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
Pai gow poker hand. The only two-card hands are one pair and high cards. Five-card hands use standard poker hand rankings with one exception: in most casinos, the "wheel" (the hand A-2-3-4-5) is the second-highest straight. At most casinos in California and Michigan this rule doesn't apply, and A-2-3-4-5 is the lowest possible straight. The joker plays as a bug, that is, in the five-card hand it can be used to complete a straight or flush if possible; otherwise it is an ace. In the two-card hand it always plays as an ace, except in several southern Californian casinos where the joker is