AQo
47.70%
Wins 47.40%, ties 0.60%
22
52.30%
Wins 52.00%, ties 0.60%
AQo against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 47.400 | 0.603 | 51.997 | 47.702 |
| 22 | 51.997 | 0.603 | 47.400 | 52.298 |
Here an offsuit hand (AQo) meets a pocket pair (22). This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
With only 4.60 points between them, the board decides this matchup far more than the cards in hand. Ties are part of the picture: 0.60% of boards end in a split pot, and each side counts that as half a win.
Ranked by equity against a random hand, AQo is number 14 of the 169 starting hands and 22 is number 87.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 58,438,000 | 743,000 | 64,105,000 |
| 22 | 64,105,000 | 743,000 | 58,438,000 |
Exact total: 72 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AQo | 0.912 | 2.110 | 1.923 | 1.096 |
| 22 | 1.096 | 1.923 | 2.110 | 0.912 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Break the boards down by their first three cards and 22 is strongest on low rainbow flops (nine high or lower) (78.47%) and weakest on rainbow flops topped by a ten or better (46.49%). On rainbow flops topped by a ten or better and monotone flops the numbers flip and AQo is the one ahead.
| Flop | Share of flops | AQo wins | Ties | 22 wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 53.413 | 0.195 | 46.392 | 53.511 |
| Rainbow, nine or lower | 6.314 | 20.808 | 1.439 | 77.753 | 21.527 |
| Two-tone | 46.485 | 47.119 | 0.428 | 52.453 | 47.333 |
| Monotone | 5.151 | 48.980 | 2.657 | 48.363 | 50.309 |
| Paired | 17.333 | 48.796 | 0.742 | 50.462 | 49.167 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of -16.73 points for AQo, from 64.43%, and +1.97 for 22, from 50.33%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 47.702 | 64.432 | -16.730 | 0.74035 |
| AQo, rainbow, ten or higher | 53.511 | 64.432 | -10.921 | 0.83050 |
| AQo, rainbow, nine or lower | 21.527 | 64.432 | -42.905 | 0.33410 |
| AQo, two-tone | 47.333 | 64.432 | -17.099 | 0.73462 |
| AQo, monotone | 50.309 | 64.432 | -14.123 | 0.78081 |
| AQo, paired | 49.167 | 64.432 | -15.265 | 0.76308 |
| 22, all flops | 52.298 | 50.334 | +1.964 | 1.03902 |
| 22, rainbow, ten or higher | 46.489 | 50.334 | -3.845 | 0.92361 |
| 22, rainbow, nine or lower | 78.473 | 50.334 | +28.139 | 1.55905 |
| 22, two-tone | 52.667 | 50.334 | +2.333 | 1.04635 |
| 22, monotone | 49.691 | 50.334 | -0.643 | 0.98723 |
| 22, paired | 50.833 | 50.334 | +0.499 | 1.00991 |
Does a shared suit matter?
The suit split reads 52.22% for 22 with a shared suit and 52.69% without one. 22 does better with no shared suit, by 0.47 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | 22 wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 47.476 | 0.610 | 51.914 | 47.781 |
| No shared suit | 12 | 16.67 | 47.022 | 0.567 | 52.411 | 47.306 |
How often this matchup comes up
You will meet this exact matchup 0.0089% of the time in a random heads-up deal: 144 of 1,624,350, counting either seat order.
A worked example
Take a $200 pot built from $100 each. 22's equity of 52.30% is worth $104.60, a $4.60 edge, and AQo's 47.70% is worth $95.40, which is $4.60 under its stake.
A thousand deals look like this: 22 takes 520, AQo takes 474, 6 are ties.
The same matchup from the other side
The mirror image, 22 against AQo, is 52.30% to 47.70%, and its address redirects to this page.
Keep exploring
AsQh against 2d2c is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
Nothing here is simulated. The 72 deals of AQo against 22 fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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