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AQs vs AQo

AQs
VS
AQo
52.5%
equity for AQs — AQo takes 47.5%

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

AQs Win
7.2%
Tie
90.7%
AQs Lose
2.1%
Card combinations
24
AQs vs random
66.2% · #10
AQo vs random
64.4% · #14
Breakdown

Win, tie and loss for AQs

Tie 90.7%

When AQs and AQo get all in before the flop, AQs wins 52.5% of the time and AQo takes 47.5%. Broken down, AQs wins outright 7.2%, chops 90.7% and loses 2.1% — a margin of 5.1 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 52.5% (for example As Qs against Ah Qd); with no shared suit it is 52.5% (As Qs against Ah Qd). That is a spread of 0 points across the 24 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 AQs 33.9%, AQo 29.0%, random 37.1%. AQs gives up 18.6 points and AQo gives up 18.5, 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, AQs is worth 66.2% against a random hand (rank 10 of 169) and AQo is worth 64.4% (rank 14). The gap between them in the ranking is only 1.8 points, yet head to head the gap is 5.1 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, AQs scoops roughly 7 pots, splits about 91, and loses the remaining 2. Against eight random opponents rather than this one specific hand, AQs would be down to 21.1% 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, 47.5% is the break-even point for calling an all-in at 1.11:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 47.5% of the pot you are playing for. AQs holds the other 52.5% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 24 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, AQs's 52.5% moves. Use the individual pages for AQs 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.

ConditionExampleCombosAQs EquityWinTieLose
No shared suitAs Qs vs Ah Qd2452.5%7.2%90.7%2.1%
Three-way

Adding a random third hand

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

AQs
33.9%
vs heads-up -18.6pt
AQo
29.0%
vs heads-up -18.5pt
Random third hand
37.1%
Player count

At a bigger table

Random opponentsAQsAQo
166.2%64.4%
249.7%46.9%
434.0%30.3%
821.1%17.5%

Related

FAQ

AQs or AQo — which is ahead preflop?

AQs is the favourite. AQs takes 52.5% and AQo 47.5%, a margin of 5.1 points, with 90.7% of hands ending in a chop.

Do the suits change AQs vs AQo?

Yes. With no shared suit it is 52.5%, and with no shared suit it is 52.5% — a swing of up to 0 points.

What happens three-way?

With one extra random hand in the pot the split is AQs 33.9%, AQo 29.0%, random 37.1%. AQs drops 18.6 points compared with heads-up.

433 words / 27 distinct figures — Method