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AA vs KQo

AA
VS
KQo
87.1%
equity for AA — KQo takes 12.9%

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

AA Win
86.9%
Tie
0.4%
AA Lose
12.7%
Card combinations
72
AA vs random
85.2% · #1
KQo vs random
61.5% · #23
Breakdown

Win, tie and loss for AA

Win 86.9%Lose 12.7%

When AA and KQo get all in before the flop, AA wins 87.1% of the time and KQo takes 12.9%. Broken down, AA wins outright 86.9%, chops 0.4% and loses 12.7% — a margin of 74.2 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 Kd Qc); with both suits shared it is 87.9% (As Ah against Ks Qh). That is a spread of 1.57 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 74.5%, KQo 12.2%, random 13.4%. AA gives up 12.7 points and KQo gives up 0.7, 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 KQo is worth 61.5% (rank 23). The gap between them in the ranking is only 23.7 points, yet head to head the gap is 74.2 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, 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 KQo to 16.7%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From KQo's side, 12.9% is the break-even point for calling an all-in at 6.75:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 12.9% of the pot you are playing for. AA holds the other 87.1% 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 KQo really does hold exactly KQo; against the wider range a player would actually get all in with, AA's 87.1% moves. Use the individual pages for AA and KQo 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 Kd Qc1286.3%86.2%0.3%13.5%
One shared suitAs Ah vs Ks Qd4887.1%86.9%0.4%12.7%
Both suits sharedAs Ah vs Ks Qh1287.9%87.6%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
74.5%
vs heads-up -12.7pt
KQo
12.2%
vs heads-up -0.7pt
Random third hand
13.4%
Player count

At a bigger table

Random opponentsAAKQo
185.2%61.5%
273.5%44.4%
455.9%29.2%
834.5%16.7%

Related

FAQ

AA or KQo — which is ahead preflop?

AA is the favourite. AA takes 87.1% and KQo 12.9%, a margin of 74.2 points, with 0.4% of hands ending in a chop.

Do the suits change AA vs KQo?

Yes. With no shared suit it is 86.3%, and with both suits shared it is 87.9% — a swing of up to 1.57 points.

What happens three-way?

With one extra random hand in the pot the split is AA 74.5%, KQo 12.2%, random 13.4%. AA drops 12.7 points compared with heads-up.

427 words / 28 distinct figures — Method