AA vs AQo

When AA and AQo get all in before the flop, AA wins 92.8% of the time and AQo takes 7.2%. Broken down, AA wins outright 92.1%, chops 1.3% and loses 6.6% — a margin of 85.6 points. Pair against one overcard — roughly 70/30 in the pair's favour.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 92.1% (for example As Ah against Ad Qc); with one shared suit it is 93.1% (As Ah against Ad Qs). That is a spread of 1.04 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 AA 78.1%, AQo 6.9%, random 15.0%. AA gives up 14.7 points and AQo gives up 0.3, 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, AA is worth 85.2% against a random hand (rank 1 of 169) and AQo is worth 64.4% (rank 14). The gap between them in the ranking is only 20.8 points, yet head to head the gap is 85.6 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 92 pots, splits about 1, and loses the remaining 7. Against eight random opponents rather than this one specific hand, AA would be down to 34.5% 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, 7.2% is the break-even point for calling an all-in at 12.89:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 7.2% of the pot you are playing for. AA holds the other 92.8% 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, AA's 92.8% moves. Use the individual pages for AA and AQo to see how each of them fares against all 168 other holdings before treating this single pairing as the whole picture.