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AA vs 32o

AA
VS
32o
87.2%
equity for AA — 32o takes 12.8%

Overpair against two undercards — about 80/20 for the pair.

AA Win
86.9%
Tie
0.5%
AA Lose
12.6%
Card combinations
72
AA vs random
85.2% · #1
32o vs random
32.3% · #169
Breakdown

Win, tie and loss for AA

Win 86.9%Lose 12.6%

When AA and 32o get all in before the flop, AA wins 87.2% of the time and 32o takes 12.8%. Broken down, AA wins outright 86.9%, chops 0.5% and loses 12.6% — a margin of 74.4 points. Overpair against two undercards — about 80/20 for the pair.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 86.3% (for example As Ah against 3d 2c); with both suits shared it is 88.0% (As Ah against 3s 2h). That is a spread of 1.66 points across the 72 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 AA 74.7%, 32o 10.8%, random 14.5%. AA gives up 12.5 points and 32o gives up 2, 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, AA is worth 85.2% against a random hand (rank 1 of 169) and 32o is worth 32.3% (rank 169). The gap between them in the ranking is only 52.9 points, yet head to head the gap is 74.4 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, AA scoops roughly 87 pots, splits about one, and loses the remaining 13. Against eight random opponents rather than this one specific hand, AA would be down to 34.5% 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, 12.8% is the break-even point for calling an all-in at 6.81:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 12.8% of the pot you are playing for. AA holds the other 87.2% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 72 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, AA's 87.2% moves. Use the individual pages for AA 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.

ConditionExampleCombosAA EquityWinTieLose
No shared suitAs Ah vs 3d 2c1286.3%86.1%0.5%13.4%
One shared suitAs Ah vs 3s 2d4887.2%86.9%0.5%12.5%
Both suits sharedAs Ah vs 3s 2h1288.0%87.7%0.5%11.8%
Three-way

Adding a random third hand

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

AA
74.7%
vs heads-up -12.5pt
32o
10.8%
vs heads-up -2.0pt
Random third hand
14.5%
Player count

At a bigger table

Random opponentsAA32o
185.2%32.3%
273.5%19.3%
455.9%11.1%
834.5%6.2%

Related

FAQ

AA or 32o — which is ahead preflop?

AA is the favourite. AA takes 87.2% and 32o 12.8%, a margin of 74.4 points, with 0.5% of hands ending in a chop.

Do the suits change AA vs 32o?

Yes. With no shared suit it is 86.3%, and with both suits shared it is 88.0% — a swing of up to 1.66 points.

What happens three-way?

With one extra random hand in the pot the split is AA 74.7%, 32o 10.8%, random 14.5%. AA drops 12.5 points compared with heads-up.

427 words / 30 distinct figures — Method