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AKo vs AQo

AKo
VS
AQo
74.4%
equity for AKo — AQo takes 25.6%

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

AKo Win
72.0%
Tie
4.7%
AKo Lose
23.2%
Card combinations
108
AKo vs random
65.4% · #12
AQo vs random
64.4% · #14
Breakdown

Win, tie and loss for AKo

Win 72.0%Lose 23.2%

When AKo and AQo get all in before the flop, AKo wins 74.4% of the time and AQo takes 25.6%. Broken down, AKo wins outright 72.0%, chops 4.7% and loses 23.2% — a margin of 48.8 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 73.8% (for example As Kh against Ad Qc); with both suits shared it is 74.6% (As Kh against Ah Qs). That is a spread of 0.8 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 48.6%, AQo 22.1%, random 29.3%. AKo gives up 25.8 points and AQo gives up 3.5, 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 AQo is worth 64.4% (rank 14). The gap between them in the ranking is only 1 points, yet head to head the gap is 48.8 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, AKo scoops roughly 72 pots, splits about 5, and loses the remaining 23. Against eight random opponents rather than this one specific hand, AKo would be down to 19.1% and AQo to 17.5%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From AQo's side, 25.6% is the break-even point for calling an all-in at 2.91:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 25.6% of the pot you are playing for. AKo holds the other 74.4% 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 AQo really does hold exactly AQo; against the wider range a player would actually get all in with, AKo's 74.4% moves. Use the individual pages for AKo and AQo 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 Qc2473.8%71.5%4.7%23.8%
One shared suitAs Kh vs Ah Qd7274.6%72.2%4.7%23.1%
Both suits sharedAs Kh vs Ah Qs1274.6%72.3%4.8%23.0%
Three-way

Adding a random third hand

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

AKo
48.6%
vs heads-up -25.8pt
AQo
22.1%
vs heads-up -3.5pt
Random third hand
29.3%
Player count

At a bigger table

Random opponentsAKoAQo
165.4%64.4%
247.9%46.9%
432.4%30.3%
819.1%17.5%

Related

FAQ

AKo or AQo — which is ahead preflop?

AKo is the favourite. AKo takes 74.4% and AQo 25.6%, a margin of 48.8 points, with 4.7% of hands ending in a chop.

Do the suits change AKo vs AQo?

Yes. With no shared suit it is 73.8%, and with both suits shared it is 74.6% — a swing of up to 0.8 points.

What happens three-way?

With one extra random hand in the pot the split is AKo 48.6%, AQo 22.1%, random 29.3%. AKo drops 25.8 points compared with heads-up.

433 words / 28 distinct figures — Method