AQo
69.31%
Wins 66.38%, ties 5.87%
A2s
30.69%
Wins 27.75%, ties 5.87%
AQo against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 66.378 | 5.872 | 27.750 | 69.314 |
| A2s | 27.750 | 5.872 | 66.378 | 30.686 |
AQo and A2s are an offsuit hand and a suited hand, in that order. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
That is a clear edge, 69.31% to 30.69%, but A2s still wins often enough that one hand proves nothing. Split pots make up 5.87% of the boards, and both equity figures count them as half a win each.
The hand ranking puts AQo at 14 and A2s at 46 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 40,917,000 | 3,620,000 | 17,106,000 |
| A2s | 17,106,000 | 3,620,000 | 40,917,000 |
The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AQo | 2.259 | 1.507 | 3.604 | 0.443 |
| A2s | 0.443 | 3.604 | 1.507 | 2.259 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for AQo (76.47%); low rainbow flops (nine high or lower) are the worst (56.47%). AQo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | AQo wins | Ties | A2s wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 74.654 | 3.632 | 21.714 | 76.470 |
| Rainbow, nine or lower | 7.042 | 54.151 | 4.644 | 41.205 | 56.473 |
| Two-tone | 46.527 | 66.337 | 3.669 | 29.994 | 68.171 |
| Monotone | 5.192 | 61.724 | 4.884 | 33.392 | 64.166 |
| Paired | 17.334 | 61.434 | 15.672 | 22.894 | 69.270 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Start from the random-hand figures, 64.43% for AQo and 57.38% for A2s. This opponent changes them by +4.88 and -26.69 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 69.314 | 64.432 | +4.882 | 1.07577 |
| AQo, rainbow, ten or higher | 76.470 | 64.432 | +12.038 | 1.18683 |
| AQo, rainbow, nine or lower | 56.473 | 64.432 | -7.959 | 0.87647 |
| AQo, two-tone | 68.171 | 64.432 | +3.739 | 1.05803 |
| AQo, monotone | 64.166 | 64.432 | -0.266 | 0.99587 |
| AQo, paired | 69.270 | 64.432 | +4.838 | 1.07509 |
| A2s, all flops | 30.686 | 57.379 | -26.693 | 0.53479 |
| A2s, rainbow, ten or higher | 23.530 | 57.379 | -33.849 | 0.41008 |
| A2s, rainbow, nine or lower | 43.527 | 57.379 | -13.852 | 0.75859 |
| A2s, two-tone | 31.829 | 57.379 | -25.550 | 0.55472 |
| A2s, monotone | 35.834 | 57.379 | -21.545 | 0.62451 |
| A2s, paired | 30.730 | 57.379 | -26.649 | 0.53556 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and AQo holds 70.14%. In 24 they do not, and it holds 68.90%. AQo does better with a shared suit, by 1.24 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | A2s wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 67.159 | 5.964 | 26.877 | 70.141 |
| No shared suit | 24 | 66.67 | 65.987 | 5.826 | 28.187 | 68.900 |
How often this matchup comes up
You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AQo is worth $138.62 on average (+$38.62); A2s is worth $61.38 (-$38.62).
Per 1,000 deals: AQo wins about 664, A2s wins about 277, and about 59 end in a split pot.
The same matchup from the other side
A2s against AQo adds nothing new: it is 30.69% for A2s and 69.31% for AQo, the same figures reversed.
Keep exploring
Try AsQh against Ad2d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 36 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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