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
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