ATs
68.68%
Wins 63.86%, ties 9.65%
A7s
31.32%
Wins 26.49%, ties 9.65%
ATs against A7s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 63.855 | 9.653 | 26.492 | 68.681 |
| A7s | 26.492 | 9.653 | 63.855 | 31.319 |
This is a contest between two suited hands, ATs and A7s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A lead of 37.36 points is large but not decisive: A7s still takes about 265 of every 1,000 deals. A split pot comes up on 9.65% of boards, so the wins and the equity differ by half of that.
Ranked by equity against a random hand, ATs is number 13 of the 169 starting hands and A7s is number 24.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 13,121,000 | 1,983,000 | 5,443,000 |
| A7s | 5,443,000 | 1,983,000 | 13,121,000 |
The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| ATs | 2.193 | 1.566 | 3.775 | 0.456 |
| A7s | 0.456 | 3.775 | 1.566 | 2.193 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Split by what the flop looks like, ATs peaks at 74.90% on rainbow flops topped by a ten or better and bottoms out at 59.22% 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 | A7s wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 70.739 | 8.325 | 20.936 | 74.902 |
| Rainbow, nine or lower | 7.042 | 57.256 | 3.922 | 38.822 | 59.217 |
| Two-tone | 46.543 | 65.247 | 6.611 | 28.142 | 68.552 |
| Monotone | 5.215 | 59.353 | 7.702 | 32.945 | 63.204 |
| Paired | 17.333 | 54.671 | 22.567 | 22.762 | 65.955 |
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
Against one random hand instead, ATs holds 64.60% and A7s holds 60.98%. Facing each other changes that by +4.08 points for ATs and -29.66 points for A7s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 68.681 | 64.602 | +4.079 | 1.06314 |
| ATs, rainbow, ten or higher | 74.902 | 64.602 | +10.300 | 1.15944 |
| ATs, rainbow, nine or lower | 59.217 | 64.602 | -5.385 | 0.91664 |
| ATs, two-tone | 68.552 | 64.602 | +3.950 | 1.06114 |
| ATs, monotone | 63.204 | 64.602 | -1.398 | 0.97836 |
| ATs, paired | 65.955 | 64.602 | +1.353 | 1.02094 |
| A7s, all flops | 31.319 | 60.984 | -29.665 | 0.51356 |
| A7s, rainbow, ten or higher | 25.098 | 60.984 | -35.886 | 0.41155 |
| A7s, rainbow, nine or lower | 40.783 | 60.984 | -20.201 | 0.66875 |
| A7s, two-tone | 31.448 | 60.984 | -29.536 | 0.51568 |
| A7s, monotone | 36.796 | 60.984 | -24.188 | 0.60337 |
| A7s, paired | 34.045 | 60.984 | -26.939 | 0.55826 |
Does a shared suit matter?
Every legal deal of ATs against A7s leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | ATs wins | Ties | A7s wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 63.855 | 9.653 | 26.492 | 68.681 |
How often this matchup comes up
This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average ATs takes back $137.36 of it, which is $37.36 more than it put in, and A7s takes back $62.64, $37.36 less than it put in.
Run 1,000 deals and the tally comes out near 639 for ATs, 265 for A7s and 96 ties.
The same matchup from the other side
One page covers both views. From A7s' side the equity is 31.32%, and from ATs' side it is 68.68%.
Keep exploring
Try AsTs against Ah7h 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
This is an exact count with no sampling. For the 12 ways to deal one ATs and one A7s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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