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
Open-ended (poker) also used for straight flush draws. 2♥ 3♥ 4♥ 5♥ is a straight-flush draw, since A♥ and 6♥ will create straight flushes. Such hands are optimal drawing hands, since the player has up to fifteen outs (nine cards remaining in the suit, six cards which complete the straight but not the flush). Open-ended (poker) Open-ended refers to a situation in poker where the player has four of five cards needed for a straight that can be completed at either end. For example, a player with 3♥ 4♥ 5♣ 6♠ is open-ended, because a deuce or a seven would give the