Does Three of a Kind Beat Two Pair in Poker?

Three of a kind	Two pair
Three cards of one rank plus two unrelated cards: 7♠ 7♥ 7♦ K♣ 2♠	Two cards of one rank, two of another and one unrelated card: K♠ K♥ 8♦ 8♣ A♠
Seventh-best hand in standard poker	Eighth-best hand in standard poker
54,912 five-card hands (2.11%, about 1 in 47)	123,552 five-card hands (4.75%, about 1 in 21)
Best hand by the Hold’em river 4.83% of the time (1 in 21)	Best hand by the Hold’em river 23.5% of the time (1 in 4.3)
Best: A-A-A-K-Q; worst: 2-2-2-4-3	Best: A-A-K-K-Q; worst: 3-3-2-2-4
Two of the same three of a kind: compare the two kickers	Two two pairs: compare the top pair, then the second pair, then the one kicker
Beats two pair, one pair and high card	Beats one pair and high card
Loses to a straight and everything above it	Loses to three of a kind and everything above it
In Hold’em, called a “set” with a pocket pair and “trips” with one hole card	In Hold’em, often described by the pairs used: “top two pair,” “top and bottom,” “bottom two pair”

Exact counts over all 2,598,960 five-card and 133,784,560 seven-card hands, counting each hand by its best five cards. Calculated by TopSitesPoker.com.

New players ask this all the time, and the reason is easy to see: two pair is four matching cards and three of a kind only three, so two pair looks like the bigger hand. It isn’t. Poker ranks hands by how rare they are, and three of a kind is the rarer hand in every standard game. This guide explains why, with the counting laid out so you can check it. Then it goes further: how often each hand comes up in every game and on every street, how each is made in Hold’em, what the board tells you about which of the two anyone can hold, how sets do against two pair, how often two pair runs into three of a kind at tables of every size, and how to play both.

Every probability here was calculated by the TopSitesPoker.com editorial team, either exactly, by counting every possible combination of cards, or by large simulations where exact counting isn’t practical. The only exceptions are the video poker frequencies and the exact Omaha counts, which come from the Wizard of Odds. Each example was checked with a hand evaluator.

Why Three of a Kind Beats Two Pair

Poker hands are ranked by how hard they are to make in a five-card deal: the rarer the hand, the higher it ranks. Counting the two hands shows something neat. Both use exactly three different ranks, and there are the same number of ways to pick those ranks for each:

• Two pair: choose the two ranks that pair (C(13,2) = 78 ways) and a different rank for the kicker (11 ways): 858 rank patterns. Each pair can be any 2 of its 4 suits (6 ways) and the kicker any suit (4 ways), so 6 × 6 × 4 = 144 suit patterns. 858 × 144 = 123,552 two pairs.
• Three of a kind: choose the rank of the three (13 ways) and two different ranks for the kickers (C(12,2) = 66 ways): again 858 rank patterns. The three can be any 3 of 4 suits (4 ways) and each kicker any suit (4 × 4), so 4 × 4 × 4 = 64 suit patterns. 858 × 64 = 54,912 three of a kinds.

So the whole difference comes from suits. A pair can be dealt in six suit combinations, three of a kind in only four, and two pair needs two pairs. That makes two pair exactly 144 ÷ 64 = 2.25 times as common as three of a kind in a five-card deal, and three of a kind ranks higher. The ranks involved don’t matter: three deuces beat aces and kings.

Three of a kind ranks higher because it’s rarer in a five-card deal.

Seven cards widen the gap

Hand rankings are based on five-card deals, but in Hold’em and Stud you use the best five of seven cards. Extra cards help two pair far more than three of a kind, and the gap more than doubles:

Cards seen	Three of a kind as best hand	Two pair as best hand	Two pairs per three of a kind
5 (a five-card deal, or the Hold’em flop)	54,912 of 2,598,960 (2.11%)	123,552 (4.75%)	2.25
6 (the Hold’em turn)	732,160 of 20,358,520 (3.60%)	2,532,816 (12.4%)	3.46
7 (the Hold’em river, or Stud’s seventh street)	6,461,620 of 133,784,560 (4.83%)	31,433,400 (23.5%)	4.86

Exact counts by TopSitesPoker.com over every possible hand, counting each by its best five cards.

Why does the gap grow? With every extra card, the chance that something pairs goes up quickly, and two pair only needs two of those pairs. Three of a kind needs three cards of one rank, and it has a second problem: once a hand holds three of a kind, any extra pair turns it into a full house, which is no longer counted as three of a kind. Two pair has no such ceiling. A seven-card hand with three pairs still plays as two pair, the best two of them. With seven cards, you’ll finish with two pair almost five times as often as with three of a kind, and nearly one hand in four ends as two pair.

The same comparison in other games

Game	Three of a kind	Two pair	Two pairs per three of a kind
Five-card deal	2.11%	4.75%	2.25
Texas Hold’em or Seven Card Stud, by the river	4.83%	23.5%	4.86
Omaha, by the river	8.78%	36.8%	4.19
Short Deck, five cards (36-card deck)	4.28% (16,128 of 376,992)	9.63% (36,288)	2.25
Short Deck Hold’em, by the river	7.27%	37.8%	5.20
9/6 Jacks or Better video poker, final hands with optimal play	7.44%	12.9%	1.74

Exact counts by TopSitesPoker.com, except Omaha (exact counts published by the Wizard of Odds: 170,775,844,104 two pairs and 40,712,657,408 three of a kinds of 463,563,500,400 hands) and video poker (published figures from the Wizard of Odds). Short Deck Hold’em: 3,157,056 two pairs and 607,200 three of a kinds of 8,347,680 seven-card hands, with the straight ranked above three of a kind; under rules that rank three of a kind higher, 637,560 (7.64%).

Share of hands whose best hand is three of a kind or two pair, with every hand played to the end.

Two pair is the more common hand in every one of these games, usually by a wide margin. Video poker has the smallest gap because of how players draw: when you hold a single pair and draw three cards, you end with two pair only about 1.4 times as often as three of a kind (16.0% against 11.4%), a much smaller gap than in a five-card deal. Omaha narrows the gap a little compared with Hold’em, partly because about a third of Omaha starting hands (32.4%) contain a pocket pair, against 5.9% in Hold’em, and pocket pairs are how sets are made. Short Deck widens it: with only nine ranks, cards pair constantly, and by the river of Short Deck Hold’em, more than one hand in three is two pair.

Is the order ever in doubt?

For some neighboring hands, the case for the standard order is a close call. The straight and three of a kind, for example, come up almost equally often with seven cards, and some Short Deck rule sets swap them. Three of a kind and two pair are never close. Two facts settle it:

• The five-card ratio is fixed at 2.25. The rank patterns match whatever the size of the deck: with any number of ranks, there are as many ways to pick the ranks for two pair as for three of a kind. So in any deck with four suits, the suit patterns alone decide it, 144 against 64. Short Deck, with its 36 cards, gives exactly the same 2.25 as the full deck.
• No hand holds both. A hand with three of a kind and a separate pair is a full house. So unlike the straight and three of a kind, which can appear in the same seven cards, swapping the order of these two wouldn’t move a single hand from one count to the other. Two pair would still be 4.86 times as common in Hold’em.

Deck	Ways to pick the ranks, each hand	Three of a kinds (five cards)	Two pairs (five cards)	Ratio
Standard, 52 cards (13 ranks)	858	858 × 64 = 54,912	858 × 144 = 123,552	2.25
Short Deck, 36 cards (9 ranks)	252	252 × 64 = 16,128	252 × 144 = 36,288	2.25

With r ranks, both hands have r × (r − 1) × (r − 2) ÷ 2 rank patterns. Calculated by TopSitesPoker.com.

