A3s
55.44%
Wins 55.19%, ties 0.51%
T8s
44.56%
Wins 44.30%, ties 0.51%
A3s against T8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A3s | 55.185 | 0.507 | 44.308 | 55.439 |
| T8s | 44.308 | 0.507 | 55.185 | 44.561 |
This is a contest between two suited hands, A3s and T8s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 10.88 point lead is real, and T8s still takes about 443 of every 1,000 deals outright. The tie share is 0.51%: on those boards the pot is chopped and neither hand wins outright.
A3s ranks number 38 of 169 starting hands, and T8s ranks number 73, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A3s | 15,119,000 | 139,000 | 12,139,000 |
| T8s | 12,139,000 | 139,000 | 15,119,000 |
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) |
|---|---|---|---|---|
| A3s | 1.244 | 1.812 | 2.257 | 0.804 |
| T8s | 0.804 | 2.257 | 1.812 | 1.244 |
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
Break the boards down by their first three cards and A3s is strongest on paired flops (61.27%) and weakest on low rainbow flops (nine high or lower) (50.08%). A3s stays ahead on all five textures.
| Flop | Share of flops | A3s wins | Ties | T8s wins | A3s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.543 | 55.454 | 0.193 | 44.353 | 55.551 |
| Rainbow, nine or lower | 6.366 | 49.752 | 0.663 | 49.585 | 50.083 |
| Two-tone | 46.727 | 54.079 | 0.265 | 45.656 | 54.212 |
| Monotone | 5.273 | 51.653 | 3.428 | 44.919 | 53.367 |
| Paired | 17.091 | 60.938 | 0.661 | 38.401 | 61.268 |
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: 58.22% for A3s, 52.33% for T8s. Here the change is -2.78 and -7.77 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A3s, all flops | 55.439 | 58.220 | -2.781 | 0.95223 |
| A3s, rainbow, ten or higher | 55.551 | 58.220 | -2.669 | 0.95416 |
| A3s, rainbow, nine or lower | 50.083 | 58.220 | -8.137 | 0.86024 |
| A3s, two-tone | 54.212 | 58.220 | -4.008 | 0.93116 |
| A3s, monotone | 53.367 | 58.220 | -4.853 | 0.91664 |
| A3s, paired | 61.268 | 58.220 | +3.048 | 1.05235 |
| T8s, all flops | 44.561 | 52.334 | -7.773 | 0.85147 |
| T8s, rainbow, ten or higher | 44.449 | 52.334 | -7.885 | 0.84933 |
| T8s, rainbow, nine or lower | 49.917 | 52.334 | -2.417 | 0.95382 |
| T8s, two-tone | 45.788 | 52.334 | -6.546 | 0.87492 |
| T8s, monotone | 46.633 | 52.334 | -5.701 | 0.89107 |
| T8s, paired | 38.732 | 52.334 | -13.602 | 0.74009 |
Does a shared suit matter?
When the hands share a suit, A3s holds 57.11%; when they do not, it holds 54.88%. A3s does better with a shared suit, by 2.23 points.
| Deals | Specific deals | Share of deals | A3s wins | Ties | T8s wins | A3s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 56.819 | 0.588 | 42.593 | 57.113 |
| No shared suit | 12 | 75.00 | 54.641 | 0.480 | 44.879 | 54.881 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are A3s against T8s, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. A3s averages $110.88 from the $200, up $10.88; T8s averages $89.12, down $10.88.
A thousand deals look like this: A3s takes 552, T8s takes 443, 5 are ties.
The same matchup from the other side
The reversed view, T8s against A3s, shows 44.56% for T8s and 55.44% for A3s. It is the same count, so it redirects here.
Keep exploring
As3s against Th8h 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
We counted every case. Each suit pattern of the 16 specific A3s against T8s 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.
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