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AKo vs ATo

AKo
VS
ATo
73.8%
equity for AKo — ATo takes 26.1%

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

AKo Win
71.5%
Tie
4.7%
AKo Lose
23.8%
Card combinations
108
AKo vs random
65.4% · #12
ATo vs random
62.6% · #19
Breakdown

Win, tie and loss for AKo

Win 71.5%Lose 23.8%

When AKo and ATo get all in before the flop, AKo wins 73.8% of the time and ATo takes 26.1%. Broken down, AKo wins outright 71.5%, chops 4.7% and loses 23.8% — a margin of 47.7 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 73.5% (for example As Kh against Ad Tc); with one shared suit it is 74.0% (As Kh against Ah Td). That is a spread of 0.47 points across the 108 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 48.7%, ATo 21.3%, random 30.0%. AKo gives up 25.1 points and ATo 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 ATo is worth 62.6% (rank 19). The gap between them in the ranking is only 2.8 points, yet head to head the gap is 47.7 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 72 pots, splits about 5, and loses the remaining 24. Against eight random opponents rather than this one specific hand, AKo would be down to 19.1% and ATo to 15.2%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From ATo's side, 26.1% is the break-even point for calling an all-in at 2.82:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 26.2% of the pot you are playing for. AKo holds the other 73.8% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 108 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 ATo really does hold exactly ATo; against the wider range a player would actually get all in with, AKo's 73.8% moves. Use the individual pages for AKo and ATo 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 Tc2473.5%71.2%4.5%24.3%
One shared suitAs Kh vs Ah Td7274.0%71.6%4.7%23.7%
Both suits sharedAs Kh vs Ah Ts1273.9%71.6%4.7%23.7%
Three-way

Adding a random third hand

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

AKo
48.7%
vs heads-up -25.1pt
ATo
21.3%
vs heads-up -4.8pt
Random third hand
30.0%
Player count

At a bigger table

Random opponentsAKoATo
165.4%62.6%
247.9%44.4%
432.4%27.8%
819.1%15.2%

Related

FAQ

AKo or ATo — which is ahead preflop?

AKo is the favourite. AKo takes 73.8% and ATo 26.1%, a margin of 47.7 points, with 4.7% of hands ending in a chop.

Do the suits change AKo vs ATo?

Yes. With no shared suit it is 73.5%, and with one shared suit it is 74.0% — a swing of up to 0.47 points.

What happens three-way?

With one extra random hand in the pot the split is AKo 48.7%, ATo 21.3%, random 30.0%. AKo drops 25.1 points compared with heads-up.

433 words / 30 distinct figures — Method