A9o
56.93%
Wins 56.72%, ties 0.42%
T8s
43.07%
Wins 42.86%, ties 0.42%
A9o against T8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 56.721 | 0.417 | 42.862 | 56.930 |
| T8s | 42.862 | 0.417 | 56.721 | 43.070 |
The first hand is an offsuit hand; the second is a suited hand. 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 0.42 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, A9o is number 25 and T8s is number 73.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9o | 46,619,000 | 343,000 | 35,229,000 |
| T8s | 35,229,000 | 343,000 | 46,619,000 |
48 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 | 1.322 | 1.763 | 2.333 | 0.757 |
| T8s | 0.757 | 2.333 | 1.763 | 1.322 |
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
Across the five flop textures A9o's equity moves by 6.87 points, from 54.67% on monotone flops to 61.54% on paired flops. A9o stays ahead on all five textures.
| Flop | Share of flops | A9o wins | Ties | T8s wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.665 | 57.700 | 0.180 | 42.120 | 57.790 |
| Rainbow, nine or lower | 6.365 | 57.102 | 0.511 | 42.387 | 57.357 |
| Two-tone | 46.667 | 54.864 | 0.233 | 44.903 | 54.980 |
| Monotone | 5.212 | 53.498 | 2.350 | 44.152 | 54.673 |
| Paired | 17.091 | 61.222 | 0.637 | 38.141 | 61.540 |
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
How much does the opponent matter? Compared with its random-hand 60.77%, A9o changes by -3.84 points, and T8s, from 52.33%, by -9.26.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 56.930 | 60.773 | -3.843 | 0.93676 |
| A9o, rainbow, ten or higher | 57.790 | 60.773 | -2.983 | 0.95092 |
| A9o, rainbow, nine or lower | 57.357 | 60.773 | -3.416 | 0.94379 |
| A9o, two-tone | 54.980 | 60.773 | -5.793 | 0.90468 |
| A9o, monotone | 54.673 | 60.773 | -6.100 | 0.89963 |
| A9o, paired | 61.540 | 60.773 | +0.767 | 1.01262 |
| T8s, all flops | 43.070 | 52.334 | -9.264 | 0.82298 |
| T8s, rainbow, ten or higher | 42.210 | 52.334 | -10.124 | 0.80655 |
| T8s, rainbow, nine or lower | 42.643 | 52.334 | -9.691 | 0.81482 |
| T8s, two-tone | 45.020 | 52.334 | -7.314 | 0.86024 |
| T8s, monotone | 45.327 | 52.334 | -7.007 | 0.86611 |
| T8s, paired | 38.460 | 52.334 | -13.874 | 0.73490 |
Does a shared suit matter?
The suit split reads 57.42% for A9o with a shared suit and 56.44% without one. A9o does better with a shared suit, by 0.98 points.
| Deals | Specific deals | Share of deals | A9o wins | Ties | T8s wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 57.187 | 0.457 | 42.356 | 57.415 |
| No shared suit | 24 | 50.00 | 56.256 | 0.376 | 43.368 | 56.444 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are A9o in one seat and T8s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. A9o averages $113.86 from the $200, up $13.86; T8s averages $86.14, down $13.86.
Run 1,000 deals and the tally comes out near 567 for A9o, 429 for T8s and 4 ties.
The same matchup from the other side
The reversed view, T8s against A9o, shows 43.07% for T8s and 56.93% for A9o. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in As9h against Td8d, 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
Method: exact enumeration. The 48 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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