A9o
69.33%
Wins 68.43%, ties 1.80%
T9o
30.67%
Wins 29.77%, ties 1.80%
A9o against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 68.429 | 1.799 | 29.772 | 69.329 |
| T9o | 29.772 | 1.799 | 68.429 | 30.671 |
A9o meets T9o, and both are offsuit 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.
That is a clear edge, 69.33% to 30.67%, but T9o still wins often enough that one hand proves nothing. Split pots make up 1.80% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, A9o is number 25 and T9o is number 78.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9o | 126,545,000 | 3,327,000 | 55,057,000 |
| T9o | 55,057,000 | 3,327,000 | 126,545,000 |
108 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A9o | 2.260 | 1.461 | 3.359 | 0.442 |
| T9o | 0.442 | 3.359 | 1.461 | 2.260 |
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
If you know the kind of flop that came, the numbers shift: A9o holds 77.87% on low rainbow flops (nine high or lower) and 64.69% on monotone flops. A9o stays ahead on all five textures.
| Flop | Share of flops | A9o wins | Ties | T9o wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.731 | 65.568 | 1.657 | 32.775 | 66.397 |
| Rainbow, nine or lower | 6.314 | 76.939 | 1.862 | 21.199 | 77.870 |
| Two-tone | 46.477 | 67.466 | 1.635 | 30.899 | 68.284 |
| Monotone | 5.144 | 63.433 | 2.519 | 34.048 | 64.693 |
| Paired | 17.334 | 73.477 | 2.204 | 24.319 | 74.579 |
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: 60.77% for A9o, 51.53% for T9o. Here the change is +8.56 and -20.86 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 69.329 | 60.773 | +8.556 | 1.14079 |
| A9o, rainbow, ten or higher | 66.397 | 60.773 | +5.624 | 1.09254 |
| A9o, rainbow, nine or lower | 77.870 | 60.773 | +17.097 | 1.28133 |
| A9o, two-tone | 68.284 | 60.773 | +7.511 | 1.12359 |
| A9o, monotone | 64.693 | 60.773 | +3.920 | 1.06450 |
| A9o, paired | 74.579 | 60.773 | +13.806 | 1.22717 |
| T9o, all flops | 30.671 | 51.532 | -20.861 | 0.59518 |
| T9o, rainbow, ten or higher | 33.603 | 51.532 | -17.929 | 0.65208 |
| T9o, rainbow, nine or lower | 22.130 | 51.532 | -29.402 | 0.42944 |
| T9o, two-tone | 31.716 | 51.532 | -19.816 | 0.61546 |
| T9o, monotone | 35.307 | 51.532 | -16.225 | 0.68515 |
| T9o, paired | 25.421 | 51.532 | -26.111 | 0.49331 |
Does a shared suit matter?
Does suit overlap move the numbers? A9o has 69.41% when the hands share a suit and 69.04% when they do not. A9o does better with a shared suit, by 0.37 points.
| Deals | Specific deals | Share of deals | A9o wins | Ties | T9o wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 68.500 | 1.824 | 29.676 | 69.412 |
| No shared suit | 24 | 22.22 | 68.181 | 1.712 | 30.107 | 69.037 |
How often this matchup comes up
The class pair covers 108 combinations of specific cards in a fixed seat order, 0.0066% of 1,624,350, and 216 (0.0133%) in either order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A9o's average share is $138.66 (a gain of $38.66) and T9o's is $61.34 (a loss of $38.66).
A thousand deals look like this: A9o takes 684, T9o takes 298, 18 are ties.
The same matchup from the other side
The mirror image, T9o against A9o, is 30.67% to 69.33%, and its address redirects to this page.
Keep exploring
Try As9h against Td9c 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
Nothing here is simulated. The 108 deals of A9o against T9o 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.
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