77
66.54%
Wins 66.05%, ties 0.99%
86s
33.46%
Wins 32.96%, ties 0.99%
77 against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 66.045 | 0.992 | 32.963 | 66.541 |
| 86s | 32.963 | 0.992 | 66.045 | 33.459 |
Here a pocket pair (77) meets a suited hand (86s). One of the other hand's cards outranks the pair and one is below it, which makes this a closer race than a pair against two small cards.
That is a clear edge, 66.54% to 33.46%, but 86s still wins often enough that one hand proves nothing. Ties are part of the picture: 0.99% of boards end in a split pot, and each side counts that as half a win.
77 ranks number 9 of 169 starting hands, and 86s ranks number 110, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 27,141,000 | 408,000 | 13,546,000 |
| 86s | 13,546,000 | 408,000 | 27,141,000 |
The board total is exact, 24 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) |
|---|---|---|---|---|
| 77 | 1.989 | 1.514 | 3.034 | 0.503 |
| 86s | 0.503 | 3.034 | 1.514 | 1.989 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for 77 (69.90%); low rainbow flops (nine high or lower) are the worst (58.97%). 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | 86s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 69.591 | 0.611 | 29.798 | 69.897 |
| Rainbow, nine or lower | 5.065 | 58.817 | 0.301 | 40.882 | 58.967 |
| Two-tone | 46.545 | 64.671 | 0.531 | 34.798 | 64.937 |
| Monotone | 5.212 | 60.938 | 2.623 | 36.439 | 62.249 |
| Paired | 17.334 | 68.093 | 2.509 | 29.398 | 69.348 |
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
A random hand would give 77 66.24% and 86s 46.24%. Against each other the change is +0.30 points for 77 and -12.78 for 86s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 66.541 | 66.236 | +0.305 | 1.00460 |
| 77, rainbow, ten or higher | 69.897 | 66.236 | +3.661 | 1.05527 |
| 77, rainbow, nine or lower | 58.967 | 66.236 | -7.269 | 0.89026 |
| 77, two-tone | 64.937 | 66.236 | -1.299 | 0.98039 |
| 77, monotone | 62.249 | 66.236 | -3.987 | 0.93981 |
| 77, paired | 69.348 | 66.236 | +3.112 | 1.04698 |
| 86s, all flops | 33.459 | 46.243 | -12.784 | 0.72355 |
| 86s, rainbow, ten or higher | 30.103 | 46.243 | -16.140 | 0.65097 |
| 86s, rainbow, nine or lower | 41.033 | 46.243 | -5.210 | 0.88733 |
| 86s, two-tone | 35.063 | 46.243 | -11.180 | 0.75823 |
| 86s, monotone | 37.751 | 46.243 | -8.492 | 0.81636 |
| 86s, paired | 30.652 | 46.243 | -15.591 | 0.66285 |
Does a shared suit matter?
Split by suits, the deals give 77 66.76% when the hands overlap in a suit and 66.33% when they do not. 77 does better with a shared suit, by 0.43 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | 86s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 66.240 | 1.032 | 32.728 | 66.756 |
| No shared suit | 12 | 50.00 | 65.850 | 0.952 | 33.198 | 66.326 |
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
A $100 all-in from each player makes a $200 pot, and the exact equity says 77 gets $133.08 of it on average and 86s gets $66.92.
A thousand deals look like this: 77 takes 660, 86s takes 330, 10 are ties.
The same matchup from the other side
Read it from the other side: 86s against 77 is the same matchup with the numbers swapped, so 86s holds 33.46% and 77 holds 66.54%. That address sends you back to this page.
Keep exploring
The calculator link fills in 7s7h against 8d6d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Method: exact enumeration. The 24 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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