ATs
61.70%
Wins 61.48%, ties 0.45%
87s
38.30%
Wins 38.07%, ties 0.45%
ATs against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 61.477 | 0.454 | 38.069 | 61.704 |
| 87s | 38.069 | 0.454 | 61.477 | 38.296 |
ATs and 87s are both suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 23.40 point lead is real, and 87s still takes about 381 of every 1,000 deals outright. The tie share is 0.45%: on those boards the pot is chopped and neither hand wins outright.
By strength against a random hand, ATs holds place 13 of 169 and 87s holds place 100.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 16,843,000 | 124,000 | 10,430,000 |
| 87s | 10,430,000 | 124,000 | 16,843,000 |
The board total is exact, 16 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 | 1.611 | 1.627 | 2.627 | 0.621 |
| 87s | 0.621 | 2.627 | 1.627 | 1.611 |
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
ATs prefers rainbow flops topped by a ten or better, where it holds 67.73%, and likes low rainbow flops (nine high or lower) least, where it holds 38.45%. Low rainbow flops (nine high or lower) favor 87s, the hand that is behind overall.
| Flop | Share of flops | ATs wins | Ties | 87s wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 67.634 | 0.187 | 32.179 | 67.727 |
| Rainbow, nine or lower | 6.314 | 38.274 | 0.353 | 61.373 | 38.451 |
| Two-tone | 46.727 | 60.827 | 0.206 | 38.967 | 60.930 |
| Monotone | 5.273 | 57.289 | 3.389 | 39.322 | 58.983 |
| Paired | 17.091 | 64.257 | 0.645 | 35.098 | 64.580 |
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
Against one random hand instead, ATs holds 64.60% and 87s holds 47.94%. Facing each other changes that by -2.90 points for ATs and -9.64 points for 87s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 61.704 | 64.602 | -2.898 | 0.95514 |
| ATs, rainbow, ten or higher | 67.727 | 64.602 | +3.125 | 1.04837 |
| ATs, rainbow, nine or lower | 38.451 | 64.602 | -26.151 | 0.59520 |
| ATs, two-tone | 60.930 | 64.602 | -3.672 | 0.94316 |
| ATs, monotone | 58.983 | 64.602 | -5.619 | 0.91302 |
| ATs, paired | 64.580 | 64.602 | -0.022 | 0.99966 |
| 87s, all flops | 38.296 | 47.936 | -9.640 | 0.79890 |
| 87s, rainbow, ten or higher | 32.273 | 47.936 | -15.663 | 0.67325 |
| 87s, rainbow, nine or lower | 61.549 | 47.936 | +13.613 | 1.28398 |
| 87s, two-tone | 39.070 | 47.936 | -8.866 | 0.81505 |
| 87s, monotone | 41.017 | 47.936 | -6.919 | 0.85566 |
| 87s, paired | 35.420 | 47.936 | -12.516 | 0.73890 |
Does a shared suit matter?
Split by suits, the deals give ATs 63.93% when the hands overlap in a suit and 60.96% when they do not. ATs does better with a shared suit, by 2.97 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | 87s wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.664 | 0.527 | 35.809 | 63.928 |
| No shared suit | 12 | 75.00 | 60.748 | 0.429 | 38.823 | 60.962 |
How often this matchup comes up
This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).
A worked example
Take a $200 pot built from $100 each. ATs' equity of 61.70% is worth $123.40, a $23.40 edge, and 87s' 38.30% is worth $76.60, which is $23.40 under its stake.
Over a long run, 1,000 deals split into about 615 for ATs, 381 for 87s and 4 tied.
The same matchup from the other side
One page covers both views. From 87s' side the equity is 38.30%, and from ATs' side it is 61.70%.
Keep exploring
Try AsTs against 8h7h 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
Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session