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AQs vs 32o

AQs
VS
32o
67.7%
equity for AQs — 32o takes 32.3%

Two unpaired hands with no shared rank — the higher cards usually run 60–65%.

AQs Win
67.4%
Tie
0.6%
AQs Lose
32.0%
Card combinations
48
AQs vs random
66.2% · #10
32o vs random
32.3% · #169
Breakdown

Win, tie and loss for AQs

Win 67.4%Lose 32.0%

When AQs and 32o get all in before the flop, AQs wins 67.7% of the time and 32o takes 32.3%. Broken down, AQs wins outright 67.4%, chops 0.6% and loses 32.0% — a margin of 35.3 points. Two unpaired hands with no shared rank — the higher cards usually run 60–65%.

The same matchup shifts depending on how the suits overlap. With one shared suit the number is 67.5% (for example As Qs against 3s 2h); with no shared suit it is 67.8% (As Qs against 3h 2d). That is a spread of 0.35 points across the 48 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 51.1%, 32o 20.3%, random 28.6%. AQs gives up 16.6 points and 32o gives up 12, 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 32o is worth 32.3% (rank 169). The gap between them in the ranking is only 33.9 points, yet head to head the gap is 35.3 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 67 pots, splits about one, and loses the remaining 32. Against eight random opponents rather than this one specific hand, AQs would be down to 21.1% and 32o to 6.2%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 32o's side, 32.3% is the break-even point for calling an all-in at 2.1:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 32.3% of the pot you are playing for. AQs holds the other 67.7% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 48 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 32o really does hold exactly 32o; against the wider range a player would actually get all in with, AQs's 67.7% moves. Use the individual pages for AQs and 32o 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 3h 2d2467.8%67.5%0.6%31.9%
One shared suitAs Qs vs 3s 2h2467.5%67.2%0.7%32.2%
Three-way

Adding a random third hand

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

AQs
51.1%
vs heads-up -16.6pt
32o
20.3%
vs heads-up -12.0pt
Random third hand
28.6%
Player count

At a bigger table

Random opponentsAQs32o
166.2%32.3%
249.7%19.3%
434.0%11.1%
821.1%6.2%

Related

FAQ

AQs or 32o — which is ahead preflop?

AQs is the favourite. AQs takes 67.7% and 32o 32.3%, a margin of 35.3 points, with 0.6% of hands ending in a chop.

Do the suits change AQs vs 32o?

Yes. With one shared suit it is 67.5%, and with no shared suit it is 67.8% — a swing of up to 0.35 points.

What happens three-way?

With one extra random hand in the pot the split is AQs 51.1%, 32o 20.3%, random 28.6%. AQs drops 16.6 points compared with heads-up.

431 words / 30 distinct figures — Method