T9s
64.00%
Wins 63.12%, ties 1.76%
53s
36.00%
Wins 35.12%, ties 1.76%
T9s against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T9s | 63.118 | 1.764 | 35.118 | 64.000 |
| 53s | 35.118 | 1.764 | 63.118 | 36.000 |
Two suited hands meet here: T9s against 53s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Split pots make up 1.76% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, T9s is number 64 and 53s is number 146.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T9s | 17,292,000 | 483,000 | 9,621,000 |
| 53s | 9,621,000 | 483,000 | 17,292,000 |
The total is exact: 16 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) |
|---|---|---|---|---|
| T9s | 1.778 | 1.584 | 2.848 | 0.563 |
| 53s | 0.563 | 2.848 | 1.584 | 1.778 |
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
By flop texture, T9s' equity runs from 52.34% on low rainbow flops (nine high or lower) up to 67.57% on rainbow flops topped by a ten or better. T9s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | T9s wins | Ties | 53s wins | T9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 66.997 | 1.140 | 31.863 | 67.567 |
| Rainbow, nine or lower | 5.689 | 52.041 | 0.589 | 47.370 | 52.335 |
| Two-tone | 46.727 | 63.172 | 0.948 | 35.880 | 63.646 |
| Monotone | 5.273 | 59.244 | 3.976 | 36.780 | 61.232 |
| Paired | 17.091 | 62.127 | 4.625 | 33.248 | 64.440 |
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, T9s changes by +9.97 points (baseline 54.03%) and 53s by -3.69 points (baseline 39.69%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T9s, all flops | 64.000 | 54.028 | +9.972 | 1.18457 |
| T9s, rainbow, ten or higher | 67.567 | 54.028 | +13.539 | 1.25059 |
| T9s, rainbow, nine or lower | 52.335 | 54.028 | -1.693 | 0.96866 |
| T9s, two-tone | 63.646 | 54.028 | +9.618 | 1.17802 |
| T9s, monotone | 61.232 | 54.028 | +7.204 | 1.13334 |
| T9s, paired | 64.440 | 54.028 | +10.412 | 1.19271 |
| 53s, all flops | 36.000 | 39.693 | -3.693 | 0.90696 |
| 53s, rainbow, ten or higher | 32.433 | 39.693 | -7.260 | 0.81710 |
| 53s, rainbow, nine or lower | 47.665 | 39.693 | +7.972 | 1.20084 |
| 53s, two-tone | 36.354 | 39.693 | -3.339 | 0.91588 |
| 53s, monotone | 38.768 | 39.693 | -0.925 | 0.97670 |
| 53s, paired | 35.560 | 39.693 | -4.133 | 0.89588 |
Does a shared suit matter?
Does suit overlap move the numbers? T9s has 66.43% when the hands share a suit and 63.19% when they do not. T9s does better with a shared suit, by 3.24 points.
| Deals | Specific deals | Share of deals | T9s wins | Ties | 53s wins | T9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.471 | 1.913 | 32.616 | 66.427 |
| No shared suit | 12 | 75.00 | 62.333 | 1.715 | 35.952 | 63.190 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are T9s in one seat and 53s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
With $100 from each side, the $200 pot is split on average as $128.00 for T9s and $72.00 for 53s; the first side gains $28.00 per all-in and the second gives up $28.00.
A thousand deals look like this: T9s takes 631, 53s takes 351, 18 are ties.
The same matchup from the other side
The mirror image, 53s against T9s, is 36.00% to 64.00%, and its address redirects to this page.
Keep exploring
Ts9s against 5h3h 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 16 deals of T9s against 53s 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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