AQo vs 76s
Two unpaired hands with no shared rank — the higher cards usually run 60–65%.
- AQo Win
- 58.5%
- Tie
- 0.4%
- AQo Lose
- 41.0%
- Card combinations
- 48
- AQo vs random
- 64.4% · #14
- 76s vs random
- 45.5% · #115
Win, tie and loss for AQo
When AQo and 76s get all in before the flop, AQo wins 58.8% of the time and 76s takes 41.3%. Broken down, AQo wins outright 58.5%, chops 0.4% and loses 41.0% — a margin of 17.5 points. Two unpaired hands with no shared rank — the higher cards usually run 60–65%.
The same matchup shifts depending on how the suits overlap. With no shared suit the number is 58.0% (for example As Qh against 7d 6d); with one shared suit it is 59.5% (As Qh against 7s 6s). That is a spread of 1.41 points across the 48 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 AQo 44.7%, 76s 31.9%, random 23.4%. AQo gives up 14.1 points and 76s gives up 9.3, 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, AQo is worth 64.4% against a random hand (rank 14 of 169) and 76s is worth 45.5% (rank 115). The gap between them in the ranking is only 18.9 points, yet head to head the gap is 17.5 points, which is roughly what the ranking table predicts.
Framed as a run of one hundred identical all-ins, AQo scoops roughly 59 pots, splits about one, and loses the remaining 41. Against eight random opponents rather than this one specific hand, AQo would be down to 17.5% and 76s to 13.3%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.
From 76s's side, 41.3% is the break-even point for calling an all-in at 1.42:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 41.3% of the pot you are playing for. AQo holds the other 58.8% of that same pot.
Two caveats keep this figure honest. First, it is showdown equity across all 48 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 76s really does hold exactly 76s; against the wider range a player would actually get all in with, AQo's 58.8% moves. Use the individual pages for AQo and 76s to see how each of them fares against all 168 other holdings before treating this single pairing as the whole picture.
Overlapping suits move the number
200,000 simulated showdowns per condition. The example column shows one concrete four-card layout.
| Condition | Example | Combos | AQo Equity | Win | Tie | Lose |
|---|---|---|---|---|---|---|
| No shared suit | As Qh vs 7d 6d | 24 | 58.0% | 57.9% | 0.4% | 41.8% |
| One shared suit | As Qh vs 7s 6s | 24 | 59.5% | 59.2% | 0.5% | 40.3% |
Adding a random third hand
200,000 simulated showdowns, with the third hand dealt at random each time.
At a bigger table
| Random opponents | AQo | 76s |
|---|---|---|
| 1 | 64.4% | 45.5% |
| 2 | 46.9% | 31.9% |
| 4 | 30.3% | 20.7% |
| 8 | 17.5% | 13.3% |
Related
FAQ
AQo or 76s — which is ahead preflop?
AQo is the favourite. AQo takes 58.8% and 76s 41.3%, a margin of 17.5 points, with 0.4% of hands ending in a chop.
Do the suits change AQo vs 76s?
Yes. With no shared suit it is 58.0%, and with one shared suit it is 59.5% — a swing of up to 1.41 points.
What happens three-way?
With one extra random hand in the pot the split is AQo 44.7%, 76s 31.9%, random 23.4%. AQo drops 14.1 points compared with heads-up.
424 words / 32 distinct figures — Method