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HAND RANKINGSEXACT5 / 6 / 7 CARDS

Poker hand rankings and how often each one comes up

82.6%
pair or better from seven cards
5.82%
flush or better from seven cards

There are ten hand ranks, ordered so that the rarer hand wins. Every probability below is an exact count over all five-, six- and seven-card combinations (2,598,960, 20,358,520 and 133,784,560 of them). In Hold'em your two cards plus the flop make five, the turn makes six and the river seven, and you play the best five.

At the flop (five cards) 50.1% of hands have nothing, but by the river only 17.4% do, and the most common result is one pair (43.8%). With seven cards a straight (4.62%) is almost as common as three of a kind (4.83%), but the ranking is the five-card one and does not change.

Strongest first

The ten hands, and how ties are broken

When two players make the same hand, compare as in the last column; if all five cards match, the pot is split.

#HandExampleWhat it isTie-break
1Royal flushA♠ K♠ Q♠ J♠ T♠A, K, Q, J, T of one suitSuits have no rank, so two royals split
2Straight flush9♥ 8♥ 7♥ 6♥ 5♥Five in a row, all one suitHighest top card wins
3Four of a kindQ♠ Q♥ Q♦ Q♣ 7♠Four cards of one rankRank of the four, then the kicker
4Full house8♠ 8♥ 8♦ K♣ K♠Three of a kind plus a pairRank of the three, then of the pair
5FlushA♦ J♦ 8♦ 6♦ 2♦Five cards of one suitCompare from the top card down
6StraightT♣ 9♦ 8♠ 7♥ 6♣Five in a row, any suits. A-2-3-4-5 counts, K-A-2 does notHighest top card; in A-2-3-4-5 the top card is the 5
7Three of a kind7♠ 7♥ 7♦ K♣ 2♠Three cards of one rankRank of the three, then two kickers
8Two pairJ♠ J♥ 4♦ 4♣ A♠Two different pairsTop pair, then bottom pair, then kicker
9One pairT♠ T♥ A♦ 8♣ 3♠Two cards of one rankRank of the pair, then three kickers
10High cardA♠ Q♦ 9♥ 5♣ 3♠None of the aboveCompare from the top card down
Frequencies

Chance that each hand is your best hand on the flop, turn and river

"Flop" is your two cards plus three on board; "river" is all seven. Hands made by the board alone are included.

HandFlop (5 cards)Turn (6 cards)River (7 cards)River countAt the river
Royal flush0.0002%0.0009%0.0032%4,3241 in 30,940
Straight flush0.0014%0.0081%0.0279%37,2601 in 3,591
Four of a kind0.0240%0.0720%0.168%224,8481 in 595
Full house0.144%0.815%2.60%3,473,1841 in 38.5
Flush0.197%1.01%3.03%4,047,6441 in 33.1
Straight0.392%1.78%4.62%6,180,0201 in 21.6
Three of a kind2.11%3.60%4.83%6,461,6201 in 20.7
Two pair4.75%12.4%23.5%31,433,4001 in 4.3
One pair42.3%47.8%43.8%58,627,8001 in 2.3
High card50.1%32.5%17.4%23,294,4601 in 5.7

Totals: 2,598,960 five-card, 20,358,520 six-card and 133,784,560 seven-card combinations. Odds for a specific kind of starting hand are on the probability page and each hand page.

Common mix-ups

Four things beginners get wrong

  1. Only five of the seven cards play. A sixth card is never a kicker.
  2. The ace plays high or low (A-K-Q-J-T and A-2-3-4-5), but straights never wrap around, so K-A-2-3-4 is nothing.
  3. If the board already has two pair, a third pair in your hand still leaves you with two pair — the top two play.
  4. Flushes are compared from the top card down. Suits carry no rank.

FAQ

What is the best hand in poker?

A royal flush — A, K, Q, J, T of one suit. From the seven cards available in Hold'em it comes up 0.0032% of the time, once every 30,940 deals.

Does a flush beat a straight?

Yes. From seven cards a flush comes up 3.03% of the time and a straight 4.62%; the rarer hand ranks higher. A full house beats both and appears 2.60% of the time.

Are some suits stronger than others?

Not in Texas Hold'em. Identical hands split the pot. Suit rankings belong to other games or house rules.

How often do you make at least a pair by the river?

82.6% of seven-card hands are a pair or better; only 17.4% are high card. One pair is the most common (43.8%), then two pair (23.5%). These include hands made entirely by the board, so they are not the odds of holding a hand nobody else shares.