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
Twenty-Five (solitaire) it in a certain position (after which the deck is shuffled). The 2 itself is discarded. When the square is finished, the game is won if every row and column is one of the following hands: Another way to think about this is that every row and column must be a poker hand better than a pair. Note that in this game a straight flush is no better than a straight or a flush and that a full house or a four of a kind is no better than a two pair or a three of a kind. An example