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
Games related to Yahtzee one's personal cup. These would be the player's personal dice. Then five "community" dice are chosen, then rolled much like same way as the cards in Texas Hold 'em poker. Players try to make the best five-dice "hand" out of the seven community and personal dice. Combinations used in this game, ordered here from weakest to strongest, are: Two Pair, Three-of-a-Kind, Full House, Straight (five-dice sequence), Four-of-a-Kind, Flush, regular Yahtzee (a Yahtzee of differently colored dice), Straight Flush, and Yahtzee Flush (a Yahtzee of the same color). The game Last Chance, which started marketing in 1994, is a combination of