variants ace-to-five and ace-to-six lowball, the ace only plays low, and only plays high in deuce-to-seven lowball. Individual card ranks are used to rank hands that are in the same rank category.
The suits of the cards are used to determine whether a hand forms a flush or straight flush. In most variants, suits do not have an associated value, and play no part in determining the ranking of a hand. Sometimes a ranking called high card by suit is used for randomly selecting a player to deal. ''Low'' card by suit usually determines the bring-in bettor in stud games.
Hands are ranked first by category, then by individual card ranks; even the lowest hand that qualifies in a certain category defeats all hands in all lower categories. For example, , the lowest-valued two pair hand, defeats all hands with just one pair or high card (such as ). Only between two hands in the same category are card ranks used to break ties.
A poker hand has the same hand ranking regardless of the order in which it is arranged by the deal, by a description, or by a picture. So a hand arranged as is ranked the same as even though in the first hand the three of a kind is not necessarily immediately obvious.
If there are multiple hands of the same rank at the showdown (therefore no kicker(s), or kickers have equal ranks), the pot is divided equally between the winning players. If the divided number creates fractions (odd chip), the odd chip is awarded by house rules. Typically, in draw and community card games, this award is to the winning first hand clockwise from the button/dealer; in stud games it is to the player with highest card by suit in hand.
There are 311,875,200 ways (5-permutations)〔In general, the number of ''k''-permutations taken from a set of ''n'' is
:n^ = \frac ,
which in this case gives

\frac = \frac = 52\times51\times50\times49\times48 = 311,875,200

〕 of being dealt five cards from a 52-card deck, but since the order of cards does not matter, there are 5! = 120 5-permutations given in any one hand, so there are only 2,598,960 (\begin \end) possible combinations in five-card poker. Similarly, in seven-card poker there are 133,784,560 (\begin \end) combinations.〔
= \frac = \frac = \frac = 2598960
;


= \frac = \frac = \frac = 133784560

If the game is played without the high card by suit rule, hands that have equivalent values are considered to be the same hand, there will be 7,462 distinct hands in five-card poker, and 4,824 distinct hands when choosing the best five in seven-card poker, like Texas hold 'em; the number of seven-card poker hands is fewer than of five-card poker because some hands are impossible with seven cards (e.g. 7-high).

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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