AA vs KK: The 82% Cooler Every Player Remembers

Pocket aces beat pocket kings about 82% of the time when the money goes in preflop. The kings collect the other 18% almost entirely by hitting one of the two remaining kings, and the two remaining aces show up on roughly one board in five as well. The stacks go in every single time, because both players are right to put them in — which is exactly what makes this the most memorable cooler in poker.

The 82/18 split

All-in preflop, A♠A♥ against K♠K♥ runs at roughly 82% to 18%. Suits move it about a point either way. When the kings share both suits with the aces, some of the kings' flush outs are dead and the aces climb a little higher.

The part people misremember is which card matters. The kings are not hoping to dodge an ace. An ace on the board is close to irrelevant to them, because they are already losing to a pair of aces. They are hoping to hit a king.

Two kings remain in a 50-card deck. Across five board cards that is about a 19% chance, and once you subtract the runouts where the aces redraw to a bigger full house or flush, you land almost exactly on 18%.

AA vs KK is 82/18, and the 18 is the two live kings. Two outs hit a five-card board about 19% of the time.

That same 19% is why one of the two remaining aces appears on roughly one board in five — the card that makes the hand feel like destiny to the loser, even though it changed nothing at all. Run it through a hand versus hand equity calculator and you will see the aces sitting in the low eighties no matter which suits you pick.

How aces do against everything else

Kings are not an unusually good hand to hold against aces. They are close to the worst.

Opponent's hand	Aces' equity
KK	~82%
QQ	~81%
22	~81%
AKo	~93%
AKs	~88%
72o	~87%
JTs	~77%

Two things fall out of that table.

Every pocket pair below aces performs about the same. Kings, queens and deuces all sit within a point of each other, because they are all drawing to two cards. The rank of your pair barely matters once you are behind a bigger one.

The gap between the best and worst holdings is smaller than it feels. Even aces against the worst hand in the deck only wins around 87%, five points better than against kings. Meanwhile a suited connector like J♦T♦ reaches roughly 23%, better than the kings ever manage, because it draws to straights and flushes rather than two dead cards.

How often the cooler actually arrives

You are dealt kings about once every 221 hands. Any one opponent holds aces about 0.5% of the time — six combinations out of the 1,225 available to them.

At a six-handed table that makes it roughly a 2.4% chance somebody has aces when you look down at kings, rising to about 4% nine-handed. Put those together and the confrontation arrives around once every 9,000 hands six-handed: a handful of times a year for a grinder, maybe once for a weekend player.

This is the textbook illustration of what a cooler is: both players play the hand correctly, both are happy with their decisions, and one of them loses a full stack. At $1/$2 with 100 big blinds behind, that is $200 across the table on a hand nobody misplayed.

The consolation is that it nets out. You hold the aces exactly as often as you hold the kings, and you win 82% of one side and 18% of the other. Over a career, AA vs KK is close to free.

Why the stacks always go in

Kings are the second-best of 169 starting hands. Folding them preflop for 100 big blinds requires believing your opponent's all-in range is aces and nothing else.

Almost nobody has that range. A realistic five-bet shoving range contains aces, kings and ace-king, sometimes queens and a suited-ace bluff. Against that, your kings are a solid favourite and the fold is a disaster.

So the money goes in, and it will keep going in for as long as you play. The skill is not in avoiding the spot. It is in making sure you are on the right side of it as often as the deal allows.

Playing kings when aces are possible

At 100 big blinds, three-bet, four-bet and get it in. There is no read strong enough to justify folding kings for a stack at that depth against a range you cannot narrow to a single hand.

Depth changes the calculation. At 200 big blinds or more against a player who has never four-bet without aces, calling the four-bet and playing postflop is defensible — you keep the pot small, you keep their bluffs in, and you get to fold on an ace-high board. The detail on sizing and postflop lines is in how to play pocket kings.

Postflop, the ace you are afraid of arrives on about 22% of flops. That feels frequent, and it is, but most of those aces belong to nobody. Continuation-bet, and treat the second barrel as the real decision point rather than folding to the first sign of resistance.

Playing aces so the kings pay

The only way to lose money with aces is to fail to build a pot with them. Every slowplay is a refusal of the 82% you were dealt.

Raise, three-bet and four-bet on the small side when you want a hand like kings or queens to continue. A four-bet to around 2.2 times their three-bet keeps their whole strong range in; a four-bet to three times folds out everything you beat. The full preflop treatment is in playing pocket aces preflop.

Postflop, keep betting. Aces on a king-high board are still ahead of almost everything, and the three remaining king combinations that beat you are not a reason to check down against the many worse hands that will pay.

Stack depth is the one thing that changes the plan. At 40 big blinds you are getting it in preflop; at 300 big blinds you need a real reason to put your last chip in on a wet board, because the ranges that stack off that deep are far narrower.

After it happens

You will lose this one, on average, half the times you are in it. Treat it as rent.

The players who leak money after a cooler are not the ones who lost the stack. They are the ones who spend the next orbit three-betting light to get it back, or who start folding kings because of one bad memory. Neither reaction is supported by the maths, and both cost more over a month than the cooler did in a minute.

The useful habit is to check your equity after the fact rather than during. Take the hands that hurt, run the numbers, confirm the decision was right, and move on with the same range you had before.