ATo
60.13%
Wins 59.93%, ties 0.41%
86s
39.87%
Wins 39.66%, ties 0.41%
ATo against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATo | 59.927 | 0.413 | 39.660 | 60.134 |
| 86s | 39.660 | 0.413 | 59.927 | 39.866 |
We compare an offsuit hand with a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
ATo is ahead, but 86s is far from dead: it takes 397 of every 1,000 deals outright. Split pots make up 0.41% of the boards, and both equity figures count them as half a win each.
Ranked by equity against a random hand, ATo is number 19 of the 169 starting hands and 86s is number 110.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATo | 49,254,000 | 339,000 | 32,597,000 |
| 86s | 32,597,000 | 339,000 | 49,254,000 |
48 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) |
|---|---|---|---|---|
| ATo | 1.508 | 1.669 | 2.521 | 0.663 |
| 86s | 0.663 | 2.521 | 1.669 | 1.508 |
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
If you know the kind of flop that came, the numbers shift: ATo holds 68.03% on rainbow flops topped by a ten or better and 34.88% on low rainbow flops (nine high or lower). 86s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | ATo wins | Ties | 86s wins | ATo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.949 | 0.166 | 31.885 | 68.032 |
| Rainbow, nine or lower | 6.313 | 34.612 | 0.526 | 64.862 | 34.875 |
| Two-tone | 46.667 | 58.378 | 0.226 | 41.396 | 58.491 |
| Monotone | 5.212 | 57.181 | 2.349 | 40.470 | 58.356 |
| Paired | 17.091 | 62.747 | 0.649 | 36.604 | 63.071 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Each hand has a baseline against a random hand: 62.72% for ATo, 46.24% for 86s. Here the change is -2.59 and -6.37 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATo, all flops | 60.134 | 62.722 | -2.588 | 0.95874 |
| ATo, rainbow, ten or higher | 68.032 | 62.722 | +5.310 | 1.08466 |
| ATo, rainbow, nine or lower | 34.875 | 62.722 | -27.847 | 0.55602 |
| ATo, two-tone | 58.491 | 62.722 | -4.231 | 0.93254 |
| ATo, monotone | 58.356 | 62.722 | -4.366 | 0.93039 |
| ATo, paired | 63.071 | 62.722 | +0.349 | 1.00556 |
| 86s, all flops | 39.866 | 46.243 | -6.377 | 0.86210 |
| 86s, rainbow, ten or higher | 31.968 | 46.243 | -14.275 | 0.69130 |
| 86s, rainbow, nine or lower | 65.125 | 46.243 | +18.882 | 1.40832 |
| 86s, two-tone | 41.509 | 46.243 | -4.734 | 0.89763 |
| 86s, monotone | 41.644 | 46.243 | -4.599 | 0.90055 |
| 86s, paired | 36.929 | 46.243 | -9.314 | 0.79859 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and ATo holds 60.83%. In 24 they do not, and it holds 59.44%. ATo does better with a shared suit, by 1.39 points.
| Deals | Specific deals | Share of deals | ATo wins | Ties | 86s wins | ATo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.599 | 0.454 | 38.947 | 60.826 |
| No shared suit | 24 | 50.00 | 59.256 | 0.372 | 40.372 | 59.442 |
How often this matchup comes up
This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).
A worked example
Take a $200 pot built from $100 each. ATo's equity of 60.13% is worth $120.26, a $20.26 edge, and 86s' 39.87% is worth $79.74, which is $20.26 under its stake.
Over a long run, 1,000 deals split into about 599 for ATo, 397 for 86s and 4 tied.
The same matchup from the other side
One page covers both views. From 86s' side the equity is 39.87%, and from ATo's side it is 60.13%.
Keep exploring
AsTh against 8d6d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 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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