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
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