AQo
69.42%
Wins 66.63%, ties 5.58%
A9s
30.58%
Wins 27.79%, ties 5.58%
AQo against A9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 66.633 | 5.581 | 27.786 | 69.424 |
| A9s | 27.786 | 5.581 | 66.633 | 30.576 |
AQo and A9s 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.
AQo is well ahead, and A9s needs a specific kind of board to catch up. A split pot comes up on 5.58% of boards, so the wins and the equity differ by half of that.
Place 14 of 169 belongs to AQo and place 18 belongs to A9s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 41,075,000 | 3,440,000 | 17,128,000 |
| A9s | 17,128,000 | 3,440,000 | 41,075,000 |
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 | 2.271 | 1.501 | 3.599 | 0.440 |
| A9s | 0.440 | 3.599 | 1.501 | 2.271 |
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
The flop changes the picture. AQo does best on rainbow flops topped by a ten or better, at 76.40%, and worst on low rainbow flops (nine high or lower), at 58.20%. 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 | A9s wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 74.646 | 3.509 | 21.845 | 76.401 |
| Rainbow, nine or lower | 7.042 | 55.976 | 4.443 | 39.581 | 58.198 |
| Two-tone | 46.527 | 66.668 | 3.511 | 29.821 | 68.423 |
| Monotone | 5.192 | 61.837 | 4.697 | 33.466 | 64.185 |
| Paired | 17.334 | 61.256 | 14.721 | 24.023 | 68.616 |
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
Relative to a random opponent, AQo changes by +4.99 points (baseline 64.43%) and A9s by -32.20 points (baseline 62.78%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 69.424 | 64.432 | +4.992 | 1.07748 |
| AQo, rainbow, ten or higher | 76.401 | 64.432 | +11.969 | 1.18576 |
| AQo, rainbow, nine or lower | 58.198 | 64.432 | -6.234 | 0.90325 |
| AQo, two-tone | 68.423 | 64.432 | +3.991 | 1.06194 |
| AQo, monotone | 64.185 | 64.432 | -0.247 | 0.99617 |
| AQo, paired | 68.616 | 64.432 | +4.184 | 1.06494 |
| A9s, all flops | 30.576 | 62.781 | -32.205 | 0.48703 |
| A9s, rainbow, ten or higher | 23.599 | 62.781 | -39.182 | 0.37589 |
| A9s, rainbow, nine or lower | 41.802 | 62.781 | -20.979 | 0.66584 |
| A9s, two-tone | 31.577 | 62.781 | -31.204 | 0.50297 |
| A9s, monotone | 35.815 | 62.781 | -26.966 | 0.57048 |
| A9s, paired | 31.384 | 62.781 | -31.397 | 0.49990 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and AQo holds 70.25%. In 24 they do not, and it holds 69.01%. AQo does better with a shared suit, by 1.24 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | A9s wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 67.410 | 5.671 | 26.919 | 70.246 |
| No shared suit | 24 | 66.67 | 66.245 | 5.535 | 28.220 | 69.012 |
How often this matchup comes up
AQo against A9s is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average AQo takes back $138.84 of it, which is $38.84 more than it put in, and A9s takes back $61.16, $38.84 less than it put in.
In 1,000 deals of exactly this matchup, expect about 666 won outright by AQo, about 278 won outright by A9s and about 56 split.
The same matchup from the other side
The mirror image, A9s against AQo, is 30.58% to 69.42%, and its address redirects to this page.
Keep exploring
AsQh against Ad9d 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
We counted every case. Each suit pattern of the 36 specific AQo against A9s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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