87s
61.72%
Wins 49.22%, ties 24.98%
86s
38.28%
Wins 25.80%, ties 24.98%
87s against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 87s | 49.224 | 24.982 | 25.794 | 61.715 |
| 86s | 25.794 | 24.982 | 49.224 | 38.285 |
Each side holds one of the suited hands: 87s and 86s. 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.
The lead is steady rather than large, and the flop still has plenty of say in who wins. 24.98% 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 86s holds place 110.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 87s | 10,114,000 | 5,133,000 | 5,300,000 |
| 86s | 5,300,000 | 5,133,000 | 10,114,000 |
Exact total: 12 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 87s | 1.612 | 2.032 | 3.877 | 0.620 |
| 86s | 0.620 | 3.877 | 2.032 | 1.612 |
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
87s prefers low rainbow flops (nine high or lower), where it holds 64.50%, and likes paired flops least, where it holds 57.12%. 87s stays ahead on all five textures.
| Flop | Share of flops | 87s wins | Ties | 86s wins | 87s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 50.925 | 26.156 | 22.919 | 64.003 |
| Rainbow, nine or lower | 5.065 | 59.543 | 9.907 | 30.550 | 64.496 |
| Two-tone | 46.543 | 51.817 | 20.754 | 27.429 | 62.194 |
| Monotone | 5.215 | 49.795 | 17.739 | 32.466 | 58.664 |
| Paired | 17.333 | 36.540 | 41.167 | 22.293 | 57.124 |
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 87s 47.94% and 86s 46.24%. Against each other the change is +13.78 points for 87s and -7.96 for 86s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 87s, all flops | 61.715 | 47.936 | +13.779 | 1.28745 |
| 87s, rainbow, ten or higher | 64.003 | 47.936 | +16.067 | 1.33518 |
| 87s, rainbow, nine or lower | 64.496 | 47.936 | +16.560 | 1.34546 |
| 87s, two-tone | 62.194 | 47.936 | +14.258 | 1.29744 |
| 87s, monotone | 58.664 | 47.936 | +10.728 | 1.22380 |
| 87s, paired | 57.124 | 47.936 | +9.188 | 1.19167 |
| 86s, all flops | 38.285 | 46.243 | -7.958 | 0.82791 |
| 86s, rainbow, ten or higher | 35.997 | 46.243 | -10.246 | 0.77843 |
| 86s, rainbow, nine or lower | 35.504 | 46.243 | -10.739 | 0.76777 |
| 86s, two-tone | 37.806 | 46.243 | -8.437 | 0.81755 |
| 86s, monotone | 41.336 | 46.243 | -4.907 | 0.89389 |
| 86s, paired | 42.876 | 46.243 | -3.367 | 0.92719 |
Does a shared suit matter?
Every legal deal of 87s against 86s leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | 87s wins | Ties | 86s wins | 87s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 49.224 | 24.982 | 25.794 | 61.715 |
How often this matchup comes up
You will meet this exact matchup 0.0015% of the time in a random heads-up deal: 24 of 1,624,350, counting either seat order.
A worked example
With $100 from each side, the $200 pot is split on average as $123.44 for 87s and $76.56 for 86s; the first side gains $23.44 per all-in and the second gives up $23.44.
Think in thousands: about 492 of 1,000 go to 87s, about 258 go to 86s, and about 250 are chopped.
The same matchup from the other side
The reversed view, 86s against 87s, shows 38.28% for 86s and 61.72% for 87s. It is the same count, so it redirects here.
Keep exploring
8s7s against 8h6h 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 12 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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