That’s why every standard game, and every Short Deck rule set we know of, puts three of a kind above two pair. When Short Deck rules move three of a kind above the straight, three of a kind moves up, not down, and two pair stays where it is. The games that reverse the order are lowball games, where the lowest hand wins and pairs count against you: two pair is a better low than three of a kind.

Where Three of a Kind and Two Pair Sit in the Rankings

Here’s the full order of poker hands. Each hand beats every hand below it and loses to every hand above it. Three of a kind and two pair sit next to each other in the lower half:

Rank	Hand	Example	Five-card hands	Seven-card hands (best five)
1	Royal flush	A♠ K♠ Q♠ J♠ 10♠	4	4,324
2	Straight flush	9♥ 8♥ 7♥ 6♥ 5♥	36	37,260
3	Four of a kind	Q♠ Q♥ Q♦ Q♣ 7♠	624	224,848
4	Full house	J♠ J♥ J♦ 4♣ 4♠	3,744	3,473,184
5	Flush	A♠ J♠ 8♠ 6♠ 3♠	5,108	4,047,644
6	Straight	9♠ 8♥ 7♦ 6♣ 5♠	10,200	6,180,020
7	Three of a kind	7♠ 7♥ 7♦ K♣ 2♠	54,912	6,461,620
8	Two pair	K♠ K♥ 8♦ 8♣ A♠	123,552	31,433,400
9	One pair	Q♠ Q♥ A♦ 9♣ 4♠	1,098,240	58,627,800
10	High card	A♠ J♦ 8♣ 6♥ 3♠	1,302,540	23,294,460

Exact over all 2,598,960 five-card and 133,784,560 seven-card hands. Seven-card counts are by the best five cards. Calculated by TopSitesPoker.com.

What beats three of a kind, and what two pair beats

• Three of a kind loses to a straight, a flush, a full house, four of a kind and a straight flush, as well as any higher three of a kind. It beats two pair and everything below.
• Two pair beats one pair and high card, plus any lower two pair. It loses to three of a kind and everything above.
• The step gets bigger with more cards. Two pair is 2.25 times as common as three of a kind in five cards. With seven cards, it’s the second most common best hand of all, behind only one pair, and 4.86 times as common as three of a kind.

Which Two Pairs and Which Three of a Kinds Come Up Most

Three of a kind is spread almost evenly across the ranks. Two pair isn’t, because it’s named after its higher pair, and a high pair has more lower pairs to go with it: aces up can be paired with any of 12 lower pairs, threes up only with deuces.

Rank	Two pair with this top pair, five cards	Two pair with this top pair, seven cards	Three of a kind of this rank, seven cards
Ace	15.4% (aces up)	16.0%	7.72%
King	14.1%	14.6%	7.72%
Queen	12.8%	13.1%	7.71%
Jack	11.5%	11.6%	7.69%
Ten	10.3%	10.2%	7.67%
Nine	9.0%	8.8%	7.67%
Eight	7.7%	7.5%	7.67%
Seven	6.4%	6.2%	7.67%
Six	5.1%	4.9%	7.67%
Five	3.8%	3.6%	7.67%
Four	2.6%	2.4%	7.69%
Three	1.3%	1.2%	7.71%
Two	None (deuces can only be the lower pair)	None	7.72%

Exact over all 123,552 five-card and 31,433,400 seven-card two pairs and all 6,461,620 seven-card three of a kinds, by the best five cards. In five-card deals, each rank of three of a kind makes up exactly 7.69%. Calculated by TopSitesPoker.com.

With seven cards, aces up is a little more common than in five, 16.0% against 15.4%. That’s the three-pair effect: when a seven-card hand holds three pairs, only the top two play, so the highest pairs get counted more often. Kickers follow the same pattern. The ace is the kicker in 21.9% of seven-card two pairs, because the kicker is simply the highest card left over.

For three of a kind, the small bump at aces and deuces comes from the straight. Three sevens sit in the middle of many possible straights, so with seven cards they’re a little more likely to be part of a straight, which then plays instead. Three aces and three deuces can each only be part of the few straights that use the ace or the deuce.

Can You Have Three of a Kind and Two Pair at Once?

No. If your cards hold three of a kind and also a pair of another rank, you have a full house, which beats both. Hold 9♣ 9♦ on a board of K♠ Q♣ 4♦ 4♠ 9♥, and you have three nines plus the board’s pair of fours: 9-9-9-4-4, nines full of fours. So three of a kind as a best hand always means the other cards are unpaired, and two pair as a best hand always means no rank appears three times.

With seven cards, every hand that holds three of a kind together with another pair plays as a full house, and there are a lot of them:

Seven-card holding	Hands	How it plays
Three of a kind, four unpaired cards	6,589,440	Three of a kind 98.1% of the time; a straight, flush or straight flush the rest
Three of a kind plus one pair	3,294,720	Full house
Three of a kind plus two pairs	123,552	Full house (the higher pair plays)
Two three of a kinds	54,912	Full house (the higher three plays, two of the lower three as the pair)
Two or three pairs, no three of a kind	32,123,520	Two pair 97.9% of the time; a straight, flush or straight flush the rest

Exact over all 133,784,560 seven-card hands; the rows cover every hand with three of a kind or two or more pairs and no four of a kind. Calculated by TopSitesPoker.com.

The bigger mix-up comes from three pairs. With seven cards, you can hold three different pairs, and you still have two pair: you play the two highest pairs and the best remaining card as the kicker. Of the 31,433,400 seven-card hands that end as two pair, 2,471,040, or 7.9%, hold three pairs. Six cards in three pairs look impressive, but they never make three of a kind. Pocket sixes on a board of A♠ A♥ 8♦ 8♣ Q♦ play A-A-8-8-Q, and the sixes don’t count at all.

Comparing Three of a Kinds, Two Pairs and the Two Against Each Other

• Three of a kind against two pair: three of a kind always wins in standard poker, whatever the ranks.
• Two pair against two pair: compare the higher pairs first; the higher pair wins. If they match, compare the lower pairs. If both pairs match, the one kicker decides, and if the kickers match too, the pot is split.
• Three of a kind against three of a kind: the higher three wins. If both have the same three, which in Hold’em needs the board’s help, the higher first kicker wins, then the second kicker, and if both match, the pot is split.

Hand categories are compared first; lowball games reverse the order.

Hand A	Hand B	Winner	Why
2♠ 2♥ 2♦ 4♣ 3♠ (the lowest three of a kind)	A♠ A♥ K♦ K♣ Q♠ (the highest two pair)	A	Any three of a kind beats any two pair
3♠ 3♥ 3♦ K♣ 2♠	A♦ A♣ Q♥ Q♠ K♥	A	Four cards of two pairs still lose to three matching cards
K♠ K♥ 8♦ 8♣ A♠	K♦ K♣ 7♥ 7♠ A♥	A	Same top pair; eights beat sevens as the second pair
A♠ A♥ 3♦ 3♣ 5♠	K♦ K♣ Q♥ Q♠ J♥	A	The top pair decides first: aces up beats kings up, whatever the second pair
Q♠ Q♥ J♦ J♣ 2♠	Q♦ Q♣ J♥ J♠ A♥	B	Both pairs match, so the kicker decides
7♠ 7♥ 7♦ A♣ K♠	6♠ 6♥ 6♦ 7♣ A♥	A	Two three of a kinds: the higher three wins, the kickers never come into it

Every comparison checked with a hand evaluator.

The first row is the one to remember: three deuces beat aces and kings. Hand categories are compared first, and ranks only matter between two hands of the same category. The fourth row is the most common two-pair misread. Players sometimes add up the pairs, but kings and queens don’t beat aces and threes; the top pair is compared first, and the ace wins.

