ATs
68.48%
Wins 63.51%, ties 9.95%
A2s
31.52%
Wins 26.54%, ties 9.95%
ATs against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 63.508 | 9.950 | 26.542 | 68.483 |
| A2s | 26.542 | 9.950 | 63.508 | 31.517 |
ATs meets A2s, and both are suited hands. 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, 68.48% to 31.52%, but A2s still wins often enough that one hand proves nothing. A split pot comes up on 9.95% of boards, so the wins and the equity differ by half of that.
The hand ranking puts ATs at 13 and A2s at 46 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 13,049,000 | 2,044,000 | 5,454,000 |
| A2s | 5,454,000 | 2,044,000 | 13,049,000 |
12 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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 | 2.173 | 1.575 | 3.768 | 0.460 |
| A2s | 0.460 | 3.768 | 1.575 | 2.173 |
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
If you know the kind of flop that came, the numbers shift: ATs holds 74.65% on rainbow flops topped by a ten or better and 58.49% on low rainbow flops (nine high or lower). 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 | A2s wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 70.403 | 8.484 | 21.113 | 74.645 |
| Rainbow, nine or lower | 7.042 | 56.405 | 4.162 | 39.433 | 58.486 |
| Two-tone | 46.543 | 64.883 | 6.798 | 28.319 | 68.282 |
| Monotone | 5.215 | 59.171 | 7.901 | 32.928 | 63.121 |
| Paired | 17.333 | 54.510 | 23.402 | 22.088 | 66.211 |
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
A random hand would give ATs 64.60% and A2s 57.38%. Against each other the change is +3.88 points for ATs and -25.86 for A2s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 68.483 | 64.602 | +3.881 | 1.06008 |
| ATs, rainbow, ten or higher | 74.645 | 64.602 | +10.043 | 1.15546 |
| ATs, rainbow, nine or lower | 58.486 | 64.602 | -6.116 | 0.90533 |
| ATs, two-tone | 68.282 | 64.602 | +3.680 | 1.05696 |
| ATs, monotone | 63.121 | 64.602 | -1.481 | 0.97708 |
| ATs, paired | 66.211 | 64.602 | +1.609 | 1.02491 |
| A2s, all flops | 31.517 | 57.379 | -25.862 | 0.54928 |
| A2s, rainbow, ten or higher | 25.355 | 57.379 | -32.024 | 0.44189 |
| A2s, rainbow, nine or lower | 41.514 | 57.379 | -15.865 | 0.72351 |
| A2s, two-tone | 31.718 | 57.379 | -25.661 | 0.55278 |
| A2s, monotone | 36.879 | 57.379 | -20.500 | 0.64273 |
| A2s, paired | 33.789 | 57.379 | -23.590 | 0.58887 |
Does a shared suit matter?
The hands cannot hold a suit in common here, which leaves a single case and a single number: 68.48% for ATs.
| Deals | Specific deals | Share of deals | ATs wins | Ties | A2s wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 63.508 | 9.950 | 26.542 | 68.483 |
How often this matchup comes up
Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average ATs takes back $136.96 of it, which is $36.96 more than it put in, and A2s takes back $63.04, $36.96 less than it put in.
In 1,000 deals of exactly this matchup, expect about 635 won outright by ATs, about 265 won outright by A2s and about 100 split.
The same matchup from the other side
A2s against ATs adds nothing new: it is 31.52% for A2s and 68.48% for ATs, the same figures reversed.
Keep exploring
Try AsTs against Ah2h 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 12 specific deals of ATs against A2s, 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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