AQs
63.40%
Wins 63.15%, ties 0.50%
J9s
36.60%
Wins 36.35%, ties 0.50%
AQs against J9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 63.151 | 0.496 | 36.353 | 63.399 |
| J9s | 36.353 | 0.496 | 63.151 | 36.601 |
Here suited hands face each other, AQs on one side and J9s on the other. 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 0.50% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, AQs is number 10 and J9s is number 55.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 17,301,000 | 136,000 | 9,960,000 |
| J9s | 9,960,000 | 136,000 | 17,301,000 |
The board total is exact, 16 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) |
|---|---|---|---|---|
| AQs | 1.732 | 1.584 | 2.751 | 0.577 |
| J9s | 0.577 | 2.751 | 1.584 | 1.732 |
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
Break the boards down by their first three cards and AQs is strongest on rainbow flops topped by a ten or better (65.71%) and weakest on low rainbow flops (nine high or lower) (56.99%). AQs stays ahead on all five textures.
| Flop | Share of flops | AQs wins | Ties | J9s wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 65.650 | 0.113 | 34.237 | 65.707 |
| Rainbow, nine or lower | 7.042 | 56.540 | 0.899 | 42.561 | 56.990 |
| Two-tone | 46.727 | 62.562 | 0.258 | 37.180 | 62.691 |
| Monotone | 5.273 | 58.633 | 3.408 | 37.959 | 60.337 |
| Paired | 17.091 | 65.392 | 0.616 | 33.992 | 65.700 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Each hand has a baseline against a random hand: 66.21% for AQs, 55.66% for J9s. Here the change is -2.81 and -19.06 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 63.399 | 66.209 | -2.810 | 0.95756 |
| AQs, rainbow, ten or higher | 65.707 | 66.209 | -0.502 | 0.99242 |
| AQs, rainbow, nine or lower | 56.990 | 66.209 | -9.219 | 0.86076 |
| AQs, two-tone | 62.691 | 66.209 | -3.518 | 0.94687 |
| AQs, monotone | 60.337 | 66.209 | -5.872 | 0.91131 |
| AQs, paired | 65.700 | 66.209 | -0.509 | 0.99231 |
| J9s, all flops | 36.601 | 55.662 | -19.061 | 0.65756 |
| J9s, rainbow, ten or higher | 34.293 | 55.662 | -21.369 | 0.61609 |
| J9s, rainbow, nine or lower | 43.010 | 55.662 | -12.652 | 0.77270 |
| J9s, two-tone | 37.309 | 55.662 | -18.353 | 0.67028 |
| J9s, monotone | 39.663 | 55.662 | -15.999 | 0.71257 |
| J9s, paired | 34.300 | 55.662 | -21.362 | 0.61622 |
Does a shared suit matter?
When the hands share a suit, AQs holds 65.81%; when they do not, it holds 62.59%. AQs does better with a shared suit, by 3.22 points.
| Deals | Specific deals | Share of deals | AQs wins | Ties | J9s wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.528 | 0.573 | 33.899 | 65.814 |
| No shared suit | 12 | 75.00 | 62.359 | 0.470 | 37.171 | 62.594 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says AQs gets $126.80 of it on average and J9s gets $73.20.
Out of 1,000 deals you should see around 631 outright wins for AQs, 364 for J9s, and 5 split pots.
The same matchup from the other side
Swap the hands and you get J9s with 36.60% against AQs with 63.40%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try AsQs against Jh9h 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
Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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