How Each Hand Is Made in Hold’em

In Hold’em, you make your best five-card hand from your two hole cards and the five community cards. Both hands can be built in several ways, and the way a hand is built matters a great deal, because a hand that leans on the board is shared with everyone else at the table.

Three of a kind comes in three forms, and they split in an exact 1 : 4 : 2 ratio:

• A set: a pocket pair plus one matching board card. 1 in 7 of all Hold’em three of a kinds (14.3%).
• Trips: one hole card plus a pair on the board. 4 in 7 (57.1%).
• Three of a kind on the board: all three cards are community cards, shared by every player. 2 in 7 (28.6%).

Two pair comes in four forms, split in an exact 4 : 2 : 12 : 3 ratio:

• Both hole cards pair a board card, like K-9 on K-9-4: 4 in 21 (19.0%). This is the strongest kind, because each pair uses one of your cards.
• A pocket pair plus a pair on the board, like 7-7 on K-K-4: 2 in 21 (9.5%).
• One hole card pairs a board card, and the other pair is on the board, like K-Q on K-8-8: 12 in 21 (57.1%). This is by far the most common kind, and much weaker than it looks, because the board’s pair belongs to everyone.
• Both pairs on the board: 3 in 21 (14.3%). Every player at the table has at least this two pair, and the kicker decides.

Exact over all 2,809,475,760 combinations of two hole cards and five board cards.

Put those together and the picture is clear. Only 28.6% of Hold’em two pairs, the first two kinds, use both of your hole cards, and only 14.3% of three of a kinds are sets. The rest lean on the board, and a hand that leans on the board is a hand other players may share, or beat with a better kicker or a better card.

The board decides which hand is possible

The best way to see how the two hands are made is to sort every Hold’em deal by the board. The table covers all 2,809,475,760 combinations of two hole cards and five board cards:

Board by the river	Share of boards	Chance a player’s best hand is two pair	Chance it’s three of a kind	Share of all two pairs	Share of all three of a kinds
No pair	50.7%	8.13%	1.36%	17.5%	14.3%
One pair	42.3%	36.7%	6.53%	65.9%	57.1%
Two pair	4.75%	81.7%	None	16.5%	None
Three of a kind	2.11%	None	65.3%	None	28.6%
Full house or four of a kind	0.17%	None	None	None	None

Exact over every five-card board and every two-card hand from the remaining 47 cards. Calculated by TopSitesPoker.com.

Chance a player’s best hand is each, by the board on the river.

Each row has its own logic:

• No pair on the board. Two pair needs both of your hole cards to pair two different board cards, and three of a kind needs a pocket pair that matches a board card. A set is the only three of a kind possible here.
• One pair on the board. This is where most of both hands are made. Any hole card that pairs another board card gives you two pair, and so does any pocket pair that doesn’t match the board. A hole card that matches the board’s pair gives you trips.
• Two pair on the board. Everyone has at least two pair, and nobody’s best hand can be three of a kind. A hole card that matches either board pair makes three of a kind plus a pair, which is a full house, and a pocket pair that matches the fifth card does the same.
• Three of a kind on the board. Everyone has at least three of a kind, and nobody’s best hand can be two pair. A pocket pair or a hole card that pairs the other board cards makes a full house, and everyone else plays the board’s three of a kind with their best kickers.

Those last two rules are worth remembering at the table. On a board like K-K-9-9-5, nobody’s best hand is three of a kind: anyone holding a king or a nine has a full house. On a board like 8-8-8-K-5, nobody’s best hand is two pair: everybody has at least three eights.

How many hands beat each holding

Another way to see the gap is to count how many of an opponent’s 990 possible hands beat yours on a finished board. On a dry board, top two pair loses only to sets. On a paired board, the same kind of hand is in far more danger:

Board	Your hand	What you have	Hands that beat you (of 990)	Ties
K♠ 9♦ 4♣ 7♥ 2♠ (no straight or flush possible)	7♠ 7♦	Set of sevens	6 (the two higher sets)	0
K♠ 9♦ 4♣ 7♥ 2♠	K♦ 9♣	Top two pair	11 (all sets)	4
K♠ 9♦ 4♣ 7♥ 2♠	9♥ 4♦	Middle and bottom pair	47 (11 sets, 36 higher two pairs)	4
K♠ 9♦ 4♣ 7♥ 2♠	A♥ A♦	One pair (the overpair)	105 (15 sets, 90 two pairs)	1
8♠ 8♥ K♦ 5♣ 2♠	8♦ A♣	Trips with the best kicker	18 (all full houses)	3
8♠ 8♥ K♦ 5♣ 2♠	8♣ 3♥	Trips with a weak kicker	46 (18 full houses, 28 better trips)	7
8♠ 8♥ K♦ 5♣ 2♠	K♣ Q♦	Kings and eights	108 (70 trips, 23 full houses, 14 two pairs, 1 four of a kind)	6
8♠ 8♥ K♦ 5♣ 2♠	A♥ A♦	Aces and eights	96 (68 trips, 27 full houses, 1 four of a kind)	1
8♠ 8♥ K♦ 5♣ 2♠	5♥ 2♦	Eights and fives (three pairs; the deuces don’t play)	262	68
K♠ K♥ 9♦ 9♣ 5♠	A♥ 2♣	The board’s two pair with an ace kicker	194 (171 full houses, 2 four of a kinds, 21 higher two pairs)	114
K♠ K♥ 9♦ 9♣ 5♠	5♥ 5♦	Full house, fives full of kings	170 (168 higher full houses, 2 four of a kinds)	0

Exact over all 990 opponent hands from the remaining 45 cards. Calculated by TopSitesPoker.com.

Three rows stand out. Top two pair on a dry, unpaired board is a very strong hand: only 11 of 990 hands beat it, and every one of them is a set. Kings and eights on a paired board looks like the same kind of hand, but 108 hands beat it, and 70 of those are trips made with one of the two missing eights. And on the K-K-9-9-5 board, even a pocket pair that makes a full house isn’t safe: every king and every nine in an opponent’s hand makes a bigger full house. The 21 higher two pairs in the A-2 row are pocket aces, queens, jacks and tens: each makes three pairs with the board and plays the top two.

Which Starting Hands Make Each

Your two hole cards shape your chances of each hand. Pocket pairs are the only hands that can flop a set, and they’re also the best two-pair makers, because any pair on the board gives you two pair. Unpaired hands make two pair a little more than one time in five by the river, and three of a kind about one time in 23:

Starting hand	Two pair on the flop	Three of a kind on the flop	Two pair by the river	Three of a kind by the river
A♠ A♦ (or 2♠ 2♦)	16.2%	10.8%	39.7%	11.8%
10♠ 10♦	16.2%	10.8%	39.5%	11.7%
A♠ K♦	4.04%	1.57%	22.7%	4.43%
A♠ 5♦	4.04%	1.57%	22.7%	4.43%
J♠ 10♠	4.04%	1.57%	21.8%	4.26%
J♠ 10♦	4.04%	1.57%	22.3%	4.35%
7♠ 2♦	4.04%	1.57%	22.8%	4.45%

Exact over all 19,600 flops and all 2,118,760 five-card boards for each hand, by the best five cards. Calculated by TopSitesPoker.com.

Pocket pairs lead on both hands; unpaired hands finish with two pair a little more than one time in five.

