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AKo vs ATs

AKo
VS
ATs
69.5%
equity for AKo — ATs takes 30.5%

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

AKo Win
67.3%
Tie
4.4%
AKo Lose
28.3%
Card combinations
36
AKo vs random
65.4% · #12
ATs vs random
64.6% · #13
Breakdown

Win, tie and loss for AKo

Win 67.3%Lose 28.3%

When AKo and ATs get all in before the flop, AKo wins 69.5% of the time and ATs takes 30.5%. Broken down, AKo wins outright 67.3%, chops 4.4% and loses 28.3% — a margin of 39 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 69.1% (for example As Kh against Ad Td); with one shared suit it is 70.3% (As Kh against Ah Th). That is a spread of 1.17 points across the 36 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 AKo 46.3%, ATs 25.7%, random 28.0%. AKo gives up 23.2 points and ATs gives up 4.8, 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, AKo is worth 65.4% against a random hand (rank 12 of 169) and ATs is worth 64.6% (rank 13). The gap between them in the ranking is only 0.8 points, yet head to head the gap is 39 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, AKo scoops roughly 67 pots, splits about 4, and loses the remaining 28. Against eight random opponents rather than this one specific hand, AKo would be down to 19.1% 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, 30.5% is the break-even point for calling an all-in at 2.28:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 30.5% of the pot you are playing for. AKo holds the other 69.5% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 36 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, AKo's 69.5% moves. Use the individual pages for AKo 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.

ConditionExampleCombosAKo EquityWinTieLose
No shared suitAs Kh vs Ad Td2469.1%66.9%4.3%28.7%
One shared suitAs Kh vs Ah Th1270.3%68.0%4.5%27.5%
Three-way

Adding a random third hand

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

AKo
46.3%
vs heads-up -23.2pt
ATs
25.7%
vs heads-up -4.8pt
Random third hand
28.0%
Player count

At a bigger table

Random opponentsAKoATs
165.4%64.6%
247.9%47.0%
432.4%31.0%
819.1%18.9%

Related

FAQ

AKo or ATs — which is ahead preflop?

AKo is the favourite. AKo takes 69.5% and ATs 30.5%, a margin of 39 points, with 4.4% of hands ending in a chop.

Do the suits change AKo vs ATs?

Yes. With no shared suit it is 69.1%, and with one shared suit it is 70.3% — a swing of up to 1.17 points.

What happens three-way?

With one extra random hand in the pot the split is AKo 46.3%, ATs 25.7%, random 28.0%. AKo drops 23.2 points compared with heads-up.

433 words / 29 distinct figures — Method