87s
66.61%
Wins 60.40%, ties 12.42%
76s
33.39%
Wins 27.18%, ties 12.42%
87s against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 87s | 60.399 | 12.424 | 27.177 | 66.611 |
| 76s | 27.177 | 12.424 | 60.399 | 33.389 |
87s and 76s are both suited hands. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
That is a clear edge, 66.61% to 33.39%, but 76s still wins often enough that one hand proves nothing. 12.42% of boards are ties, so the equity of each hand is its win rate plus half of that.
By strength against a random hand, 87s holds place 100 of 169 and 76s holds place 115.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 87s | 12,411,000 | 2,553,000 | 5,584,000 |
| 76s | 5,584,000 | 2,553,000 | 12,411,000 |
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) |
|---|---|---|---|---|
| 87s | 1.995 | 1.656 | 3.680 | 0.501 |
| 76s | 0.501 | 3.680 | 1.656 | 1.995 |
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
The flop changes the picture. 87s does best on rainbow flops topped by a ten or better, at 69.59%, and worst on monotone flops, at 61.06%. 87s stays ahead on all five textures.
| Flop | Share of flops | 87s wins | Ties | 76s wins | 87s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 63.474 | 12.221 | 24.305 | 69.585 |
| Rainbow, nine or lower | 5.065 | 59.322 | 7.043 | 33.635 | 62.844 |
| Two-tone | 46.543 | 60.792 | 10.369 | 28.839 | 65.977 |
| Monotone | 5.215 | 55.490 | 11.132 | 33.378 | 61.056 |
| Paired | 17.333 | 56.551 | 20.207 | 23.242 | 66.654 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +18.67 points for 87s, from 47.94%, and -11.98 for 76s, from 45.37%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 87s, all flops | 66.611 | 47.936 | +18.675 | 1.38958 |
| 87s, rainbow, ten or higher | 69.585 | 47.936 | +21.649 | 1.45162 |
| 87s, rainbow, nine or lower | 62.844 | 47.936 | +14.908 | 1.31100 |
| 87s, two-tone | 65.977 | 47.936 | +18.041 | 1.37636 |
| 87s, monotone | 61.056 | 47.936 | +13.120 | 1.27370 |
| 87s, paired | 66.654 | 47.936 | +18.718 | 1.39048 |
| 76s, all flops | 33.389 | 45.372 | -11.983 | 0.73589 |
| 76s, rainbow, ten or higher | 30.415 | 45.372 | -14.957 | 0.67035 |
| 76s, rainbow, nine or lower | 37.156 | 45.372 | -8.216 | 0.81892 |
| 76s, two-tone | 34.023 | 45.372 | -11.349 | 0.74987 |
| 76s, monotone | 38.944 | 45.372 | -6.428 | 0.85833 |
| 76s, paired | 33.346 | 45.372 | -12.026 | 0.73495 |
Does a shared suit matter?
87s and 76s never overlap in suit in a legal deal, so the whole matchup sits in the no-shared-suit row.
| Deals | Specific deals | Share of deals | 87s wins | Ties | 76s wins | 87s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 60.399 | 12.424 | 27.177 | 66.611 |
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 87s takes back $133.22 of it, which is $33.22 more than it put in, and 76s takes back $66.78, $33.22 less than it put in.
Over a long run, 1,000 deals split into about 604 for 87s, 272 for 76s and 124 tied.
The same matchup from the other side
One page covers both views. From 76s' side the equity is 33.39%, and from 87s' side it is 66.61%.
Keep exploring
Open the calculator with 8s7s against 7h6h 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
Method: exact enumeration. The 12 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.
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