AQo vs 33
Pair against two overcards — the classic coinflip, with the pair a shade ahead.
- AQo Win
- 46.7%
- Tie
- 0.5%
- AQo Lose
- 52.7%
- Card combinations
- 72
- AQo vs random
- 64.4% · #14
- 33 vs random
- 53.7% · #67
Win, tie and loss for AQo
When AQo and 33 get all in before the flop, AQo wins 47.0% of the time and 33 takes 53.0%. Broken down, AQo wins outright 46.7%, chops 0.5% and loses 52.7% — a margin of -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 no shared suit the number is 46.6% (for example As Qh against 3d 3c); with both suits shared it is 47.5% (As Qh against 3s 3h). That is a spread of 0.88 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 AQo 39.3%, 33 33.8%, random 26.9%. AQo gives up 7.7 points and 33 gives up 19.2, 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, AQo is worth 64.4% against a random hand (rank 14 of 169) and 33 is worth 53.7% (rank 67). The gap between them in the ranking is only 10.7 points, yet head to head the gap is 6 points, which is roughly what the ranking table predicts.
Framed as a run of one hundred identical all-ins, AQo scoops roughly 47 pots, splits about one, and loses the remaining 53. Against eight random opponents rather than this one specific hand, AQo would be down to 17.5% 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, 53.0% is the break-even point for calling an all-in at 0.89:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 53.0% of the pot you are playing for. AQo holds the other 47.0% 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 33 really does hold exactly 33; against the wider range a player would actually get all in with, AQo's 47.0% moves. Use the individual pages for AQo 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 | AQo Equity | Win | Tie | Lose |
|---|---|---|---|---|---|---|
| No shared suit | As Qh vs 3d 3c | 12 | 46.6% | 46.3% | 0.5% | 53.2% |
| One shared suit | As Qh vs 3s 3d | 48 | 47.0% | 46.7% | 0.5% | 52.7% |
| Both suits shared | As Qh vs 3s 3h | 12 | 47.5% | 47.1% | 0.6% | 52.2% |
Who leads on each street, and how often it flips
Exact counts from the 48 unseen cards: all 17,296 flops × 990 turn-and-river pairs, and all 194,580 four-card turns × 44 rivers, for every suit combination — no simulation.
When the three flop cards are out, AQo is ahead 31.0% of the time and 33 69.0%, and the two hands are never level on the flop. "Ahead" means the better best-five-card hand from the cards showing plus the two hole cards; draws are not counted.
When AQo leads on the flop, 33 comes back on the turn and river 10.7% of the time. When 33 leads on the flop, AQo turns it around 27.7% of the time. The hand in front holds on to win 77.0% of the time from the flop and 86.7% from the turn (level spots left out).
With the turn out, AQo leads 39.0% and 33 61.0%. Counted exhaustively, AQo finishes with 46.98% equity (the 47.0% at the top of the page is a 200,000-hand simulation).
| After the flop | How often | AQo wins | Tie | 33 wins |
|---|---|---|---|---|
| AQo ahead | 31.0% | 89.0% | 0.343% | 10.7% |
| Level (same hand) | 0% | Never happens | ||
| 33 ahead | 69.0% | 27.7% | 0.634% | 71.7% |
| After the turn | How often | AQo wins | Tie | 33 wins |
|---|---|---|---|---|
| AQo ahead | 39.0% | 93.3% | 0.462% | 6.24% |
| Level (same hand) | 0% | Never happens | ||
| 33 ahead | 61.0% | 17.0% | 0.596% | 82.4% |
"Ahead" compares the best five-card hands available at that point (draws are not counted). "Flips" is the share of leads that end in a loss, with level spots left out.
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 | 33 |
|---|---|---|
| 1 | 64.4% | 53.7% |
| 2 | 46.9% | 33.1% |
| 4 | 30.3% | 19.1% |
| 8 | 17.5% | 12.8% |
Related
FAQ
AQo or 33 — which is ahead preflop?
33 is the favourite. AQo takes 47.0% and 33 53.0%, a margin of 6 points, with 0.5% of hands ending in a chop.
Do the suits change AQo vs 33?
Yes. With no shared suit it is 46.6%, and with both suits shared it is 47.5% — a swing of up to 0.88 points.
What happens three-way?
With one extra random hand in the pot the split is AQo 39.3%, 33 33.8%, random 26.9%. AQo drops 7.7 points compared with heads-up.
How often does the flop leader lose in AQo vs 33?
The hand ahead on the flop goes on to lose 22.4% of the time (level spots left out). When AQo leads, 33 comes back 10.7%. When 33 leads, AQo comes back 27.7%. Exact counts over every flop, turn and river.
424 words / 30 distinct figures — Method