QQ vs AQo

When QQ and AQo get all in before the flop, QQ wins 69.6% of the time and AQo takes 30.4%. Broken down, QQ wins outright 69.0%, chops 1.3% and loses 29.7% — a margin of 39.2 points. Pair against one overcard — roughly 70/30 in the pair's favour.

The same matchup shifts depending on how the suits overlap. With one shared suit the number is 69.5% (for example Qs Qh against As Qd); with no shared suit it is 69.9% (Qs Qh against Ad Qc). That is a spread of 0.37 points across the 36 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 56.4%, AQo 26.1%, random 17.5%. QQ gives up 13.2 points and AQo gives up 4.3, 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 AQo is worth 64.4% (rank 14). The gap between them in the ranking is only 15.5 points, yet head to head the gap is 39.2 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, QQ scoops roughly 69 pots, splits about 1, and loses the remaining 30. Against eight random opponents rather than this one specific hand, QQ would be down to 24.5% 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, 30.4% is the break-even point for calling an all-in at 2.29:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 30.4% of the pot you are playing for. QQ holds the other 69.6% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 36 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, QQ's 69.6% moves. Use the individual pages for QQ and AQo to see how each of them fares against all 168 other holdings before treating this single pairing as the whole picture.