smaller. For example, 3♣ 7♣ 8♣ Q♠ A♠ and 3♦ 7♣ 8♦ Q♥ A♥ are not identical hands when just ignoring suit assignments because one hand has three suits, while the other hand has only two—that difference could affect the relative value of each hand when there are more cards to come. However, even though the hands are not identical from that perspective, they still form equivalent poker hands because each hand is an A-Q-8-7-3 high card hand. There are 7,462 distinct poker hands. 7-card poker hands In some popular variations of poker such as Texas hold 'em, the most widespread poker variant overall′, a player uses the best five-card poker hand out of seven cards. The 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 . It is notable that the probability of a no-pair hand is lower 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 the hand (as that would make it ace-high instead). {| class="wikitable" style="font-size: 95%; text-align:center;" |- !Hand !! Frequency !! Probability !! Cumulative !! Odds against !Mathematical expression of absolute frequency |- |Royal flush |align=center| 4,324 || 0.0032% || 0.0032% ||align=center| 30,939 : 1 | |- |Straight flush (excluding royal flush) |align=center| 37,260 || 0.0279% || 0.0311% ||align=center| 3,589.6 : 1 | |- |Four of a kind |align=center| 224,848 || 0.168% || 0.199% ||align=center| 594 : 1 | |- |Full house |align=center| 3,473,184 || 2.60% || 2.80% ||align=center| 37.5 : 1 | |- |Flush (excluding royal flush and straight flush) |align=center| 4,047,644 || 3.03% || 5.82% ||align=center| 32.1 : 1 | |- |Straight (excluding royal flush and straight flush) |align=center| 6,180,020 || 4.62% || 10.4% ||align=center| 20.6 : 1 | |- |Three of a kind |align=center| 6,461,620 || 4.83% || 15.3% ||align=center| 19.7 : 1 | |- |Two pair |align=center| 31,433,400 || 23.5% || 38.8% ||align=center| 3.26 : 1 | |- |One pair |align=center| 58,627,800 || 43.8% || 82.6% ||align=center| 1.28 : 1 | |- |No pair / High card |align=center| 23,294,460 || 17.4%