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Yes. Four of a kind is the third-strongest hand in poker and a full house is the fourth, so quads win every time — four twos beat aces full of kings, and the sizes of the cards never enter into it. The gap is much wider than one place in a list suggests: a full house turns up about once in 39 hands and four of a kind about once in 595, which makes quads roughly fifteen times rarer. Pick both hands in the tool below and the verdict comes with the frequencies attached.
The answer in one line, with the ranking that produces it
Real Hold'em frequencies — 1 in 595 against 1 in 39
What happens when the quads are on the board
What beats what
Rank 3 of 10
Four cards of one rank
Rank 4 of 10
Three of a kind + a pair
Four of a Kind beats Full House. The stronger hand class always wins, whatever the cards inside it are.
The percentage is how often that is the best five-card hand available from seven cards. Frequency is what orders the whole ranking, and here it is not a near thing.
Hand
Four of a kind
Example
Q♠ Q♥ Q♦ Q♣ 7♠
Rank
3rd
How often
0.168%
Roughly once every
595 hands
Hand
Full house
Example
J♠ J♥ J♦ 4♠ 4♣
Rank
4th
How often
2.60%
Roughly once every
39 hands
Almost all of them start with a paired board, because a paired board is what makes both hands possible at once. That is exactly why this is the most expensive cooler in Hold'em.
Board
9♠ 9♥ 4♦ 4♣ K♠
The quads
Pocket nines or pocket fours
The full house
Any king, or K-4
What usually happens
Stacks go in; the full house cannot fold
Board
7♣ 7♦ 7♥ Q♠ 2♦
The quads
Any player holding the fourth seven
The full house
Any pocket pair, or Q-x
What usually happens
Trips on the board make everyone confident
Board
A♠ A♥ A♦ 8♣ 8♠
The quads
The fourth ace
The full house
Any pocket pair below aces
What usually happens
The rare board where the full house is drawing dead and knows it
Board
5♠ 5♥ 5♦ 5♣ J♠
The quads
Everyone — the board plays
The full house
Nobody
What usually happens
Split pot, unless somebody holds a jack or better kicker
Four of a kind beats a full house, always. The ranking is fixed: royal flush, straight flush, four of a kind, full house, flush, straight, three of a kind, two pair, one pair, high card. A higher class beats a lower one regardless of the cards inside it, so the smallest possible quads — four twos — beat the biggest possible full house, aces full of kings.
The ranking is ordered by how often each hand is the best five cards you can make from seven. A full house gets there 2.60% of the time and four of a kind 0.168%. That is a factor of roughly fifteen, which is a far bigger step than the one between the full house and the flush directly below it — those two are 2.60% against 3.03%, near neighbours that argue with each other constantly. Nobody argues about quads.
Both hands need a paired board, so they arrive together. The player with the full house is holding a hand that beats everything they can reasonably put their opponent on, and it is very hard to fold. That is the whole mechanic of the cooler: the loser is not making a mistake in any way they could have avoided, they are holding the second-best hand in a spot where second best still looks like a monster. If you are the one with the boat, losing the pot is usually correct play meeting bad luck rather than a leak to fix.
If all four cards of a rank are community cards, every player has four of a kind and the hand is decided by the fifth card — the best kicker either player can add from their two hole cards or from the board. On 5♠ 5♥ 5♦ 5♣ J♠ everyone plays quad fives with a jack unless somebody holds a queen, king or ace, in which case that card replaces the jack and takes the pot. This is one of the few places in Hold'em where a single high card in an otherwise worthless hand wins a large pot.
The higher rank, always: four queens beat four sevens. Two players can only hold different quads when the board is paired twice — something like 8♠ 8♥ 3♦ 3♣ K♠ with one player on pocket eights and the other on pocket threes. It happens perhaps once in a poker lifetime, and the player holding the lower set of quads has no way of knowing they are beaten until the money is already in.
From a pocket pair, you flop four of a kind about once in 407 attempts and get there by the river about once in 122. From two unpaired cards it takes the board doing nearly all the work. The practical consequence is that most quads in a home game come from a pocket pair that also had a straightforward reason to be in the hand — which is why they so often arrive against somebody who also has something.
The hand is close enough to unbeatable that the only real question is how much your opponent will put in. Against a paired board most players are worried about exactly the hand you have, so a large bet often ends it. The exception is the case above — when they hold the full house, they are calling almost anything, and betting small there is leaving money on the table. Read which of the two situations you are in from what they did before the board paired, not from how strong your own hand feels.
This matchup produces the biggest pot most home games ever see, and the biggest pot is the one people misremember at settlement time. A room on PokerChip.live tracks the stacks as the chips move, so the cooler ends with a number everyone can see rather than three versions of who had what.
FAQ
01
Yes, every time. Four of a kind is the third-strongest hand and a full house the fourth, so even four twos beat aces full of kings.
02
Yes. It is one place higher in the ranking and about fifteen times rarer — 1 in 595 hands against 1 in 39.
03
Only a straight flush and a royal flush. Nothing else in the deck does.
04
No. The hand classes are absolute in Texas Hold'em: a higher class always wins, whatever the individual cards are.
05
Every player has it, and the fifth card decides the pot. Whoever can add the highest kicker from their hole cards wins; if nobody can beat the board's fifth card, the pot is split.
06
The higher rank. Four queens beat four sevens. It requires a double-paired board and is one of the rarest things that happens in poker.
07
About 0.168% of hands, or one in 595, counting the best five cards out of seven. From a pocket pair you make it roughly one time in 122.
08
Yes. Quads is the table name for it and is used far more often than the formal one.
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