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QQ vs AKo

QQ
VS
AKo
56.6%
equity for QQ — AKo takes 43.4%

Pair against two overcards — the classic coinflip, with the pair a shade ahead.

QQ Win
56.4%
Tie
0.4%
QQ Lose
43.1%
Card combinations
72
QQ vs random
79.9% · #3
AKo vs random
65.4% · #12
Breakdown

Win, tie and loss for QQ

Win 56.4%Lose 43.1%

When QQ and AKo get all in before the flop, QQ wins 56.6% of the time and AKo takes 43.4%. Broken down, QQ wins outright 56.4%, chops 0.4% and loses 43.1% — a margin of 13.3 points. Pair against two overcards — the classic coinflip, with the pair a shade ahead.

The same matchup shifts depending on how the suits overlap. With both suits shared the number is 56.3% (for example Qs Qh against As Kh); with no shared suit it is 57.1% (Qs Qh against Ad Kc). That is a spread of 0.82 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 QQ 48.5%, AKo 37.4%, random 14.1%. QQ gives up 8.2 points and AKo gives up 6, 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, QQ is worth 79.9% against a random hand (rank 3 of 169) and AKo is worth 65.4% (rank 12). The gap between them in the ranking is only 14.5 points, yet head to head the gap is 13.3 points, which is roughly what the ranking table predicts.

Framed as a run of one hundred identical all-ins, QQ scoops roughly 56 pots, splits about one, and loses the remaining 43. Against eight random opponents rather than this one specific hand, QQ would be down to 24.5% and AKo to 19.1%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From AKo's side, 43.4% is the break-even point for calling an all-in at 1.3:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 43.4% of the pot you are playing for. QQ holds the other 56.6% 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 AKo really does hold exactly AKo; against the wider range a player would actually get all in with, QQ's 56.6% moves. Use the individual pages for QQ and AKo 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.

ConditionExampleCombosQQ EquityWinTieLose
No shared suitQs Qh vs Ad Kc1257.1%56.9%0.3%42.8%
One shared suitQs Qh vs As Kd4856.6%56.4%0.4%43.1%
Both suits sharedQs Qh vs As Kh1256.3%56.0%0.5%43.5%
Three-way

Adding a random third hand

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

QQ
48.5%
vs heads-up -8.2pt
AKo
37.4%
vs heads-up -6.0pt
Random third hand
14.1%
Player count

At a bigger table

Random opponentsQQAKo
179.9%65.4%
265.0%47.9%
444.9%32.4%
824.5%19.1%

Related

FAQ

QQ or AKo — which is ahead preflop?

QQ is the favourite. QQ takes 56.6% and AKo 43.4%, a margin of 13.3 points, with 0.4% of hands ending in a chop.

Do the suits change QQ vs AKo?

Yes. With both suits shared it is 56.3%, and with no shared suit it is 57.1% — a swing of up to 0.82 points.

What happens three-way?

With one extra random hand in the pot the split is QQ 48.5%, AKo 37.4%, random 14.1%. QQ drops 8.2 points compared with heads-up.

424 words / 28 distinct figures — Method