A9s
59.18%
Wins 58.95%, ties 0.45%
QJo
40.82%
Wins 40.60%, ties 0.45%
A9s against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9s | 58.951 | 0.452 | 40.597 | 59.177 |
| QJo | 40.597 | 0.452 | 58.951 | 40.823 |
Here a suited hand (A9s) meets an offsuit hand (QJo). With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Of every 100 boards, about 0.45 are split pots, and the equity figures already include them.
For context, A9s sits at number 18 of 169 starting hands and QJo at number 39 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9s | 48,452,000 | 372,000 | 33,367,000 |
| QJo | 33,367,000 | 372,000 | 48,452,000 |
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) |
|---|---|---|---|---|
| A9s | 1.450 | 1.696 | 2.463 | 0.690 |
| QJo | 0.690 | 2.463 | 1.696 | 1.450 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
The flop changes the picture. A9s does best on low rainbow flops (nine high or lower), at 75.68%, and worst on rainbow flops topped by a ten or better, at 51.78%. A9s 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 | A9s wins | Ties | QJo wins | A9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 51.717 | 0.118 | 48.165 | 51.776 |
| Rainbow, nine or lower | 7.042 | 75.212 | 0.935 | 23.853 | 75.679 |
| Two-tone | 46.667 | 58.625 | 0.277 | 41.098 | 58.763 |
| Monotone | 5.212 | 54.619 | 2.372 | 43.009 | 55.805 |
| Paired | 17.091 | 64.615 | 0.616 | 34.769 | 64.923 |
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
A random hand would give A9s 62.78% and QJo 58.14%. Against each other the change is -3.60 points for A9s and -17.32 for QJo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9s, all flops | 59.177 | 62.781 | -3.604 | 0.94259 |
| A9s, rainbow, ten or higher | 51.776 | 62.781 | -11.005 | 0.82471 |
| A9s, rainbow, nine or lower | 75.679 | 62.781 | +12.898 | 1.20544 |
| A9s, two-tone | 58.763 | 62.781 | -4.018 | 0.93600 |
| A9s, monotone | 55.805 | 62.781 | -6.976 | 0.88888 |
| A9s, paired | 64.923 | 62.781 | +2.142 | 1.03412 |
| QJo, all flops | 40.823 | 58.135 | -17.312 | 0.70221 |
| QJo, rainbow, ten or higher | 48.224 | 58.135 | -9.911 | 0.82952 |
| QJo, rainbow, nine or lower | 24.321 | 58.135 | -33.814 | 0.41835 |
| QJo, two-tone | 41.237 | 58.135 | -16.898 | 0.70933 |
| QJo, monotone | 44.195 | 58.135 | -13.940 | 0.76021 |
| QJo, paired | 35.077 | 58.135 | -23.058 | 0.60337 |
Does a shared suit matter?
When the hands share a suit, A9s holds 58.84%; when they do not, it holds 59.52%. A9s does better with no shared suit, by 0.68 points.
| Deals | Specific deals | Share of deals | A9s wins | Ties | QJo wins | A9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 58.589 | 0.493 | 40.918 | 58.836 |
| No shared suit | 24 | 50.00 | 59.312 | 0.412 | 40.276 | 59.518 |
How often this matchup comes up
This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A9s' average share is $118.36 (a gain of $18.36) and QJo's is $81.64 (a loss of $18.36).
Scaled to 1,000 deals, that is roughly 589 wins for A9s, 406 for QJo and 5 chopped pots.
The same matchup from the other side
Swap the hands and you get QJo with 40.82% against A9s with 59.18%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in As9s against QhJd, 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
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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