AQo
70.47%
Wins 69.71%, ties 1.52%
Q9s
29.53%
Wins 28.77%, ties 1.52%
AQo against Q9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 69.711 | 1.519 | 28.770 | 70.470 |
| Q9s | 28.770 | 1.519 | 69.711 | 29.530 |
We compare an offsuit hand with a suited hand. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
A lead of 40.94 points is large but not decisive: Q9s still takes about 288 of every 1,000 deals. A split pot comes up on 1.52% of boards, so the wins and the equity differ by half of that.
In the ranking of all 169 starting hands, AQo is number 14 and Q9s is number 43.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 42,972,000 | 936,000 | 17,735,000 |
| Q9s | 17,735,000 | 936,000 | 42,972,000 |
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 | 2.386 | 1.434 | 3.476 | 0.419 |
| Q9s | 0.419 | 3.476 | 1.434 | 2.386 |
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
AQo prefers rainbow flops topped by a ten or better, where it holds 75.89%, and likes low rainbow flops (nine high or lower) least, where it holds 59.54%. 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 | Q9s wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 75.189 | 1.397 | 23.414 | 75.887 |
| Rainbow, nine or lower | 7.042 | 58.955 | 1.161 | 39.884 | 59.535 |
| Two-tone | 46.527 | 67.930 | 1.243 | 30.827 | 68.551 |
| Monotone | 5.192 | 64.062 | 2.863 | 33.075 | 65.494 |
| Paired | 17.334 | 72.999 | 2.170 | 24.831 | 74.084 |
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 57.66% for Q9s. This opponent changes them by +6.04 and -28.13 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 70.470 | 64.432 | +6.038 | 1.09371 |
| AQo, rainbow, ten or higher | 75.887 | 64.432 | +11.455 | 1.17778 |
| AQo, rainbow, nine or lower | 59.535 | 64.432 | -4.897 | 0.92400 |
| AQo, two-tone | 68.551 | 64.432 | +4.119 | 1.06393 |
| AQo, monotone | 65.494 | 64.432 | +1.062 | 1.01648 |
| AQo, paired | 74.084 | 64.432 | +9.652 | 1.14980 |
| Q9s, all flops | 29.530 | 57.664 | -28.134 | 0.51210 |
| Q9s, rainbow, ten or higher | 24.113 | 57.664 | -33.551 | 0.41816 |
| Q9s, rainbow, nine or lower | 40.465 | 57.664 | -17.199 | 0.70174 |
| Q9s, two-tone | 31.449 | 57.664 | -26.215 | 0.54538 |
| Q9s, monotone | 34.506 | 57.664 | -23.158 | 0.59840 |
| Q9s, paired | 25.916 | 57.664 | -31.748 | 0.44943 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (AQo at 71.58%) and 24 do not (69.91%). AQo does better with a shared suit, by 1.67 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | Q9s wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 70.784 | 1.599 | 27.617 | 71.583 |
| No shared suit | 24 | 66.67 | 69.174 | 1.479 | 29.347 | 69.914 |
How often this matchup comes up
The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AQo is worth $140.94 on average (+$40.94); Q9s is worth $59.06 (-$40.94).
In 1,000 deals of exactly this matchup, expect about 697 won outright by AQo, about 288 won outright by Q9s and about 15 split.
The same matchup from the other side
One page covers both views. From Q9s' side the equity is 29.53%, and from AQo's side it is 70.47%.
Keep exploring
The calculator link fills in AsQh against Qd9d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Nothing here is simulated. The 36 deals of AQo against Q9s 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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session