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AKs vs ATs

AKs
VS
ATs
70.9%
equity for AKs — ATs takes 29.1%

Domination — a shared rank turns this into a kicker fight, and kicker fights are lopsided.

AKs Win
68.8%
Tie
4.2%
AKs Lose
27.0%
Card combinations
12
AKs vs random
67.2% · #8
ATs vs random
64.6% · #13
Breakdown

Win, tie and loss for AKs

Win 68.8%Lose 27.0%

When AKs and ATs get all in before the flop, AKs wins 70.9% of the time and ATs takes 29.1%. Broken down, AKs wins outright 68.8%, chops 4.2% and loses 27.0% — a margin of 41.8 points. Domination — a shared rank turns this into a kicker fight, and kicker fights are lopsided.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 70.9% (for example As Ks against Ah Th); with no shared suit it is 70.9% (As Ks against Ah Th). That is a spread of 0 points across the 12 distinct card combinations, and it comes almost entirely from whether the two hands are fighting over the same flush.

Add a third player holding a random hand and the split becomes AKs 48.9%, ATs 24.9%, random 26.2%. AKs gives up 22 points and ATs gives up 4.2, so the favourite loses more than the underdog does. Extra players always eat into the leader's share faster than into anyone else's.

Taken on their own, AKs is worth 67.2% against a random hand (rank 8 of 169) and ATs is worth 64.6% (rank 13). The gap between them in the ranking is only 2.6 points, yet head to head the gap is 41.8 points — a reminder that a ranking table and a direct matchup are two different questions.

Framed as a run of one hundred identical all-ins, AKs scoops roughly 69 pots, splits about 4, and loses the remaining 27. Against eight random opponents rather than this one specific hand, AKs would be down to 22.4% and ATs to 18.9%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From ATs's side, 29.1% is the break-even point for calling an all-in at 2.44:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 29.1% of the pot you are playing for. AKs holds the other 70.9% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 12 card combinations with five board cards still to come — there is no fold equity in it, so the value of shoving in practice is usually higher than the raw percentage suggests. Second, it assumes ATs really does hold exactly ATs; against the wider range a player would actually get all in with, AKs's 70.9% moves. Use the individual pages for AKs and ATs to see how each of them fares against all 168 other holdings before treating this single pairing as the whole picture.

By shared suits

Overlapping suits move the number

200,000 simulated showdowns per condition. The example column shows one concrete four-card layout.

ConditionExampleCombosAKs EquityWinTieLose
No shared suitAs Ks vs Ah Th1270.9%68.8%4.2%27.0%
Three-way

Adding a random third hand

200,000 simulated showdowns, with the third hand dealt at random each time.

AKs
48.9%
vs heads-up -22.0pt
ATs
24.9%
vs heads-up -4.2pt
Random third hand
26.2%
Player count

At a bigger table

Random opponentsAKsATs
167.2%64.6%
250.3%47.0%
435.4%31.0%
822.4%18.9%

Related

FAQ

AKs or ATs — which is ahead preflop?

AKs is the favourite. AKs takes 70.9% and ATs 29.1%, a margin of 41.8 points, with 4.2% of hands ending in a chop.

Do the suits change AKs vs ATs?

Yes. With no shared suit it is 70.9%, and with no shared suit it is 70.9% — a swing of up to 0 points.

What happens three-way?

With one extra random hand in the pot the split is AKs 48.9%, ATs 24.9%, random 26.2%. AKs drops 22 points compared with heads-up.

433 words / 26 distinct figures — Method