ATs
73.14%
Wins 72.08%, ties 2.13%
T9o
26.86%
Wins 25.79%, ties 2.13%
ATs against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 72.078 | 2.129 | 25.793 | 73.142 |
| T9o | 25.793 | 2.129 | 72.078 | 26.858 |
The matchup pits a suited hand against an offsuit hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
That is a clear edge, 73.14% to 26.86%, but T9o still wins often enough that one hand proves nothing. Ties are 2.13% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, ATs is number 13 and T9o is number 78.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 44,431,000 | 1,312,000 | 15,900,000 |
| T9o | 15,900,000 | 1,312,000 | 44,431,000 |
The total is exact: 36 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) |
|---|---|---|---|---|
| ATs | 2.723 | 1.387 | 3.877 | 0.367 |
| T9o | 0.367 | 3.877 | 1.387 | 2.723 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Paired flops are the best for ATs (77.32%); low rainbow flops (nine high or lower) are the worst (59.01%). ATs 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 | ATs wins | Ties | T9o wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 75.465 | 1.880 | 22.655 | 76.405 |
| Rainbow, nine or lower | 7.042 | 57.591 | 2.840 | 39.569 | 59.011 |
| Two-tone | 46.527 | 71.897 | 1.927 | 26.176 | 72.860 |
| Monotone | 5.192 | 64.186 | 3.336 | 32.478 | 65.854 |
| Paired | 17.334 | 76.140 | 2.364 | 21.496 | 77.322 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +8.54 points for ATs, from 64.60%, and -24.67 for T9o, from 51.53%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 73.142 | 64.602 | +8.540 | 1.13219 |
| ATs, rainbow, ten or higher | 76.405 | 64.602 | +11.803 | 1.18270 |
| ATs, rainbow, nine or lower | 59.011 | 64.602 | -5.591 | 0.91345 |
| ATs, two-tone | 72.860 | 64.602 | +8.258 | 1.12783 |
| ATs, monotone | 65.854 | 64.602 | +1.252 | 1.01938 |
| ATs, paired | 77.322 | 64.602 | +12.720 | 1.19690 |
| T9o, all flops | 26.858 | 51.532 | -24.674 | 0.52119 |
| T9o, rainbow, ten or higher | 23.595 | 51.532 | -27.937 | 0.45787 |
| T9o, rainbow, nine or lower | 40.989 | 51.532 | -10.543 | 0.79541 |
| T9o, two-tone | 27.140 | 51.532 | -24.392 | 0.52666 |
| T9o, monotone | 34.146 | 51.532 | -17.386 | 0.66262 |
| T9o, paired | 22.678 | 51.532 | -28.854 | 0.44008 |
Does a shared suit matter?
Does suit overlap move the numbers? ATs has 72.85% when the hands share a suit and 73.29% when they do not. ATs does better with no shared suit, by 0.44 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | T9o wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 71.728 | 2.241 | 26.031 | 72.849 |
| No shared suit | 24 | 66.67 | 72.252 | 2.073 | 25.675 | 73.289 |
How often this matchup comes up
This page stands for 36 specific-card matchups (0.0022% of 1,624,350 ordered deals), or 72 once you count the seats both ways (0.0044%).
A worked example
Take a $200 pot built from $100 each. ATs' equity of 73.14% is worth $146.28, a $46.28 edge, and T9o's 26.86% is worth $53.72, which is $46.28 under its stake.
In 1,000 deals of exactly this matchup, expect about 721 won outright by ATs, about 258 won outright by T9o and about 21 split.
The same matchup from the other side
Swap the hands and you get T9o with 26.86% against ATs with 73.14%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try AsTs against Th9d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of ATs against T9o, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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