A few things stand out:

• Pocket pairs make two pair more often than three of a kind. A pocket pair ends the river as two pair 39.7% of the time and as three of a kind 11.8% of the time. Most of that two pair is your pocket pair plus a pair on the board, which is weaker than it sounds: the board’s pair is shared, and anyone holding a card that matches it has trips.
• On the flop, every unpaired hand has the same odds. Two pair on the flop is 4.04% for any two unpaired cards: 2.02% from both hole cards pairing, and 2.02% from one hole card pairing plus a pair on the board. Three of a kind is 1.57%, mostly trips with one hole card.
• By the river, connected and suited hands make both a little less often. J-10 suited ends as two pair 21.8% of the time against 22.8% for 7-2 offsuit. Not because J-10 misses more, but because its two pairs and three of a kinds sometimes turn into straights and flushes, which play instead. Hands that rarely make straights or flushes, like 7-2 offsuit, finish with two pair slightly more often.
• Sets are rare. A pocket pair is dealt 1 time in 17, and it flops three of a kind only 10.8% of the time, or 11.8% counting the full houses and fours of a kind it flops on paired boards. So in any single hand, you’ll flop a set or better well under 1% of the time.

Two Pair Against Three of a Kind: Outs and Equities

When two pair runs into three of a kind before the river, it isn’t always dead, but it’s close. Unless it also has a straight or flush draw, two pair can only win by filling up to a full house bigger than anything the other player can make, and that leaves very few outs. How many depends on how both hands were made:

• Top two pair against a lower set (K-9 against 4-4 on K-9-4): any king or nine gives you a full house over theirs, 4 outs. They can still make four of a kind with the last four, and they fill up on some boards too.
• Top two pair against a set of your second pair (K-9 against 9-9 on K-9-4): the nines are gone, so only the two kings help, 2 outs.
• Two pair against trips on a paired board (K-Q against 8-A on 8-8-K): only a king gives you kings full, 2 outs. A queen gives you kings and queens, which still loses to three eights.

Matchup	Board	Hand ahead	Equity of the hand ahead
9♥ 9♦ (middle set) vs K♠ 9♣ (top two pair)	K♦ 9♠ 4♣	Set	91.2%
4♥ 4♦ (bottom set) vs K♠ 9♣ (top two pair)	K♦ 9♠ 4♣	Set	83.2%
4♥ 4♦ vs K♠ 9♣, turn	K♦ 9♠ 4♣ 2♥	Set	90.9%
8♦ A♣ (trips) vs K♣ Q♦ (kings and eights)	8♠ 8♥ K♦	Trips	91.1%
8♦ A♣ vs K♣ Q♦, turn	8♠ 8♥ K♦ 2♣	Trips	95.5%
A♥ A♦ (aces and eights) vs K♣ Q♦ (kings and eights)	8♠ 8♥ K♦	Aces and eights	91.3%
K♠ 9♣ (top two pair) vs A♥ A♦ (overpair)	K♦ 9♠ 4♣	Two pair	74.5%
9♠ 4♥ (bottom two pair) vs A♠ K♣ (top pair, top kicker)	K♦ 9♦ 4♣	Two pair	74.5%

Exact over every possible turn and river. None of these matchups can tie. Calculated by TopSitesPoker.com.

Exact over every turn and river for the example hands in this guide; top two pair against aces shown for comparison.

The pattern is simple. Three of a kind against two pair on the flop is roughly a 5-to-1 to 10-to-1 favorite, and on the turn it’s a 10-to-1 to 21-to-1 favorite. Two pair against one pair is about a 3-to-1 favorite on the flop, which is good but far from safe. The one-pair hand has five direct outs there, two to make three of a kind and three to make a better two pair, plus runner-runner chances when the turn and river pair each other.

How often each hand improves

Holding	Outs to a full house or better	Improves by the river, from the flop	From the turn
Set (pocket pair plus a board card)	7 on the flop, 10 on the turn	33.4%	21.7%
Two pair (both hole cards used)	4	16.7%	8.7%
Trips (one hole card plus a board pair)	7 on the flop, 10 on the turn	33.4%	21.7%

Exact over all unseen cards, without counting the other players’ hands. The flop figures include runner-runner full houses. Calculated by TopSitesPoker.com.

So three of a kind fills up twice as often as two pair, and that’s another reason it’s the better hand to hold: even when both players improve, the three of a kind usually makes the bigger full house.

How often the two hands meet

For a heads-up pot, we counted every possible deal of two hands and a board to see how often one player holds two pair while the other holds three of a kind:

Street	One player has two pair, the other three of a kind
Flop	0.47% of deals (1 in 214)
Turn	1.30% (1 in 77)
River	2.24% (1 in 44.6)

Exact over every flop, turn and river board and every pair of two-card hands. Calculated by TopSitesPoker.com.

More than 96% of those flop clashes happen on a paired flop. On an unpaired flop, the clash needs one player to flop a set while the other flops two pair with both hole cards, and that’s a rare pairing: 0.018% of heads-up deals. On a paired flop, it only takes one player holding the third card of the board’s pair, while the other pairs the flop’s odd card or holds a pocket pair. By the river, the board’s shape tells the same story. If you hold two pair on a finished board with one pair, a single random opponent holds three of a kind 6.9% of the time; with no pair on the board, 1.1%; and with two pair on the board, never.

How Often Two Pair Loses to Three of a Kind at the Table

To see how the two hands meet in real pots, we simulated 400,000,000 Hold’em deals for each table size from two to nine players, with every player staying in to the river. That’s the worst case for two pair, since real players fold, but it shows the risk clearly. The heads-up figure is exact.

Players	Someone ends with two pair	Someone ends with three of a kind	Two pair loses to three of a kind
2	38.1% of deals	8.67%	1 deal in 44.6
3	48.3%	12.1%	1 in 20.1
4	55.7%	15.3%	1 in 13.3
5	61.3%	18.3%	1 in 10.3
6	65.7%	21.3%	1 in 8.7
7	69.3%	24.1%	1 in 7.8
8	72.3%	26.8%	1 in 7.1
9	74.9%	29.4%	1 in 6.7

TopSitesPoker.com simulation, 400,000,000 deals per table size, every player to the river. “Two pair loses to three of a kind” counts deals where the winning hand is three of a kind and at least one other player holds two pair. Heads-up figure exact over every deal.

Every player seeing the river; 400,000,000 simulated deals per table size, heads-up exact.

Heads-up, the clash is uncommon: about 1 deal in 45. At a full table, it happens in about 1 deal in 7. That’s the real reason two pair shrinks as more players see the river. It isn’t just three of a kind: the more hands in play, the more likely someone has made something bigger.

How two pair does when it gets to showdown

Players	Two pair wins outright	Splits	Loses	Loses to a higher two pair	Loses to three of a kind	Loses to a straight or flush	Loses to a full house or better
2	64.3%	5.2%	30.5%	16.2%	4.8%	5.0%	4.5%
3	45.8%	5.0%	49.2%	22.8%	8.8%	9.0%	8.6%
6	20.1%	3.4%	76.6%	23.4%	17.4%	17.0%	18.7%
9	10.7%	2.0%	87.3%	16.9%	22.4%	21.7%	26.3%

Share of all two-pair hands at showdown, every player to the river. The four loss columns add up to the “Loses” column. TopSitesPoker.com simulation, 400,000,000 deals per table size.

Two pair’s biggest threat changes with the table size. Up to six players, the largest share of its losses is to a higher two pair: with so many two pairs around, the higher one often wins. As the table fills, three of a kind, straights and flushes, and full houses each take a similar share, and from seven players up, a full house or better edges ahead. These are worst-case numbers because nobody folds, but the lesson holds: two pair is a strong hand heads-up and a vulnerable one in a big multiway pot.

How three of a kind does when it gets to showdown

Three of a kind needs one adjustment. When the three are on the board, every player shares them, so we separated those deals, which make up 28.6% of all three-of-a-kind hands in Hold’em. Here are the others, where the three of a kind was made with at least one hole card:

Players	Three of a kind wins outright	Splits	Loses	Loses to a higher three of a kind	Loses to a straight or flush	Loses to a full house or better
2	90.8%	1.0%	8.2%	1.0%	5.7%	1.5%
3	83.0%	1.9%	15.1%	1.9%	10.3%	2.9%
6	64.5%	4.1%	31.3%	4.0%	20.1%	7.2%
9	50.8%	5.8%	43.3%	5.6%	26.4%	11.3%

Three-of-a-kind hands at showdown on boards without three of a kind, every player to the river. TopSitesPoker.com simulation, 400,000,000 deals per table size.

