ATo
67.90%
Wins 66.83%, ties 2.15%
T9s
32.10%
Wins 31.02%, ties 2.15%
ATo against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATo | 66.828 | 2.152 | 31.020 | 67.904 |
| T9s | 31.020 | 2.152 | 66.828 | 32.096 |
One side is an offsuit hand, the other is a suited hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
That is a clear edge, 67.90% to 32.10%, but T9s still wins often enough that one hand proves nothing. Ties are part of the picture: 2.15% of boards end in a split pot, and each side counts that as half a win.
In the ranking of all 169 starting hands, ATo is number 19 and T9s is number 64.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATo | 41,195,000 | 1,327,000 | 19,122,000 |
| T9s | 19,122,000 | 1,327,000 | 41,195,000 |
Exact total: 36 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) |
|---|---|---|---|---|
| ATo | 2.116 | 1.496 | 3.224 | 0.473 |
| T9s | 0.473 | 3.224 | 1.496 | 2.116 |
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
Across the five flop textures ATo's equity moves by 17.83 points, from 55.46% on low rainbow flops (nine high or lower) to 73.29% on rainbow flops topped by a ten or better. ATo 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 | ATo wins | Ties | T9s wins | ATo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 72.349 | 1.884 | 25.767 | 73.291 |
| Rainbow, nine or lower | 7.042 | 54.021 | 2.868 | 43.111 | 55.455 |
| Two-tone | 46.527 | 64.913 | 1.960 | 33.127 | 65.893 |
| Monotone | 5.192 | 61.923 | 3.389 | 34.688 | 63.617 |
| Paired | 17.334 | 71.027 | 2.374 | 26.599 | 72.214 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Start from the random-hand figures, 62.72% for ATo and 54.03% for T9s. This opponent changes them by +5.18 and -21.93 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATo, all flops | 67.904 | 62.722 | +5.182 | 1.08262 |
| ATo, rainbow, ten or higher | 73.291 | 62.722 | +10.569 | 1.16851 |
| ATo, rainbow, nine or lower | 55.455 | 62.722 | -7.267 | 0.88414 |
| ATo, two-tone | 65.893 | 62.722 | +3.171 | 1.05056 |
| ATo, monotone | 63.617 | 62.722 | +0.895 | 1.01427 |
| ATo, paired | 72.214 | 62.722 | +9.492 | 1.15133 |
| T9s, all flops | 32.096 | 54.028 | -21.932 | 0.59406 |
| T9s, rainbow, ten or higher | 26.709 | 54.028 | -27.319 | 0.49435 |
| T9s, rainbow, nine or lower | 44.545 | 54.028 | -9.483 | 0.82448 |
| T9s, two-tone | 34.107 | 54.028 | -19.921 | 0.63128 |
| T9s, monotone | 36.383 | 54.028 | -17.645 | 0.67341 |
| T9s, paired | 27.786 | 54.028 | -26.242 | 0.51429 |
Does a shared suit matter?
When the hands share a suit, ATo holds 68.95%; when they do not, it holds 67.38%. ATo does better with a shared suit, by 1.57 points.
| Deals | Specific deals | Share of deals | ATo wins | Ties | T9s wins | ATo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 67.832 | 2.241 | 29.927 | 68.952 |
| No shared suit | 24 | 66.67 | 66.326 | 2.107 | 31.567 | 67.380 |
How often this matchup comes up
Exactly 36 specific deals fit this matchup in one seat order, which is 0.0022% of 1,624,350; both orders together give 72, or 0.0044%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, ATo's average share is $135.80 (a gain of $35.80) and T9s' is $64.20 (a loss of $35.80).
Run 1,000 deals and the tally comes out near 668 for ATo, 310 for T9s and 22 ties.
The same matchup from the other side
If you came looking for T9s against ATo, the numbers are the same with the hands swapped: 32.10% and 67.90%.
Keep exploring
The calculator link fills in AsTh against Td9d, 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 36 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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