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
Draw poker pot with less than three of a kind. In the event no one makes the winning requirement, the pot is moved on to the next hand. The strongest possible hand in this game is five aces which is achieved if the player obtains the four aces plus the joker (joker counts as an ace if there's neither a straight nor a flush to complete). This can result in some enormous pots, and is where the term 'Jackpot' comes from. The game is named after the city of Gardena, California, where this game was especially popular from the 1930s to 1970s