The contrast with two pair is sharp. Three of a kind made with a hole card wins outright 90.8% of the time heads-up and still more than half the time at a full table, where two pair wins only 10.7%. Its main threat is the straight or flush, not another three of a kind. Every split is another player holding the same three of a kind with the same kickers.

Which hand wins the pot

Players	Winning hand is two pair	Winning hand is three of a kind	Most common winning hand
2	31.4%	7.19%	One pair (37.1%)
3	33.9%	9.25%	Two pair
4	33.8%	11.0%	Two pair
6	30.5%	13.9%	Two pair
9	24.6%	16.7%	Two pair

Share of deals won by each hand, every player to the river. TopSitesPoker.com simulation, 400,000,000 deals per table size.

Two pair is the most common winning hand in Hold’em from three players up, even though it loses so often. That’s not a contradiction: it’s so common that it wins plenty of pots simply by showing up. Three of a kind wins a growing share as the table fills, because it’s one of the hands strong enough to survive a crowded showdown.

Worked Examples: Three of a Kind vs Two Pair at Showdown

These showdowns cover the situations that come up most, plus the misreads that cost money. Every hand was checked with a hand evaluator. Unless stated otherwise, the game is Texas Hold’em.

Board	Player A	Player B	Result
K♠ 9♦ 4♣ 7♥ 2♠	K♦ 9♣: top two pair, K-K-9-9-7	4♥ 4♦: set of fours, 4-4-4-K-9	B wins: a set of fours beats the top two pair
8♠ 8♥ K♦ 5♣ 2♠	K♣ Q♦: kings and eights, K-K-8-8-Q	8♦ 3♥: trips, 8-8-8-K-5	B wins: the 3 doesn’t even play, and it doesn’t need to
8♠ 8♥ K♦ 5♣ 2♠	A♥ A♦: aces and eights, A-A-8-8-K	8♣ 3♥: trips, 8-8-8-K-5	B wins: pocket aces are only two pair here
8♠ 8♥ K♦ 5♣ 2♠	8♦ A♣: 8-8-8-A-K	8♣ 3♥: 8-8-8-K-5	A wins: same trips; the kickers are A-K against K-5, so the ace decides
7♠ 7♦ 7♣ K♥ 2♠	A♠ Q♥: 7-7-7-A-K	Q♣ J♦: 7-7-7-K-Q	A wins on the first kicker; nobody can have two pair on this board
K♠ K♥ 9♦ 9♣ 5♠	A♥ 2♣: K-K-9-9-A	Q♥ J♥: K-K-9-9-Q	A wins: both play the board’s two pair, and the ace kicker decides
K♠ K♥ 9♦ 9♣ 5♠	5♥ 5♦: full house, 5-5-5-K-K	A♥ 2♣: K-K-9-9-A	A wins: on a two-pair board, a set is a full house
A♠ A♥ 8♦ 8♣ Q♦	6♠ 6♥: A-A-8-8-Q (three pairs)	Q♣ 3♥: A-A-Q-Q-8	B wins: only the two highest pairs play, and queens beat eights
A♠ A♥ 8♦ 8♣ Q♦	6♠ 6♥: A-A-8-8-Q	J♣ 3♥: A-A-8-8-Q	Split: the pocket sixes are counterfeited, and both players play the board
A♦ 5♠ 3♥ K♠ 9♣	A♣ 3♠: A-A-3-3-K	K♣ 5♦: K-K-5-5-A	A wins: the top pair is compared first, and aces beat kings
A♦ K♠ Q♥ 6♣ 2♦	A♥ K♥: top two pair, A-A-K-K-Q	Q♣ Q♦: bottom set, Q-Q-Q-A-K	B wins: the classic cooler
K♠ Q♣ 4♦ 4♠ 9♥	9♣ 9♦: full house, 9-9-9-4-4	K♥ Q♥: K-K-Q-Q-9	A wins: the set picked up the board’s pair and became a full house
7♠ 8♣ 9♦ 10♥ 2♠	7♥ 7♦: set, 7-7-7-10-9	Q♠ J♠: straight, Q-J-10-9-8	B wins: three of a kind loses to any straight
8♣ J♠ 10♠ 3♦ 3♥	J♥ 10♥: J-J-10-10-8	8♥ 8♦: full house, 8-8-8-3-3	B wins: pocket eights make a set plus the board’s pair of threes
Omaha: K♠ K♦ 7♥ 7♣ 2♠	K♥ Q♣ 8♦ 3♠: K-K-K-Q-7	9♠ 9♥ 5♦ 4♣: K-K-9-9-7	A wins: in Omaha, one king in the hand makes only three of a kind here, not a full house
Omaha: 8♠ 8♦ 8♥ K♣ 6♠	A♠ Q♥ J♦ 10♣: 8-8-8-A-Q	5♠ 4♥ 3♦ 2♣: 8-8-8-5-4	A wins: both must play two hole cards with the board’s three eights

Every example checked with a hand evaluator. Omaha hands use exactly two hole cards and three board cards.

The Omaha row with the king deserves a second look. In Hold’em, a player holding one king on K-K-7-7-2 would have kings full of sevens. In Omaha, you must use exactly three board cards, so you can’t take the board’s two kings and both sevens at once. K♥ Q♣ plays K-K-K-Q-7, three of a kind. That’s why three of a kind is possible on a two-pair board in Omaha, but not in Hold’em.

A board-reading checklist

1. Is the board paired? If not, three of a kind needs a set, a pocket pair that matches a board card, and two pair needs both of your hole cards to pair the board. Both are strong hands on an unpaired board.
2. If one card is paired, who has the third one? Any player holding it has trips. If your two pair uses the board’s pair, you really have one pair of your own, and every trips hand beats you.
3. If the board shows two pair, nobody’s best hand is three of a kind. Everyone has at least two pair, so the kicker, or a card that makes a full house, decides.
4. If the board shows three of a kind, nobody’s best hand is two pair. Everyone has at least three of a kind, so kickers decide, unless someone has a full house.
5. Count your pairs. Three pairs still make only two pair: the top two play, plus the best kicker.
6. Look up the ladder. Before you worry about three of a kind, check for three cards of a suit and three cards within a five-rank span. Straights and flushes beat both hands.

Strategy: Playing Two Pair and Three of a Kind

Knowing that three of a kind beats two pair is the easy part. The hard part is knowing, in a real hand, how strong your two pair or three of a kind is, and that depends mostly on how it was made.

Not all two pairs are equal

Kind of two pair	Example	How strong it is
Top two pair, both hole cards	K-9 on K-9-4	Very strong on a dry board: on the flop, only 5 of 1,081 possible hands are ahead, all of them sets
Top and bottom, or bottom two pair	K-4 or 9-4 on K-9-4	Strong, but also loses to higher two pairs: 11 and 17 of 1,081 hands are ahead on the flop
One hole card plus a pair on the board	K-Q on 8-8-K	Really top pair: 106 of 1,081 hands are ahead on the flop, 86 of them trips
Pocket pair plus a pair on the board	7-7 on K-K-4	Really one pair of sevens: any king, any higher pocket pair and pocket fours beat it
Both pairs on the board	Any hand on K-K-9-9-5	Shared by everyone; only your kicker counts

Flop counts exact over every two-card hand an opponent could hold. Calculated by TopSitesPoker.com.

