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AK vs Pocket Pairs: Equity Against 22 Through AA

AK offsuit is 43% against queens, about 46% against deuces and only 7% against aces. The full equity ladder and what to do at each rung.

6 min read · Published

AK is never a favourite against a pocket pair — not once, not even against deuces. Offsuit it holds about 43% against QQ, JJ and TT, climbs to roughly 46% against the smallest pairs, falls to 30% against KK and collapses to about 7% against AA. Suited AK adds three or four points at every rung. That ladder explains almost everything you should do with ace-king before the flop.

The equity ladder

These are all-in equities: money in before the flop, five cards to come, nobody folding. Round them off, because the exact figure moves a point either way depending on which suits are in play.

Their handAKo equityAKs equity
AA7%12%
KK30%34%
QQ or JJ43%46%
TT to 8844%47%
77 to 2245-46%48-50%

Three rungs, and the gaps between them are where the money is. The distance from 46% to 43% is noise you can ignore at the table. The distance from 43% to 7% is the difference between a routine flip and setting fire to a stack.

AK beats no pair before the flop. It is a coin flip against 22 through QQ, a better than 2-to-1 dog to KK, and a 13-to-1 dog to AA.

Why aces and kings sit on their own rung

Against AA your best card is in their hand. You hold one ace, they hold the other two, and the last one in the deck makes them a set rather than rescuing you. Pairing your king loses as well. What is left is three kings, a straight, or a board flush your suit plays in — about one time in fifteen.

Against KK the picture changes completely, because three aces are still live. Flop one and you are ahead of a hand that will find it very hard to fold. That single live card is the difference between 7% and 30%, which is more equity than the suited premium and the entire low-pair ladder combined.

Everything from QQ down is a coin flip

Against QQ, JJ, TT and every pair beneath them you hold two live overcards, and two live overcards are worth almost exactly half the pot. You flop at least a pair about a third of the time, and when you do you are usually in front. Add straights, add the flush when you are suited, add running two pair, and 43% to 46% is what falls out.

The number drifts upward as their pair drifts down, for a reason that has nothing to do with the flop. Small pairs get counterfeited. On Q-J-8-8 your ace kicker plays and their deuces are decoration, whereas queens on the same board are still a real hand.

Seen from the other seat this is the classic problem of a pair against two overcards: a hand that is technically ahead and hates two thirds of the deck. Queens are the pair you will run into most often when stacks go in, and AK against pocket queens deserves its own treatment because the right answer moves with stack depth.

Suited is worth three to four points

AKs against 22 is as close to a genuine coin flip as poker offers, near enough 50/50. Offsuit against the same deuces you are about 46%, and the four points in between show up at every rung of the ladder.

The flush accounts for most of that gap, but the part that matters more is what the extra suit does after the flop. Backdoor flush draws give you a reason to keep betting turns where offsuit AK has to check and give up. Equity you can actually use is worth more than equity you have to check down.

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Equity is not the same as the decision

43% sounds like a fold and usually is not, because you are almost never playing for a clean two-way pot. Dead money is already in front of you, and the price you are offered decides the hand rather than the raw equity.

Work an example. You are 100bb deep, you open to 2.5bb on the BTN, the BB 3-bets to 11bb, you 4-bet to 24bb and they shove for 100bb. You are calling 76bb into a pot of 124bb, so the final pot is 200bb and you need 38% to break even.

Against a shoving range of QQ+ and AK you hold about 30%. That is a clear fold. Widen them to JJ, TT and AQs and you are past 38%, and the identical call turns profitable. Your hand did not change; their range did.

A pot odds calculator turns any shove into that break-even percentage in seconds, and a poker equity calculator gives you the other half of the comparison against a full range rather than a single hand. Guess both numbers first, then check them — the gap between your guess and the answer is the part worth studying.

Facing a 4-bet, in practice

Two adjustments do most of the work at the table.

Stack depth changes everything. At 40bb the pot odds on a shove are so good that AK is a routine call against almost any 4-betting range. At 200bb the same range makes calling off a genuine error, because the price is worse and the hands that beat you are the ones happy to play a huge pot.

Suitedness changes the plan, not just the number. AKs is comfortable calling a 4-bet and playing a flop in position. AKo at 100bb is closer to a 5-bet-or-fold hand, because it flops well enough to continue but badly enough to be dominated by the only hands that call.

Their sizing leaks information. A small 4-bet from a player who never bluffs is worse news than a big one from someone who 4-bets a polarised range. The full decision tree is set out in how to play ace king preflop.

When you miss the flop

Two flops in three, you will hit nothing. Against an underpair you now have six clean outs, which is about 12% on the next card and 24% by the river under the rule of 2 and 4. That is not enough to call a real bet twice.

The way AK earns money on those boards is not by improving. It is by betting the flop with a hand that has six outs and two overcards against a range full of small pairs and missed broadways, then folding when the small pair does not fold. Ace-high is a betting hand or a folding hand, rarely a calling one.

The exception is the river, where ace-high beats every busted draw in their range and they know it. If they bet small into a board where nothing got there, your six dead outs are irrelevant and the only question is the price. Against a third-pot river bet you need 20%, and a hand that beats every bluff clears that easily.

The short version

  1. Nothing beats a pair before the flop, and AK is no exception. Treat every all-in as a coin flip at best.
  2. The ladder has three rungs. Roughly 45% against 22 to JJ, 30% against KK, 7% against AA.
  3. Their range decides, not their hand. QQ+ and AK is a fold at 100bb; add JJ, TT and AQs and it is a call.
  4. Suited AK is a different hand. Four points of raw equity and far better playability on turns you miss.
  5. Price before equity, always. Work out what the shove demands, then check whether their range gives it to you.

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Frequently asked questions

What is AK equity against pocket pairs?

AK offsuit holds about 43% against QQ, JJ and TT, rising to roughly 46% against the smallest pairs. Against KK it drops to about 30%, and against AA to about 7%. Suited AK adds three to four points at every rung.

Is AK ever a favourite against a pocket pair?

No. AK is behind every pocket pair in the deck before the flop. AKs against 22 is the closest it gets at almost exactly 50/50, and offsuit against the same hand you are around 46%.

Why is AK only 7% against pocket aces?

You hold one ace and they hold the other two, so the last ace in the deck makes them a set rather than saving you. Pairing your king loses to aces as well. You are left needing three kings, a straight, or a board flush your suit plays in.

Should you call an all-in with AK against a pocket pair?

It depends entirely on their range and the price. Against a shoving range of QQ+ and AK you hold roughly 30%, which is a fold against most 4-bet sizes at 100bb. Widen that range to JJ, TT and AQs and the same call becomes profitable.

Does suited AK matter against pocket pairs?

Yes, and by more than the flush alone. AKs gains three to four points of raw equity at every rung, and the extra suit also produces backdoor flush draws that let you keep betting on turns where offsuit AK has to give up.

Try it yourself

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