86s
65.91%
Wins 59.72%, ties 12.38%
76s
34.09%
Wins 27.90%, ties 12.38%
86s against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 86s | 59.716 | 12.379 | 27.905 | 65.905 |
| 76s | 27.905 | 12.379 | 59.716 | 34.095 |
Two suited hands meet here: 86s against 76s. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
A lead of 31.82 points is large but not decisive: 76s still takes about 279 of every 1,000 deals. About 12.38% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
For context, 86s sits at number 110 of 169 starting hands and 76s at number 115 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 86s | 12,270,000 | 2,544,000 | 5,734,000 |
| 76s | 5,734,000 | 2,544,000 | 12,270,000 |
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) |
|---|---|---|---|---|
| 86s | 1.933 | 1.675 | 3.584 | 0.517 |
| 76s | 0.517 | 3.584 | 1.675 | 1.933 |
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
Split by what the flop looks like, 86s peaks at 68.82% on rainbow flops topped by a ten or better and bottoms out at 60.49% on monotone flops. 86s stays ahead on all five textures.
| Flop | Share of flops | 86s wins | Ties | 76s wins | 86s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 62.718 | 12.203 | 25.079 | 68.819 |
| Rainbow, nine or lower | 5.065 | 59.007 | 6.902 | 34.091 | 62.458 |
| Two-tone | 46.543 | 60.165 | 10.310 | 29.525 | 65.320 |
| Monotone | 5.215 | 54.979 | 11.019 | 34.002 | 60.489 |
| Paired | 17.333 | 55.664 | 20.207 | 24.129 | 65.768 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Against one random hand instead, 86s holds 46.24% and 76s holds 45.37%. Facing each other changes that by +19.67 points for 86s and -11.28 points for 76s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 86s, all flops | 65.905 | 46.243 | +19.662 | 1.42519 |
| 86s, rainbow, ten or higher | 68.819 | 46.243 | +22.576 | 1.48820 |
| 86s, rainbow, nine or lower | 62.458 | 46.243 | +16.215 | 1.35065 |
| 86s, two-tone | 65.320 | 46.243 | +19.077 | 1.41254 |
| 86s, monotone | 60.489 | 46.243 | +14.246 | 1.30807 |
| 86s, paired | 65.768 | 46.243 | +19.525 | 1.42223 |
| 76s, all flops | 34.095 | 45.372 | -11.277 | 0.75145 |
| 76s, rainbow, ten or higher | 31.181 | 45.372 | -14.191 | 0.68723 |
| 76s, rainbow, nine or lower | 37.542 | 45.372 | -7.830 | 0.82743 |
| 76s, two-tone | 34.680 | 45.372 | -10.692 | 0.76435 |
| 76s, monotone | 39.511 | 45.372 | -5.861 | 0.87082 |
| 76s, paired | 34.232 | 45.372 | -11.140 | 0.75447 |
Does a shared suit matter?
Suits do not split this matchup, because no legal deal has the hands holding the same suit.
| Deals | Specific deals | Share of deals | 86s wins | Ties | 76s wins | 86s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 59.716 | 12.379 | 27.905 | 65.905 |
How often this matchup comes up
How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are 86s against 76s, and 24 (0.0015%) if either hand may sit in either seat.
A worked example
With $100 from each side, the $200 pot is split on average as $131.82 for 86s and $68.18 for 76s; the first side gains $31.82 per all-in and the second gives up $31.82.
Run 1,000 deals and the tally comes out near 597 for 86s, 279 for 76s and 124 ties.
The same matchup from the other side
Read it from the other side: 76s against 86s is the same matchup with the numbers swapped, so 76s holds 34.09% and 86s holds 65.91%. That address sends you back to this page.
Keep exploring
8s6s against 7h6h 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
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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