AQs vs 33
Pair against two overcards — the classic coinflip, with the pair a shade ahead.
- AQs Win
- 49.4%
- Tie
- 0.6%
- AQs Lose
- 50.0%
- Card combinations
- 24
- AQs vs random
- 66.2% · #10
- 33 vs random
- 53.7% · #67
Win, tie and loss for AQs
When AQs and 33 get all in before the flop, AQs wins 49.7% of the time and 33 takes 50.3%. Broken down, AQs wins outright 49.4%, chops 0.6% and loses 50.0% — a margin of -0.6 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 one shared suit the number is 49.5% (for example As Qs against 3s 3h); with no shared suit it is 49.9% (As Qs against 3h 3d). That is a spread of 0.37 points across the 24 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 AQs 42.0%, 33 32.5%, random 25.5%. AQs gives up 7.7 points and 33 gives up 17.9, so the underdog loses more than the favourite does. Extra players always eat into the leader's share faster than into anyone else's.
Taken on their own, AQs is worth 66.2% against a random hand (rank 10 of 169) and 33 is worth 53.7% (rank 67). The gap between them in the ranking is only 12.5 points, yet head to head the gap is 0.6 points, which is roughly what the ranking table predicts.
Framed as a run of one hundred identical all-ins, AQs scoops roughly 49 pots, splits about one, and loses the remaining 50. Against eight random opponents rather than this one specific hand, AQs would be down to 21.1% and 33 to 12.8%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.
From 33's side, 50.3% is the break-even point for calling an all-in at 0.99:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 50.3% of the pot you are playing for. AQs holds the other 49.7% of that same pot.
Two caveats keep this figure honest. First, it is showdown equity across all 24 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 33 really does hold exactly 33; against the wider range a player would actually get all in with, AQs's 49.7% moves. Use the individual pages for AQs and 33 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 | AQs Equity | Win | Tie | Lose |
|---|---|---|---|---|---|---|
| No shared suit | As Qs vs 3h 3d | 12 | 49.9% | 49.6% | 0.6% | 49.9% |
| One shared suit | As Qs vs 3s 3h | 12 | 49.5% | 49.2% | 0.6% | 50.2% |
Adding a random third hand
200,000 simulated showdowns, with the third hand dealt at random each time.
At a bigger table
| Random opponents | AQs | 33 |
|---|---|---|
| 1 | 66.2% | 53.7% |
| 2 | 49.7% | 33.1% |
| 4 | 34.0% | 19.1% |
| 8 | 21.1% | 12.8% |
Related
FAQ
AQs or 33 — which is ahead preflop?
33 is the favourite. AQs takes 49.7% and 33 50.3%, a margin of 0.6 points, with 0.6% of hands ending in a chop.
Do the suits change AQs vs 33?
Yes. With one shared suit it is 49.5%, and with no shared suit it is 49.9% — a swing of up to 0.37 points.
What happens three-way?
With one extra random hand in the pot the split is AQs 42.0%, 33 32.5%, random 25.5%. AQs drops 7.7 points compared with heads-up.
424 words / 29 distinct figures — Method