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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Poker probability ： ウィキペディア英語版 Poker probability In poker, the probability of each type of 5-card hand can be computed by calculating the proportion of hands of that type among all possible hands. ==Frequency of 5-card poker hands== The following chart enumerates the (absolute) frequency of each hand, given all combinations of 5 cards randomly drawn from a full deck of 52 without replacement. Wild cards are not considered. In this chart: *"Distinct Hands" is the number of different ways to draw the hand, not counting different suits. *"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; $\backslash ,\; \backslash begin\; =\; 2,598,960\; \backslash end$). For example, there are 4 different ways to draw a Royal flush (one for each suit), so the probability is , or about one in 649,740, that's 0.00015390771693%. *The "Cumulative probability" refers to the probability of drawing a hand as good as ''or better than'' the specified one. For example, the probability of drawing ''three of a kind'' is approximately 2.11%, while the probability of drawing a hand ''at least'' as good as three of a kind is about 2.87%. The cumulative probability is determined by adding one hand's probability with the probabilities of all hands above it. *The odds are defined as the ratio of the number of ways ''not'' to draw the hand, to the number of ways to draw it. For instance, with a Royal flush, there are 4 ways to draw one, and 2,598,956 ways to draw something else (2,598,960 - 4), so the odds against drawing a Royal flush are 2,598,956 : 4, or 649,739 : 1. The formula for establishing the odds can also be stated as ''(1/p) - 1 : 1'', where ''p'' is the aforementioned probability. *The values given for "probability", "Cumulative probability", and "odds" are rounded off for simplicity; the "Distinct hands" and "Frequency" values are exact. The ''nCr'' function on most scientific calculators can be used to calculate hand frequencies; entering with and , for example, yields $\backslash begin\; =\; 2,598,960\; \backslash end$ as above. - |- | Four of a kind | 156 | 624 | 0.0240% | 0.0256% | 4,164 : 1 | $$ |- | Full house | 156 | 3,744 | 0.1441% | 0.17% | 693 : 1 | $$ |- | Flush (excluding royal flush and straight flush) | 1,277 | 5,108 | 0.1965% | 0.367% | 508 : 1 | $-$ |- | Straight (excluding royal flush and straight flush) | 10 | 10,200 | 0.3925% | 0.76% | 254 : 1 | $^5\; -$ |- | Three of a kind | 858 | 54,912 | 2.1128% | 2.87% | 46.3 : 1 | $^2$ |- | Two pair | 858 | 123,552 | 4.7539% | 7.62% | 20.0 : 1 | $^2$ |- | One pair | 2,860 | 1,098,240 | 42.2569% | 49.9% | 1.37 : 1 | $^3$ |- | No pair / High card | 1,277 | 1,302,540 | 50.1177% | 100% | 0.995 : 1 | The number of distinct poker hands is even smaller. For example, 3♣ 7♣ 8♣ Q♠ A♠ and 3♦ 7♣ 8♦ Q♥ A♥ are not identical hands when just ignoring suit assignments because one hand has three suits, while the other hand has only two—that difference could affect the relative value of each hand when there are more cards to come. However, even though the hands are not identical from that perspective, they still form equivalent poker hands because each hand is an A-Q-8-7-3 high card hand. There are 7,462 distinct poker hands. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Poker probability」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.