The rule of thumb: count the pairs you made with your own cards. Two of them, and you have a real two pair. One, and you have one pair plus whatever the board gives everyone. That’s why K-Q on 8-8-K deserves top-pair caution, not two-pair confidence: any player with an eight, and there are many ways to hold one, has you beaten.

Playing two pair

• Bet it. Real two pair is ahead of almost everything on an unpaired flop, and it’s vulnerable: one-pair hands have five outs against you, and straight and flush draws have more. Top two pair against pocket aces is only a 74.5% favorite on the flop, so charge the draws and the big pairs to see more cards.
• Watch the board pair. When the turn or river pairs a board card, two things happen. Your two pair may become a full house, if the paired card is one of yours. But if it isn’t, a player holding that card now has trips, and three pairs on the board side can counterfeit your lower pair.
• Respect raises on paired boards. On a board like 8-8-K, a player who calls and then raises the turn is often holding an eight. Top pair with a better kicker doesn’t change that.
• Mind the lower pair. Bottom two pair loses to every higher two pair, and when the board pairs above your lower pair, you’re often counterfeited: 9-4 on K-9-4-K becomes kings and nines, and anyone with a nine and a better kicker, a king, a pocket pair above nines or pocket fours is ahead.

Playing sets and trips

• Sets are disguised. A pocket pair that hits the board looks like nothing special, which is why sets win big pots against top two pair and overpairs. On a dry, unpaired flop where no straight or flush is possible yet, the set is behind only higher sets: bottom set on K-9-4 has 6 of 1,081 hands ahead of it.
• Trips are obvious. When the board pairs, everyone at the table knows that trips are possible. Your opponents will pay you less, and the kicker becomes the whole hand: 8-A on 8-8-K has 6 hands ahead of it on the flop, all full houses; 8-3 on the same flop has 42, because 36 hands hold trips with a better kicker.
• Both fill up often. A set or trips improves to a full house or better 33.4% of the time from the flop and 21.7% from the turn, twice the rate of two pair. That’s a reason to build the pot, not to slow down.
• Straights and flushes are the real threat. In our simulations, three of a kind loses to a straight or flush far more often than to a higher three of a kind. On a coordinated board, bet your set to deny the draws.

Pot odds when you’re behind

If you hold two pair with no straight or flush draw and you’re sure your opponent has three of a kind, you’re drawing to a full house. Here’s what the price has to be:

Situation, with one card to come	Outs	Chance of winning	Pot odds needed to call
Two pair against a lower set (K-9 against 4-4 on K-9-4-2)	4	9.1%	10 to 1
Two pair against trips on a paired board (K-Q against 8-A on 8-8-K-2)	2	4.5%	21 to 1
One pair against two pair (A-K against 9-4 on K-9-4-2)	8: three aces, two kings, and three deuces (kings and deuces beat nines and fours)	18.2%	4.5 to 1

Exact over the 44 unseen cards, with both hands known. Pot odds needed = (100 − win chance) ÷ win chance, before counting any money you might win later. Calculated by TopSitesPoker.com.

A 10-to-1 price almost never comes along with one card to come, so in practice two pair folds to a sure three of a kind on the turn unless the bet is tiny. The catch is the word “sure”: most of the time, you won’t know. That’s where the board reading above comes in. A three of a kind on an unpaired board has to be a set, so it’s rare; a three of a kind on a paired board only takes one card, so it’s common.

Three of a Kind vs Two Pair in Other Poker Games

Three of a kind beats two pair in every standard high-hand game. What changes from game to game is how often each hand comes up, how they’re built and how much they’re worth.

Omaha

In Omaha, you get four hole cards and must use exactly two of them with exactly three board cards. Two pair is the most common final hand, 36.8% of hands that go to the river, and three of a kind makes up 8.78%, according to the exact counts published by the Wizard of Odds. The exactly-two rule changes how the board works for both hands:

• A board with two pair doesn’t give you two pair. Three board cards can hold only one of the board’s pairs, so on K-K-7-7-2 you need a card of your own to make two pair. A player with A-Q-J-10 there has only one pair of kings.
• A board with two pair can give you three of a kind. In Hold’em, one king in your hand on K-K-7-7-2 makes a full house. In Omaha, it makes three kings, because you can’t also use both sevens.
• A board with three of a kind does play. Three board cards plus two of your own are allowed, so on 8-8-8-K-6 every Omaha player has at least three eights, and the two hole cards they add act as kickers.

Because everyone has six two-card combinations to work with, two pair is a weak hand in multiway Omaha. We simulated 60,000,000 heads-up deals and 30,000,000 six-handed deals, with every player going to the river:

Omaha, everyone to the river	Heads-up	Six-handed
Two pair loses to three of a kind	1 deal in 17.3	1 deal in 9.6
Two pair wins outright	46.4%	4.3%
Three of a kind wins outright	67.2%	21.0%
Winning hand is two pair	34.6%	10.3%
Winning hand is three of a kind	11.9%	11.3%

TopSitesPoker.com simulation: 60,000,000 heads-up and 30,000,000 six-handed Omaha deals, every hand evaluated with exactly two hole cards and three board cards.

Six-handed, two pair wins outright only 4.3% of the time it reaches a showdown, and most of its losses, 72.7% of all two-pair hands, are to straights or better. Three of a kind fares better but still loses more often than it wins. In Omaha, the answer to “does three of a kind beat two pair?” is the same, but neither hand is a hand to go broke with.

Short Deck Hold’em

Short Deck, or Six Plus Hold’em, removes the 2s through 5s and plays with 36 cards. Two pair and three of a kind keep the same 2.25 ratio in five cards (36,288 against 16,128 of 376,992 hands), because the suit patterns don’t change. By the river, two pair is the best hand 37.8% of the time and three of a kind 7.27%, a ratio of 5.2, with the straight ranked above three of a kind. Where three of a kind ranks above the straight, it’s 7.64%, and two pair is still almost five times as common.

Short Deck rule sets differ on two points. Almost all rank a flush above a full house, and some also rank three of a kind above a straight. Neither change touches three of a kind against two pair: in every Short Deck rule set, three of a kind wins.

Seven Card Stud

In Stud, each player gets seven cards of their own, three face down and four face up, and there’s no board. The seven-card odds are the same as Hold’em’s: two pair 23.5% and three of a kind 4.83% for a hand that goes to seventh street. Being dealt three of a kind in your first three cards, “rolled up,” happens 1 time in 425. Played to the end, rolled-up three of a kind improves to a full house 32.0% of the time and to four of a kind 8.2%.

Stud gives you more information than Hold’em. When an opponent’s up-cards show a pair, the chance they have three of a kind depends on how many of the other two cards of that rank you can see. If one of them is showing elsewhere, trips are much less likely; if both are, trips are impossible. With two pair on fifth street and two cards to come, you fill up 16.6% of the time and make four of a kind 0.19%, if none of your outs have been seen.

Five Card Draw

In Five Card Draw, you’re dealt two pair 4.75% of the time and three of a kind 2.11%, the pure five-card odds. The draw changes the picture:

• One pair, drawing three: three of a kind 11.4%, two pair 16.0%, full house 1.0%, four of a kind 0.28%.
• Two pair, drawing one: a full house 8.5% of the time (4 outs in 47 cards).
• Three of a kind, drawing two: a full house 6.1% and four of a kind 4.3%, 10.4% in all.

Head to head, two pair drawing one against three of a kind drawing two is a heavy underdog. With 9♠ 9♥ 4♦ 4♣ K♠ against 7♠ 7♥ 7♦ A♣ 2♥, each discarding its odd cards, the two pair wins only 8.8% of the time: it must fill up, and the three of a kind must not make a higher full house or four of a kind.

