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
Four flush Four flush A four flush (also flush draw) is a poker hand that is one card short of being a full flush. Four flushing refers to empty boasting or unsuccessful bluffing, and a four flusher is a person who makes empty boasts or bluffs when holding a four flush. Four flusher can also refer to a welcher, piker, or braggart. This pejorative term originated in the 19th century when bluffing poker players misrepresented that they had a flush—a poker hand with five cards all of one suit—when they only had four cards of one suit. Optimal strategies for bluffing or