Poker probability frequencies are calculated in a manner similar to that shown for 5-card hands, except additional complications arise due to the extra two cards in the 7-card poker hand. The total number of distinct 7-card hands is formula_3. It is notable that the probability of a no-pair hand is "less" than the probability of a one-pair or two-pair hand. The Ace-high straight flush or royal flush is slightly more frequent (4324) than the lower straight flushes (4140 each) because the remaining two cards can have any value; a King-high straight flush, for example, cannot have the Ace of its suit in
Non-standard poker hand Non-standard poker hand Non-standard poker hands are hands which are not recognized by official poker rules but are made by house rules. Non-standard hands usually appear in games using wild cards or bugs. Other terms for nonstandard hands are special hands or freak hands. Because the hands are defined by house rules, the composition and ranking of these hands is subject to variation. Any player participating in a game with non-standard hands should be sure to determine the exact rules of the game before play begins. The usual hierarchy of poker hands from highest to lowest runs as follows (standard