Lowball and hi-lo games

Lowball is the one family of games where the answer turns around. In Deuce-to-Seven, the lowest hand wins and the traditional hand order is reversed, so two pair beats three of a kind, and both lose to any one-pair or no-pair hand that isn’t a straight or flush. In Ace-to-Five lowball, straights and flushes don’t count, but pairs still do, and two pair is again a better low than three of a kind. In Razz, played with seven cards, you’ll never end up playing three of a kind as your low: any seven cards with three or more ranks can make two pair or a lower hand. In hi-lo split games like Omaha Hi-Lo and Stud Hi-Lo, the high half uses the standard order, so three of a kind beats two pair for the high, and neither hand can be a qualifying low.

Video poker

In 9/6 Jacks or Better, two pair pays 2 for 1 and three of a kind 3 for 1. With optimal play, 12.9% of final hands are two pair and 7.44% are three of a kind, according to the Wizard of Odds. We calculated the exact value of the key holds, per coin bet:

Dealt hand	Game	Best hold	Value	Alternative	Value
A♠ A♥ 7♦ 7♣ 2♥	9/6 Jacks or Better	Two pair	2.5957	Just the aces	1.5405
3♠ 3♥ 2♦ 2♣ K♠	9/6 Jacks or Better	Two pair	2.5957	Just the king	0.4782
7♠ 7♥ 7♦ K♣ 2♥	9/6 Jacks or Better	Three of a kind, draw two	4.3025	Three of a kind plus the king	3.8511
7♠ 7♥ 9♦ 4♣ 2♥	9/6 Jacks or Better	The pair of sevens	0.8237	Draw five new cards	0.3656
K♠ K♥ 7♦ 7♣ 2♥	9/6 Double Double Bonus	Two pair	1.6809	Just the kings	1.4478
A♠ A♥ 7♦ 7♣ 2♥	9/6 Double Double Bonus	Just the aces	1.9159	Two pair	1.6809

Exact over every possible draw. Value is the average return per coin bet. Calculated by TopSitesPoker.com.

In Jacks or Better, keep two pair and draw one; never break it to keep a high pair. With three of a kind, draw two and don’t keep a kicker: the extra card makes four of a kind less likely. Double Double Bonus pays only 1 for 1 on two pair, and a big bonus for four aces, so aces-up is the famous exception: you break the two pair and keep the aces. Two pair with any other top pair is still a keep.

Three of a Kind and Two Pair at Showdown: Rules and Etiquette

• Cards speak. Your hand is what your cards make, not what you announce. If you say “two pair” and turn over three of a kind, the three of a kind is what’s read [TDA 13]. Deliberately miscalling a hand can be penalized.
• Show both hole cards. Table all your hole cards face up so they can be read [TDA 14]. With two pair or three of a kind that leans on the board, your kicker often decides the pot, so let the dealer see it.
• Playing the board still means showing. On a board like K-K-9-9-A, every player’s best hand may be the board itself. If you’re claiming a share of the pot, you still have to show your cards [TDA 20].
• Don’t muck too soon. Hands with three pairs and sets that turned into full houses are easy to misread in a hurry. Once your cards hit the muck and can’t be identified, they’re dead [TDA 15], so let both hands be read first.
• Suits never break ties. Two identical two pairs with the same kicker split the pot, and so do two identical three of a kinds with the same kickers.
• Odd chips. When a pot is split in a flop game, TDA rules give any odd chip to the first winner to the left of the button [TDA 21]. In Stud, it’s usually awarded by suit to the high card.

The TDA rules apply only in events and rooms that adopt them. Home games and many cardrooms use their own procedures, so check the posted rules where you play.

Common Mistakes With Three of a Kind and Two Pair

Mistake	Why it costs you	What to do instead
Thinking two pair beats three of a kind because it has four matching cards	Two pair is 2.25 times as common in five cards; three of a kind ranks higher	Remember: rarer ranks higher, so three of a kind over two pair
Adding up the pairs	Kings and queens don’t beat aces and threes; the top pair is compared first	Compare the higher pairs, then the lower pairs, then the kicker
Counting three pairs as a bigger hand	Only the two highest pairs play; pocket sixes on A-A-8-8-Q don’t count at all	Play the top two pairs and the best kicker
Treating one hole card plus a board pair as real two pair	K-Q on 8-8-K-5-2 loses to 108 of 990 hands, 70 of them trips	Play it like top pair and respect big bets
Ignoring the kicker with trips	On an 8-8-K flop, 8-3 has 42 hands ahead of it; 8-A has only 6	Value your trips by your kicker
Forgetting that a board two pair is shared	On K-K-9-9-5, A-2 ties with 114 hands and loses to 194	Your kicker, or a full house, is your only edge
Calling big turn bets with two pair against an obvious set	Without a straight or flush draw, two pair usually has 4 outs, 9.1% on the river	Call only when the price is about 10 to 1 or better
Reading an Omaha board’s two pair as yours	You can use only three board cards, so only one of the board’s pairs	Always build two hole cards plus three board cards
Breaking two pair to keep a high pair in Jacks or Better	Two pair is worth 2.5957 per coin, the pair of aces alone 1.5405	Keep two pair, except aces-up in Double Double Bonus
Assuming high-hand rankings in lowball	In Deuce-to-Seven and Ace-to-Five lowball, two pair beats three of a kind	Check which game you’re playing before you read the hands

Figures from the exact counts in this guide. Calculated by TopSitesPoker.com.

Three of a Kind vs Two Pair Quiz

Test yourself. Every answer was checked with a hand evaluator or calculated exactly.

#	Question	Answer	Why
1	Which wins: 2♠ 2♥ 2♦ 4♣ 3♠ or A♠ A♥ K♦ K♣ Q♠?	The three deuces	Any three of a kind beats any two pair
2	How many five-card three of a kinds and two pairs are there?	54,912 and 123,552	858 rank patterns each, times 64 and 144 suit patterns
3	By the Hold’em river, how much more common is two pair?	4.86 times: 23.5% against 4.83%	Extra cards add pairs, and three of a kind plus a pair becomes a full house
4	Board K♠ K♥ 9♦ 9♣ 5♠. Can anyone’s best hand be three of a kind?	No	Any king or nine in a hand makes a full house
5	Board A♠ A♥ 8♦ 8♣ Q♦. 6♠ 6♥ against J♣ 3♥?	Split	Both play A-A-8-8-Q
6	Which wins: A♠ A♥ 3♦ 3♣ 5♠ or K♦ K♣ Q♥ Q♠ J♥?	Aces and threes	The top pair is compared first
7	Board 8♠ 8♥ K♦ 5♣ 2♠. A♥ A♦ against 8♣ 3♥?	8♣ 3♥	Three eights beat aces and eights
8	Board 8♣ J♠ 10♠ 3♦ 3♥. J♥ 10♥ against 8♥ 8♦?	8♥ 8♦	Eights full of threes beats jacks and tens
9	Omaha, board K♠ K♦ 7♥ 7♣ 2♠. You hold K♥ Q♣ 8♦ 3♠. What do you have?	Three kings, K-K-K-Q-7	With exactly three board cards, you can’t use both sevens as well
10	9/6 Jacks or Better, dealt A♠ A♥ 7♦ 7♣ 2♥. What do you keep?	Both pairs	2.5957 per coin against 1.5405 for the aces alone; in Double Double Bonus, keep just the aces

Frequently Asked Questions

Does three of a kind beat two pair?

Yes. Three of a kind beats two pair in Texas Hold’em, Omaha, Seven Card Stud, Five Card Draw and every other standard high-hand game, whatever the ranks. Three deuces beat aces and kings.

Does two pair ever beat three of a kind?

Only in lowball games, where the lowest hand wins. In Deuce-to-Seven and Ace-to-Five lowball, pairs count against you, and two pair is a better low than three of a kind. In every high-hand game, three of a kind wins.

