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Poker hand rankings

The ten categories in order, and how often each actually turns up in the seven cards you see in Texas Hold’em — counted, not estimated.

The ten hands, best first

Every hand in Texas Hold’em is the best five cards you can make out of your two and the five on the board. The list below is the order those five-card hands beat each other, strongest first, with the official name of each one.

Hand rankings and how often they happen

The "how often" column counts every one of the 133,784,560 ways seven cards can come out of a deck, which is what you see by the river in Hold’em.
HandExampleWhat it is How often in 7 cardsRoughly
1. Royal flushAof spadesKof spadesQof spadesJof spades10of spadesTen to ace, all of one suit.0.0032%1 in 30,900
2. Straight flush9of hearts8of hearts7of hearts6of hearts5of heartsFive cards in a row, all of one suit.0.0279%1 in 3,600
3. Four of a kind7of spades7of hearts7of diamonds7of clubsKof spadesAll four cards of one rank.0.17%1 in 595
4. Full houseJof spadesJof heartsJof diamonds4of spades4of heartsThree of one rank and two of another.2.6%1 in 39
5. FlushAof diamondsJof diamonds8of diamonds5of diamonds2of diamondsFive cards of one suit, in any order.3.0%1 in 33
6. Straight10of clubs9of diamonds8of spades7of hearts6of clubsFive cards in a row, suits mixed.4.6%1 in 22
7. Three of a kindQof spadesQof heartsQof diamonds9of clubs3of spadesThree cards of the same rank.4.8%1 in 21
8. Two pairKof spadesKof hearts6of diamonds6of clubs2of spadesTwo cards of one rank and two of another.23.5%1 in 4.3
9. One pair5of spades5of heartsAof diamondsJof clubs7of spadesTwo cards of the same rank.43.8%1 in 2.3
10. High cardAof spadesJof diamonds9of hearts6of clubs3of spadesNone of the above; the highest card decides.17.4%1 in 5.7

Why these numbers surprise people

Most rankings tables count five-card hands dealt straight from the deck. Hold’em does not work that way: you pick the best five out of seven, so everything happens far more often. Three of a kind shows up in 2.1% of five-card hands but 4.8% of seven-card hands. A flush goes from 0.2% to 3.0%, a full house from 0.1% to 2.6%.

That is also why one pair is not a strong hand in Hold’em even though it looks like one on the list. 43.8% of seven-card hands are exactly one pair and another 23.5% are two pair, so at a full table somebody usually has better.

When two players have the same hand

The category is compared first, then the ranks inside it. Two players with a pair of kings are separated by their next-highest card, the kicker, then the one after that. If all five cards are equal in rank the pot is split, and that happens more often than people expect: when the best five cards are the five on the board, everybody still in the hand shares the pot.

Deal a hand and see what each player has

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