A2s
57.21%
Wins 56.97%, ties 0.47%
T9o
42.79%
Wins 42.56%, ties 0.47%
A2s against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A2s | 56.973 | 0.472 | 42.555 | 57.209 |
| T9o | 42.555 | 0.472 | 56.973 | 42.791 |
The matchup pits a suited hand against an offsuit hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Of every 100 boards, about 0.47 are split pots, and the equity figures already include them.
By strength against a random hand, A2s holds place 46 of 169 and T9o holds place 78.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A2s | 46,826,000 | 388,000 | 34,976,000 |
| T9o | 34,976,000 | 388,000 | 46,826,000 |
The total is exact: 48 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| A2s | 1.337 | 1.755 | 2.350 | 0.748 |
| T9o | 0.748 | 2.350 | 1.755 | 1.337 |
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
Across the five flop textures A2s' equity moves by 10.38 points, from 52.85% on low rainbow flops (nine high or lower) to 63.23% on paired flops. A2s stays ahead on all five textures.
| Flop | Share of flops | A2s wins | Ties | T9o wins | A2s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.665 | 55.335 | 0.202 | 44.463 | 55.436 |
| Rainbow, nine or lower | 6.365 | 52.470 | 0.767 | 46.763 | 52.854 |
| Two-tone | 46.667 | 56.673 | 0.292 | 43.035 | 56.819 |
| Monotone | 5.212 | 53.472 | 2.386 | 44.142 | 54.665 |
| Paired | 17.091 | 62.899 | 0.661 | 36.440 | 63.229 |
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
Against one random hand instead, A2s holds 57.38% and T9o holds 51.53%. Facing each other changes that by -0.17 points for A2s and -8.74 points for T9o.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A2s, all flops | 57.209 | 57.379 | -0.170 | 0.99704 |
| A2s, rainbow, ten or higher | 55.436 | 57.379 | -1.943 | 0.96614 |
| A2s, rainbow, nine or lower | 52.854 | 57.379 | -4.525 | 0.92114 |
| A2s, two-tone | 56.819 | 57.379 | -0.560 | 0.99024 |
| A2s, monotone | 54.665 | 57.379 | -2.714 | 0.95270 |
| A2s, paired | 63.229 | 57.379 | +5.850 | 1.10195 |
| T9o, all flops | 42.791 | 51.532 | -8.741 | 0.83038 |
| T9o, rainbow, ten or higher | 44.564 | 51.532 | -6.968 | 0.86478 |
| T9o, rainbow, nine or lower | 47.146 | 51.532 | -4.386 | 0.91489 |
| T9o, two-tone | 43.181 | 51.532 | -8.351 | 0.83795 |
| T9o, monotone | 45.335 | 51.532 | -6.197 | 0.87974 |
| T9o, paired | 36.771 | 51.532 | -14.761 | 0.71356 |
Does a shared suit matter?
Split by suits, the deals give A2s 56.85% when the hands overlap in a suit and 57.57% when they do not. A2s does better with no shared suit, by 0.72 points.
| Deals | Specific deals | Share of deals | A2s wins | Ties | T9o wins | A2s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 56.594 | 0.515 | 42.891 | 56.851 |
| No shared suit | 24 | 50.00 | 57.352 | 0.429 | 42.219 | 57.567 |
How often this matchup comes up
A2s against T9o is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average A2s takes back $114.42 of it, which is $14.42 more than it put in, and T9o takes back $85.58, $14.42 less than it put in.
Out of 1,000 deals you should see around 570 outright wins for A2s, 425 for T9o, and 5 split pots.
The same matchup from the other side
T9o versus A2s is this same page seen from the other hand: 42.79% for T9o, 57.21% for A2s.
Keep exploring
As2s against Th9d 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
Nothing here is simulated. The 48 deals of A2s 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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