ATs
69.15%
Wins 64.35%, ties 9.61%
A9s
30.85%
Wins 26.04%, ties 9.61%
ATs against A9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 64.346 | 9.611 | 26.043 | 69.151 |
| A9s | 26.043 | 9.611 | 64.346 | 30.849 |
ATs meets A9s, and both are suited hands. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
ATs is well ahead, and A9s needs a specific kind of board to catch up. Ties are part of the picture: 9.61% of boards end in a split pot, and each side counts that as half a win.
ATs ranks number 13 of 169 starting hands, and A9s ranks number 18, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 13,222,000 | 1,975,000 | 5,351,000 |
| A9s | 5,351,000 | 1,975,000 | 13,222,000 |
Exact total: 12 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| ATs | 2.242 | 1.554 | 3.840 | 0.446 |
| A9s | 0.446 | 3.840 | 1.554 | 2.242 |
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
If you know the kind of flop that came, the numbers shift: ATs holds 75.12% on rainbow flops topped by a ten or better and 61.48% on low rainbow flops (nine high or lower). ATs stays ahead on all five textures.
| Flop | Share of flops | ATs wins | Ties | A9s wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 70.974 | 8.281 | 20.745 | 75.115 |
| Rainbow, nine or lower | 7.042 | 59.455 | 4.046 | 36.499 | 61.478 |
| Two-tone | 46.543 | 65.804 | 6.593 | 27.603 | 69.100 |
| Monotone | 5.215 | 59.676 | 7.666 | 32.658 | 63.509 |
| Paired | 17.333 | 54.697 | 22.392 | 22.911 | 65.893 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +4.55 points for ATs, from 64.60%, and -31.93 for A9s, from 62.78%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 69.151 | 64.602 | +4.549 | 1.07042 |
| ATs, rainbow, ten or higher | 75.115 | 64.602 | +10.513 | 1.16273 |
| ATs, rainbow, nine or lower | 61.478 | 64.602 | -3.124 | 0.95164 |
| ATs, two-tone | 69.100 | 64.602 | +4.498 | 1.06963 |
| ATs, monotone | 63.509 | 64.602 | -1.093 | 0.98308 |
| ATs, paired | 65.893 | 64.602 | +1.291 | 1.01998 |
| A9s, all flops | 30.849 | 62.781 | -31.932 | 0.49137 |
| A9s, rainbow, ten or higher | 24.885 | 62.781 | -37.896 | 0.39638 |
| A9s, rainbow, nine or lower | 38.522 | 62.781 | -24.259 | 0.61359 |
| A9s, two-tone | 30.900 | 62.781 | -31.881 | 0.49219 |
| A9s, monotone | 36.491 | 62.781 | -26.290 | 0.58124 |
| A9s, paired | 34.107 | 62.781 | -28.674 | 0.54327 |
Does a shared suit matter?
Every legal deal of ATs against A9s leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | ATs wins | Ties | A9s wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 64.346 | 9.611 | 26.043 | 69.151 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 12 are ATs in one seat and A9s in the other (0.0007%); with the seats swapped too, 24 (0.0015%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average ATs takes back $138.30 of it, which is $38.30 more than it put in, and A9s takes back $61.70, $38.30 less than it put in.
Over a long run, 1,000 deals split into about 644 for ATs, 260 for A9s and 96 tied.
The same matchup from the other side
The mirror image, A9s against ATs, is 30.85% to 69.15%, and its address redirects to this page.
Keep exploring
Try AsTs against Ah9h 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
We counted every case. Each suit pattern of the 12 specific ATs 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.
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