Poker probability The "nCr" function on most scientific calculators can be used to calculate hand frequencies; entering with and , for example, yields formula_2 as above. The royal flush is a case of the straight flush. It can be formed 4 ways (one for each suit), giving it a probability of 0.000154% and odds of 649,739 : 1. When ace-low straights and ace-low straight flushes are not counted, the probabilities of each are reduced: straights and straight flushes each become 9/10 as common as they otherwise would be. The 4 missed straight flushes become flushes and the 1,020 missed straights become no
Non-standard poker hand poker hands are in "italics"): 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 full houses more common. "Cats" (or "tigers") and "dogs" are types of no-pair hands defined by their highest and lowest cards. The remaining three cards