86s
65.90%
Wins 59.43%, ties 12.95%
64s
34.10%
Wins 27.62%, ties 12.95%
86s against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 86s | 59.425 | 12.951 | 27.624 | 65.901 |
| 64s | 27.624 | 12.951 | 59.425 | 34.099 |
Two suited hands meet here: 86s against 64s. 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.
86s is the clear favorite, though 64s gets there on roughly one board in 3. Split pots make up 12.95% of the boards, and both equity figures count them as half a win each.
86s ranks number 110 of 169 starting hands, and 64s ranks number 138, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 86s | 12,210,000 | 2,661,000 | 5,676,000 |
| 64s | 5,676,000 | 2,661,000 | 12,210,000 |
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) |
|---|---|---|---|---|
| 86s | 1.933 | 1.683 | 3.620 | 0.517 |
| 64s | 0.517 | 3.620 | 1.683 | 1.933 |
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
Split by what the flop looks like, 86s peaks at 68.50% on rainbow flops topped by a ten or better and bottoms out at 60.67% on monotone flops. 86s stays ahead on all five textures.
| Flop | Share of flops | 86s wins | Ties | 64s wins | 86s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 62.235 | 12.524 | 25.241 | 68.497 |
| Rainbow, nine or lower | 5.065 | 58.494 | 9.065 | 32.441 | 63.026 |
| Two-tone | 46.543 | 59.820 | 10.873 | 29.307 | 65.256 |
| Monotone | 5.215 | 54.915 | 11.514 | 33.571 | 60.672 |
| Paired | 17.333 | 55.806 | 20.736 | 23.458 | 66.174 |
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, 41.33% for 64s. Here the change is +19.66 and -7.23 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 86s, all flops | 65.901 | 46.243 | +19.658 | 1.42510 |
| 86s, rainbow, ten or higher | 68.497 | 46.243 | +22.254 | 1.48124 |
| 86s, rainbow, nine or lower | 63.026 | 46.243 | +16.783 | 1.36293 |
| 86s, two-tone | 65.256 | 46.243 | +19.013 | 1.41115 |
| 86s, monotone | 60.672 | 46.243 | +14.429 | 1.31203 |
| 86s, paired | 66.174 | 46.243 | +19.931 | 1.43101 |
| 64s, all flops | 34.099 | 41.333 | -7.234 | 0.82498 |
| 64s, rainbow, ten or higher | 31.503 | 41.333 | -9.830 | 0.76218 |
| 64s, rainbow, nine or lower | 36.974 | 41.333 | -4.359 | 0.89454 |
| 64s, two-tone | 34.744 | 41.333 | -6.589 | 0.84059 |
| 64s, monotone | 39.328 | 41.333 | -2.005 | 0.95149 |
| 64s, paired | 33.826 | 41.333 | -7.507 | 0.81838 |
Does a shared suit matter?
The hands cannot hold a suit in common here, which leaves a single case and a single number: 65.90% for 86s.
| Deals | Specific deals | Share of deals | 86s wins | Ties | 64s wins | 86s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 59.425 | 12.951 | 27.624 | 65.901 |
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 86s takes back $131.80 of it, which is $31.80 more than it put in, and 64s takes back $68.20, $31.80 less than it put in.
Scaled to 1,000 deals, that is roughly 594 wins for 86s, 276 for 64s and 130 chopped pots.
The same matchup from the other side
The reversed view, 64s against 86s, shows 34.10% for 64s and 65.90% for 86s. It is the same count, so it redirects here.
Keep exploring
Try 8s6s against 6h4h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
We counted every case. Each suit pattern of the 12 specific 86s against 64s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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