AKo
62.00%
Wins 61.77%, ties 0.47%
Q9s
38.00%
Wins 37.76%, ties 0.47%
AKo against Q9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 61.766 | 0.467 | 37.767 | 62.000 |
| Q9s | 37.767 | 0.467 | 61.766 | 38.000 |
Here an offsuit hand (AKo) meets a suited hand (Q9s). Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are part of the picture: 0.47% of boards end in a split pot, and each side counts that as half a win.
Among the 169 starting hands, AKo is number 12 and Q9s is number 43 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 50,766,000 | 384,000 | 31,041,000 |
| Q9s | 31,041,000 | 384,000 | 50,766,000 |
The board total is exact, 48 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) |
|---|---|---|---|---|
| AKo | 1.632 | 1.619 | 2.648 | 0.613 |
| Q9s | 0.613 | 2.648 | 1.619 | 1.632 |
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. AKo does best on rainbow flops topped by a ten or better, at 65.61%, and worst on low rainbow flops (nine high or lower), at 56.15%. AKo stays ahead on all five textures.
| Flop | Share of flops | AKo wins | Ties | Q9s wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 65.548 | 0.120 | 34.332 | 65.608 |
| Rainbow, nine or lower | 7.042 | 55.642 | 1.024 | 43.334 | 56.154 |
| Two-tone | 46.667 | 60.337 | 0.295 | 39.368 | 60.484 |
| Monotone | 5.212 | 58.645 | 2.385 | 38.970 | 59.837 |
| Paired | 17.091 | 63.838 | 0.608 | 35.554 | 64.142 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Start from the random-hand figures, 65.32% for AKo and 57.66% for Q9s. This opponent changes them by -3.32 and -19.66 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 62.000 | 65.320 | -3.320 | 0.94917 |
| AKo, rainbow, ten or higher | 65.608 | 65.320 | +0.288 | 1.00441 |
| AKo, rainbow, nine or lower | 56.154 | 65.320 | -9.166 | 0.85968 |
| AKo, two-tone | 60.484 | 65.320 | -4.836 | 0.92596 |
| AKo, monotone | 59.837 | 65.320 | -5.483 | 0.91606 |
| AKo, paired | 64.142 | 65.320 | -1.178 | 0.98197 |
| Q9s, all flops | 38.000 | 57.664 | -19.664 | 0.65899 |
| Q9s, rainbow, ten or higher | 34.392 | 57.664 | -23.272 | 0.59642 |
| Q9s, rainbow, nine or lower | 43.846 | 57.664 | -13.818 | 0.76037 |
| Q9s, two-tone | 39.516 | 57.664 | -18.148 | 0.68528 |
| Q9s, monotone | 40.163 | 57.664 | -17.501 | 0.69650 |
| Q9s, paired | 35.858 | 57.664 | -21.806 | 0.62184 |
Does a shared suit matter?
The suit split reads 62.73% for AKo with a shared suit and 61.27% without one. AKo does better with a shared suit, by 1.46 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | Q9s wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 62.477 | 0.508 | 37.015 | 62.731 |
| No shared suit | 24 | 50.00 | 61.056 | 0.426 | 38.518 | 61.269 |
How often this matchup comes up
Counting specific cards, AKo against Q9s appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. AKo averages $124.00 from the $200, up $24.00; Q9s averages $76.00, down $24.00.
Over a long run, 1,000 deals split into about 617 for AKo, 378 for Q9s and 5 tied.
The same matchup from the other side
If you came looking for Q9s against AKo, the numbers are the same with the hands swapped: 38.00% and 62.00%.
Keep exploring
AsKh against Qd9d 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
Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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