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AQo vs AJo

AQo
VS
AJo
73.9%
equity for AQo — AJo takes 26.1%

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

AQo Win
71.0%
Tie
5.8%
AQo Lose
23.2%
Card combinations
108
AQo vs random
64.4% · #14
AJo vs random
63.6% · #15
Breakdown

Win, tie and loss for AQo

Win 71.0%Lose 23.2%

When AQo and AJo get all in before the flop, AQo wins 73.9% of the time and AJo takes 26.1%. Broken down, AQo wins outright 71.0%, chops 5.8% and loses 23.2% — a margin of 47.8 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 73.5% (for example As Qh against Ad Jc); with both suits shared it is 74.2% (As Qh against Ah Js). That is a spread of 0.68 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 AQo 47.4%, AJo 22.1%, random 30.5%. AQo gives up 26.5 points and AJo gives up 4, 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, AQo is worth 64.4% against a random hand (rank 14 of 169) and AJo is worth 63.6% (rank 15). The gap between them in the ranking is only 0.8 points, yet head to head the gap is 47.8 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, AQo scoops roughly 71 pots, splits about 6, and loses the remaining 23. Against eight random opponents rather than this one specific hand, AQo would be down to 17.5% and AJo to 16.1%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From AJo's side, 26.1% is the break-even point for calling an all-in at 2.83:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 26.1% of the pot you are playing for. AQo holds the other 73.9% 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 AJo really does hold exactly AJo; against the wider range a player would actually get all in with, AQo's 73.9% moves. Use the individual pages for AQo and AJo 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.

ConditionExampleCombosAQo EquityWinTieLose
No shared suitAs Qh vs Ad Jc2473.5%70.7%5.7%23.6%
One shared suitAs Qh vs Ah Jd7274.0%71.0%5.9%23.1%
Both suits sharedAs Qh vs Ah Js1274.2%71.3%5.8%22.9%
Three-way

Adding a random third hand

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

AQo
47.4%
vs heads-up -26.5pt
AJo
22.1%
vs heads-up -4.0pt
Random third hand
30.5%
Player count

At a bigger table

Random opponentsAQoAJo
164.4%63.6%
246.9%45.4%
430.3%28.7%
817.5%16.1%

Related

FAQ

AQo or AJo — which is ahead preflop?

AQo is the favourite. AQo takes 73.9% and AJo 26.1%, a margin of 47.8 points, with 5.8% of hands ending in a chop.

Do the suits change AQo vs AJo?

Yes. With no shared suit it is 73.5%, and with both suits shared it is 74.2% — a swing of up to 0.68 points.

What happens three-way?

With one extra random hand in the pot the split is AQo 47.4%, AJo 22.1%, random 30.5%. AQo drops 26.5 points compared with heads-up.

433 words / 29 distinct figures — Method