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AJs vs AQo

AJs
VS
AQo
30.4%
equity for AJs — AQo takes 69.6%

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

AJs Win
27.6%
Tie
5.6%
AJs Lose
66.8%
Card combinations
36
AJs vs random
65.4% · #11
AQo vs random
64.4% · #14
Breakdown

Win, tie and loss for AJs

Win 27.6%Lose 66.8%

When AJs and AQo get all in before the flop, AJs wins 30.4% of the time and AQo takes 69.6%. Broken down, AJs wins outright 27.6%, chops 5.6% and loses 66.8% — a margin of -39.2 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 one shared suit the number is 29.5% (for example As Js against Ah Qs); with no shared suit it is 30.8% (As Js against Ah Qd). That is a spread of 1.32 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 AJs 26.2%, AQo 45.1%, random 28.8%. AJs gives up 4.2 points and AQo gives up 24.5, so the underdog loses more than the favourite does. Extra players always eat into the leader's share faster than into anyone else's.

Taken on their own, AJs is worth 65.4% against a random hand (rank 11 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 39.2 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, AJs scoops roughly 28 pots, splits about 6, and loses the remaining 67. Against eight random opponents rather than this one specific hand, AJs would be down to 20.1% 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, 69.6% is the break-even point for calling an all-in at 0.44:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 69.6% of the pot you are playing for. AJs holds the other 30.4% 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 AQo really does hold exactly AQo; against the wider range a player would actually get all in with, AJs's 30.4% moves. Use the individual pages for AJs 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.

ConditionExampleCombosAJs EquityWinTieLose
No shared suitAs Js vs Ah Qd2430.8%28.1%5.6%66.4%
One shared suitAs Js vs Ah Qs1229.5%26.7%5.7%67.7%
Three-way

Adding a random third hand

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

AJs
26.2%
vs heads-up -4.2pt
AQo
45.1%
vs heads-up -24.5pt
Random third hand
28.8%
Player count

At a bigger table

Random opponentsAJsAQo
165.4%64.4%
248.0%46.9%
432.2%30.3%
820.1%17.5%

Related

FAQ

AJs or AQo — which is ahead preflop?

AQo is the favourite. AJs takes 30.4% and AQo 69.6%, a margin of 39.2 points, with 5.6% of hands ending in a chop.

Do the suits change AJs vs AQo?

Yes. With one shared suit it is 29.5%, and with no shared suit it is 30.8% — a swing of up to 1.32 points.

What happens three-way?

With one extra random hand in the pot the split is AJs 26.2%, AQo 45.1%, random 28.8%. AJs drops 4.2 points compared with heads-up.

433 words / 28 distinct figures — Method