ATo
59.18%
Wins 58.98%, ties 0.40%
87s
40.82%
Wins 40.62%, ties 0.40%
ATo against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATo | 58.979 | 0.404 | 40.617 | 59.181 |
| 87s | 40.617 | 0.404 | 58.979 | 40.819 |
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.
The lead is steady rather than large, and the flop still has plenty of say in who wins. 0.40% of boards are ties, so the equity of each hand is its win rate plus half of that.
For context, ATo sits at number 19 of 169 starting hands and 87s at number 100 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATo | 48,475,000 | 332,000 | 33,383,000 |
| 87s | 33,383,000 | 332,000 | 48,475,000 |
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 | 1.450 | 1.696 | 2.462 | 0.690 |
| 87s | 0.690 | 2.462 | 1.696 | 1.450 |
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
The flop changes the picture. ATo does best on rainbow flops topped by a ten or better, at 66.37%, and worst on low rainbow flops (nine high or lower), at 36.05%. On low rainbow flops (nine high or lower) the numbers flip and 87s is the one ahead.
| Flop | Share of flops | ATo wins | Ties | 87s wins | ATo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 66.275 | 0.194 | 33.531 | 66.372 |
| Rainbow, nine or lower | 6.313 | 35.864 | 0.362 | 63.774 | 36.045 |
| Two-tone | 46.667 | 57.395 | 0.216 | 42.389 | 57.503 |
| Monotone | 5.212 | 56.431 | 2.343 | 41.226 | 57.603 |
| Paired | 17.091 | 62.071 | 0.645 | 37.284 | 62.393 |
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
Relative to a random opponent, ATo changes by -3.54 points (baseline 62.72%) and 87s by -7.12 points (baseline 47.94%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATo, all flops | 59.181 | 62.722 | -3.541 | 0.94354 |
| ATo, rainbow, ten or higher | 66.372 | 62.722 | +3.650 | 1.05819 |
| ATo, rainbow, nine or lower | 36.045 | 62.722 | -26.677 | 0.57468 |
| ATo, two-tone | 57.503 | 62.722 | -5.219 | 0.91679 |
| ATo, monotone | 57.603 | 62.722 | -5.119 | 0.91839 |
| ATo, paired | 62.393 | 62.722 | -0.329 | 0.99475 |
| 87s, all flops | 40.819 | 47.936 | -7.117 | 0.85153 |
| 87s, rainbow, ten or higher | 33.628 | 47.936 | -14.308 | 0.70152 |
| 87s, rainbow, nine or lower | 63.955 | 47.936 | +16.019 | 1.33417 |
| 87s, two-tone | 42.497 | 47.936 | -5.439 | 0.88654 |
| 87s, monotone | 42.397 | 47.936 | -5.539 | 0.88445 |
| 87s, paired | 37.607 | 47.936 | -10.329 | 0.78453 |
Does a shared suit matter?
The suit split reads 59.84% for ATo with a shared suit and 58.52% without one. ATo does better with a shared suit, by 1.32 points.
| Deals | Specific deals | Share of deals | ATo wins | Ties | 87s wins | ATo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.620 | 0.445 | 39.935 | 59.842 |
| No shared suit | 24 | 50.00 | 58.339 | 0.362 | 41.299 | 58.520 |
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
A $100 all-in from each player makes a $200 pot, and the exact equity says ATo gets $118.36 of it on average and 87s gets $81.64.
Per 1,000 deals: ATo wins about 590, 87s wins about 406, and about 4 end in a split pot.
The same matchup from the other side
Read it from the other side: 87s against ATo is the same matchup with the numbers swapped, so 87s holds 40.82% and ATo holds 59.18%. That address sends you back to this page.
Keep exploring
Open the calculator with AsTh against 8d7d 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
Nothing here is simulated. The 48 deals of ATo against 87s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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