Why does three of a kind rank higher when two pair has more matching cards?

Because poker ranks hands by rarity, not by how many cards match. In a five-card deal, there are 54,912 three of a kinds and 123,552 two pairs. Both hands have 858 possible rank patterns; two pair simply has more suit combinations, 144 against 64.

What’s the difference between a set and trips?

Both are three of a kind. In Hold’em, a set is a pocket pair plus one matching board card; trips is one hole card plus a pair on the board. A set is better disguised, and it can never run into another player with the same three of a kind. In Hold’em, trips are four times as common as sets.

Can you have three of a kind and two pair at the same time?

No. Three of a kind plus a separate pair is a full house, which beats both. With 9-9 on K-Q-4-4-9, you have nines full of fours.

What happens if you have three pairs?

You have two pair: the two highest pairs play, plus the best remaining card as the kicker. Three pairs never make three of a kind. It happens in 7.9% of seven-card hands that end as two pair.

How do you compare two hands with two pair?

Compare the higher pairs first; the higher pair wins. If they match, compare the lower pairs. If both pairs match, the one kicker decides, and if that matches too, the pot is split. Aces and threes beat kings and queens.

What happens if two players have the same three of a kind?

The kickers decide: first the higher kicker, then the second one. If both kickers match, the pot is split. In Hold’em, this only happens when the board has at least a pair of the three’s rank.

What are the odds of three of a kind and two pair in Texas Hold’em?

By the river, your best hand is two pair 23.5% of the time (about 1 in 4.3) and three of a kind 4.83% (about 1 in 21). On the flop, the odds are 4.75% and 2.11%. A pocket pair makes three of a kind 11.8% of the time by the river, and two pair 39.7%.

Is a set better than top two pair?

Yes. A set of fours beats kings and nines. On a K-9-4 flop, bottom set against top two pair wins 83.2% of the time, and middle set against top two pair 91.2%.

Can two pair come back against three of a kind?

Usually only by making a full house bigger than the other player’s hand, unless it also has a straight or flush draw. That usually means 4 outs, or 2 outs when the three of a kind blocks one of your pairs or you’re up against trips on a paired board. With one card to come, 4 outs win 9.1% of the time.

What beats three of a kind?

A straight, a flush, a full house, four of a kind, a straight flush and a royal flush, as well as any higher three of a kind.

If the board shows three of a kind, who wins?

Everyone has at least that three of a kind, so the best two kickers win, unless someone has a full house or four of a kind. Nobody’s best hand can be two pair on such a board.

If the board shows two pair, can anyone have three of a kind?

Not as a best hand in Hold’em. Any hole card that matches one of the board’s pairs makes a full house. Everyone else plays at least the board’s two pair, and the kicker decides. In Omaha, it’s different: one matching hole card makes only three of a kind, because you can use just three board cards.

Does three of a kind beat two pair in Omaha?

Yes, the ranking is the same. But in Omaha, two pair is the final hand 36.8% of the time and three of a kind 8.78%, and in a six-handed pot where everyone reaches the river, two pair wins outright only 4.3% of the time.

Does three of a kind beat two pair in Short Deck?

Yes, in every Short Deck rule set. Some rule sets move three of a kind above the straight, but none put it below two pair.

Should you break two pair in video poker?

In 9/6 Jacks or Better, no: keep both pairs and draw one card. In Double Double Bonus, keep two pair except when one pair is aces, where keeping just the aces is worth more because of the four-aces bonus.

Three of a Kind vs Two Pair: Quick-Reference Summary

Question	Answer
Does three of a kind beat two pair?	Yes, in every standard high-hand game
Why	It’s rarer: 54,912 five-card three of a kinds against 123,552 two pairs
Where the gap comes from	858 rank patterns each; 64 suit patterns for three of a kind, 144 for two pair
Rank	Three of a kind seventh, two pair eighth of the ten standard hands
Lowest three of a kind against highest two pair	2-2-2-4-3 beats A-A-K-K-Q
Both in one hand	Impossible: three of a kind plus a pair is a full house
Three pairs	Still two pair: the top two pairs and the best kicker play
Odds by the Hold’em river	Two pair 23.5%, three of a kind 4.83%; 4.86 two pairs per three of a kind
How Hold’em three of a kinds are made	1 : 4 : 2 (set / trips / board)
How Hold’em two pairs are made	4 : 2 : 12 : 3 (both hole cards / pocket pair plus board pair / one hole card plus board pair / board)
Board rules in Hold’em	Three of a kind on the board: nobody’s best hand is two pair. Two pair on the board: nobody’s best hand is three of a kind.
Bottom or middle set against top two pair on a dry flop	83.2% (bottom set) to 91.2% (middle set)
How often two pair loses to three of a kind, everyone to the river	1 deal in 44.6 heads-up, 1 in 8.7 six-handed, 1 in 6.7 nine-handed
Comparing two of the same	Two pair: top pair, second pair, kicker. Three of a kind: the three, then two kickers.
Other games	Same order in Omaha, Short Deck, Stud and Draw; reversed in lowball games

About This Guide

This guide uses the standard poker hand rankings used in casinos, cardrooms and online, and the TDA 2026 rules (version 1.0, September 7, 2026) where showdown procedure is concerned. House rules, especially on Short Deck rankings, lowball, Stud procedures and split pots, vary, and the rules of the room or site where you play always apply.

Every probability except the video poker frequencies and the Omaha hand frequencies was produced by the TopSitesPoker.com editorial team rather than copied from other sources:

• Exact counts: five-, six- and seven-card counts over all 2,598,960, 20,358,520 and 133,784,560 hands; two pairs by top pair and three of a kinds by rank; seven-card holdings with three of a kind or pairs; how each hand is made and hand frequencies by board shape over all 2,809,475,760 combinations of two hole cards and five board cards; heads-up two pair against three of a kind frequencies on the flop, turn and river over every combination of board and hands; starting-hand figures over every flop and every board; Short Deck over all 376,992 five-card and 8,347,680 seven-card hands; and every example, equity, beat count, outs figure and Stud or Draw probability over all possible remaining cards.
• Simulations: the Hold’em table-size figures from 400,000,000 simulated deals per table size, and the Omaha showdown figures from 30,000,000 simulated six-handed and 60,000,000 heads-up deals, all with every player seeing the river.
• Published figures: the Omaha two pair and three of a kind counts and the 9/6 Jacks or Better frequencies under optimal strategy come from the Wizard of Odds. The video poker hold values are our own, exact over every possible draw.
• Evaluator checks: every example, comparison, showdown and quiz answer was verified with a hand evaluator, with Omaha hands evaluated using exactly two hole cards and three board cards.

Hold’em, Omaha and Stud figures assume every hand is played to the end. In real games, many players fold before the river, so showdowns are smaller and both hands win more often than these worst-case figures suggest.

The Bottom Line

Three of a kind beats two pair in every standard high-hand game, because it’s rarer: 54,912 five-card hands against 123,552. The two hands use the same number of rank patterns, so the difference comes entirely from suits. Three deuces beat aces and kings, and no hand can hold both, because three of a kind plus a pair is a full house. With seven cards, the gap grows to almost five to one, and two pair becomes one of the most common hands in the game.

The practical lessons follow from how each hand is made. Count the pairs you made with your own cards: two pair that leans on a board pair is really one pair, and anyone holding the third card of that pair has you beaten. Read the board before you read your hand: a board with three of a kind rules out two pair, and a board with two pair rules out three of a kind. A set is a big favorite over top two pair and is well disguised, so build the pot with it. And when your two pair is up against a sure three of a kind with one card to come, you need about 10 to 1 to call, a price you’ll rarely get.