86s
65.20%
Wins 58.77%, ties 12.86%
65s
34.80%
Wins 28.37%, ties 12.86%
86s against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 86s | 58.772 | 12.856 | 28.372 | 65.200 |
| 65s | 28.372 | 12.856 | 58.772 | 34.800 |
This is a contest between two suited hands, 86s and 65s. 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.
That is a clear edge, 65.20% to 34.80%, but 65s still wins often enough that one hand proves nothing. About 12.86% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Place 110 of 169 belongs to 86s and place 128 belongs to 65s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 86s | 12,076,000 | 2,642,000 | 5,830,000 |
| 65s | 5,830,000 | 2,642,000 | 12,076,000 |
The total is exact: 12 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 86s | 1.874 | 1.701 | 3.525 | 0.534 |
| 65s | 0.534 | 3.525 | 1.701 | 1.874 |
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
By flop texture, 86s' equity runs from 59.72% on low rainbow flops (nine high or lower) up to 68.15% on rainbow flops topped by a ten or better. 86s stays ahead on all five textures.
| Flop | Share of flops | 86s wins | Ties | 65s wins | 86s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 61.917 | 12.462 | 25.621 | 68.148 |
| Rainbow, nine or lower | 5.065 | 55.379 | 8.689 | 35.932 | 59.723 |
| Two-tone | 46.543 | 59.145 | 10.776 | 30.079 | 64.533 |
| Monotone | 5.215 | 54.426 | 11.445 | 34.129 | 60.149 |
| Paired | 17.333 | 55.380 | 20.667 | 23.953 | 65.714 |
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
Each hand has a baseline against a random hand: 46.24% for 86s, 43.13% for 65s. Here the change is +18.96 and -8.33 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 86s, all flops | 65.200 | 46.243 | +18.957 | 1.40994 |
| 86s, rainbow, ten or higher | 68.148 | 46.243 | +21.905 | 1.47369 |
| 86s, rainbow, nine or lower | 59.723 | 46.243 | +13.480 | 1.29150 |
| 86s, two-tone | 64.533 | 46.243 | +18.290 | 1.39552 |
| 86s, monotone | 60.149 | 46.243 | +13.906 | 1.30072 |
| 86s, paired | 65.714 | 46.243 | +19.471 | 1.42106 |
| 65s, all flops | 34.800 | 43.133 | -8.333 | 0.80681 |
| 65s, rainbow, ten or higher | 31.852 | 43.133 | -11.281 | 0.73846 |
| 65s, rainbow, nine or lower | 40.277 | 43.133 | -2.856 | 0.93379 |
| 65s, two-tone | 35.467 | 43.133 | -7.666 | 0.82227 |
| 65s, monotone | 39.851 | 43.133 | -3.282 | 0.92391 |
| 65s, paired | 34.286 | 43.133 | -8.847 | 0.79489 |
Does a shared suit matter?
Every legal deal of 86s against 65s leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | 86s wins | Ties | 65s wins | 86s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 58.772 | 12.856 | 28.372 | 65.200 |
How often this matchup comes up
The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. 86s averages $130.40 from the $200, up $30.40; 65s averages $69.60, down $30.40.
In 1,000 deals of exactly this matchup, expect about 588 won outright by 86s, about 284 won outright by 65s and about 128 split.
The same matchup from the other side
Swap the hands and you get 65s with 34.80% against 86s with 65.20%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in 8s6s against 6h5h, 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
Each figure is a complete count over boards. Take the 12 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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