A3s
54.65%
Wins 54.39%, ties 0.51%
T9s
45.35%
Wins 45.10%, ties 0.51%
A3s against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A3s | 54.392 | 0.506 | 45.102 | 54.645 |
| T9s | 45.102 | 0.506 | 54.392 | 45.355 |
Two suited hands meet here: A3s against T9s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a slim edge: neither hand is far ahead. About 0.51% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
The hand ranking puts A3s at 38 and T9s at 64 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A3s | 14,902,000 | 139,000 | 12,357,000 |
| T9s | 12,357,000 | 139,000 | 14,902,000 |
Exact total: 16 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) |
|---|---|---|---|---|
| A3s | 1.205 | 1.839 | 2.217 | 0.830 |
| T9s | 0.830 | 2.217 | 1.839 | 1.205 |
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
The flop changes the picture. A3s does best on paired flops, at 60.44%, and worst on low rainbow flops (nine high or lower), at 51.59%. A3s stays ahead on all five textures.
| Flop | Share of flops | A3s wins | Ties | T9s wins | A3s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.543 | 53.971 | 0.193 | 45.836 | 54.068 |
| Rainbow, nine or lower | 6.366 | 51.258 | 0.663 | 48.079 | 51.590 |
| Two-tone | 46.727 | 53.319 | 0.265 | 46.416 | 53.452 |
| Monotone | 5.273 | 51.103 | 3.429 | 45.468 | 52.817 |
| Paired | 17.091 | 60.112 | 0.657 | 39.231 | 60.440 |
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
Relative to a random opponent, A3s changes by -3.57 points (baseline 58.22%) and T9s by -8.68 points (baseline 54.03%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A3s, all flops | 54.645 | 58.220 | -3.575 | 0.93859 |
| A3s, rainbow, ten or higher | 54.068 | 58.220 | -4.152 | 0.92868 |
| A3s, rainbow, nine or lower | 51.590 | 58.220 | -6.630 | 0.88612 |
| A3s, two-tone | 53.452 | 58.220 | -4.768 | 0.91810 |
| A3s, monotone | 52.817 | 58.220 | -5.403 | 0.90720 |
| A3s, paired | 60.440 | 58.220 | +2.220 | 1.03813 |
| T9s, all flops | 45.355 | 54.028 | -8.673 | 0.83947 |
| T9s, rainbow, ten or higher | 45.932 | 54.028 | -8.096 | 0.85015 |
| T9s, rainbow, nine or lower | 48.410 | 54.028 | -5.618 | 0.89602 |
| T9s, two-tone | 46.548 | 54.028 | -7.480 | 0.86155 |
| T9s, monotone | 47.183 | 54.028 | -6.845 | 0.87331 |
| T9s, paired | 39.560 | 54.028 | -14.468 | 0.73221 |
Does a shared suit matter?
Does suit overlap move the numbers? A3s has 56.21% when the hands share a suit and 54.12% when they do not. A3s does better with a shared suit, by 2.09 points.
| Deals | Specific deals | Share of deals | A3s wins | Ties | T9s wins | A3s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 55.920 | 0.587 | 43.493 | 56.213 |
| No shared suit | 12 | 75.00 | 53.883 | 0.479 | 45.638 | 54.123 |
How often this matchup comes up
This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).
A worked example
Put $100 each into a $200 pot and deal every board once: A3s averages $109.30 back, ahead of its $100 by $9.30, while T9s averages $90.70, short of its $100 by $9.30.
A thousand deals look like this: A3s takes 544, T9s takes 451, 5 are ties.
The same matchup from the other side
If you came looking for T9s against A3s, the numbers are the same with the hands swapped: 45.35% and 54.65%.
Keep exploring
Try As3s against Th9h 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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