ATs
52.49%
Wins 7.16%, ties 90.67%
ATo
47.51%
Wins 2.17%, ties 90.67%
ATs against ATo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 7.158 | 90.669 | 2.173 | 52.492 |
| ATo | 2.173 | 90.669 | 7.158 | 47.508 |
The matchup pits a suited hand against an offsuit hand. The two classes use the same two ranks and differ only in suits, so the suited hand is ahead mainly by making flushes.
ATs leads by less than 5 points of equity, so the result of any one deal is close to a toss-up. About 90.67% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Among the 169 starting hands, ATs is number 13 and ATo is number 19 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 2,942,000 | 37,261,000 | 893,000 |
| ATo | 893,000 | 37,261,000 | 2,942,000 |
Exact total: 24 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) |
|---|---|---|---|---|
| ATs | 1.105 | 13.970 | 46.019 | 0.905 |
| ATo | 0.905 | 46.019 | 13.970 | 1.105 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Split by what the flop looks like, ATs peaks at 53.28% on two-tone flops and bottoms out at 50.29% on monotone flops. ATs stays ahead on all five textures, and the gap between its best and worst is only 2.99 points, so the shape of the flop hardly changes who is favored.
| Flop | Share of flops | ATs wins | Ties | ATo wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 3.265 | 96.735 | 0.000 | 51.633 |
| Rainbow, nine or lower | 7.771 | 3.409 | 96.591 | 0.000 | 51.705 |
| Two-tone | 46.363 | 8.829 | 88.901 | 2.270 | 53.280 |
| Monotone | 5.152 | 18.515 | 63.540 | 17.945 | 50.285 |
| Paired | 17.576 | 6.201 | 92.681 | 1.118 | 52.541 |
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, 64.60% for ATs and 62.72% for ATo. This opponent changes them by -12.11 and -15.21 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 52.492 | 64.602 | -12.110 | 0.81254 |
| ATs, rainbow, ten or higher | 51.633 | 64.602 | -12.969 | 0.79925 |
| ATs, rainbow, nine or lower | 51.705 | 64.602 | -12.897 | 0.80036 |
| ATs, two-tone | 53.280 | 64.602 | -11.322 | 0.82474 |
| ATs, monotone | 50.285 | 64.602 | -14.317 | 0.77838 |
| ATs, paired | 52.541 | 64.602 | -12.061 | 0.81330 |
| ATo, all flops | 47.508 | 62.722 | -15.214 | 0.75744 |
| ATo, rainbow, ten or higher | 48.367 | 62.722 | -14.355 | 0.77113 |
| ATo, rainbow, nine or lower | 48.295 | 62.722 | -14.427 | 0.76999 |
| ATo, two-tone | 46.720 | 62.722 | -16.002 | 0.74487 |
| ATo, monotone | 49.715 | 62.722 | -13.007 | 0.79262 |
| ATo, paired | 47.459 | 62.722 | -15.263 | 0.75666 |
Does a shared suit matter?
Suits do not split this matchup, because no legal deal has the hands holding the same suit.
| Deals | Specific deals | Share of deals | ATs wins | Ties | ATo wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 24 | 100.00 | 7.158 | 90.669 | 2.173 | 52.492 |
How often this matchup comes up
This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average ATs takes back $104.98 of it, which is $4.98 more than it put in, and ATo takes back $95.02, $4.98 less than it put in.
Run 1,000 deals and the tally comes out near 71 for ATs, 22 for ATo and 907 ties.
The same matchup from the other side
ATo against ATs adds nothing new: it is 47.51% for ATo and 52.49% for ATs, the same figures reversed.
Keep exploring
Open the calculator with AsTs against AhTd already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Each figure is a complete count over boards. Take the 24 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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