86s
63.28%
Wins 61.01%, ties 4.54%
53s
36.72%
Wins 34.45%, ties 4.54%
86s against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 86s | 61.011 | 4.544 | 34.445 | 63.283 |
| 53s | 34.445 | 4.544 | 61.011 | 36.717 |
Here suited hands face each other, 86s on one side and 53s on the other. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Of every 100 boards, about 4.54 are split pots, and the equity figures already include them.
Among the 169 starting hands, 86s is number 110 and 53s is number 146 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 86s | 16,715,000 | 1,245,000 | 9,437,000 |
| 53s | 9,437,000 | 1,245,000 | 16,715,000 |
The board total is exact, 16 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 | 1.724 | 1.639 | 2.903 | 0.580 |
| 53s | 0.580 | 2.903 | 1.639 | 1.724 |
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
Break the boards down by their first three cards and 86s is strongest on rainbow flops topped by a ten or better (64.61%) and weakest on monotone flops (60.87%). 86s stays ahead on all five textures.
| Flop | Share of flops | 86s wins | Ties | 53s wins | 86s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 62.653 | 3.908 | 33.439 | 64.607 |
| Rainbow, nine or lower | 5.065 | 62.099 | 0.712 | 37.189 | 62.455 |
| Two-tone | 46.727 | 61.674 | 2.993 | 35.333 | 63.170 |
| Monotone | 5.273 | 58.204 | 5.330 | 36.466 | 60.869 |
| Paired | 17.091 | 57.258 | 10.638 | 32.104 | 62.577 |
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
Against one random hand instead, 86s holds 46.24% and 53s holds 39.69%. Facing each other changes that by +17.04 points for 86s and -2.97 points for 53s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 86s, all flops | 63.283 | 46.243 | +17.040 | 1.36849 |
| 86s, rainbow, ten or higher | 64.607 | 46.243 | +18.364 | 1.39712 |
| 86s, rainbow, nine or lower | 62.455 | 46.243 | +16.212 | 1.35058 |
| 86s, two-tone | 63.170 | 46.243 | +16.927 | 1.36604 |
| 86s, monotone | 60.869 | 46.243 | +14.626 | 1.31629 |
| 86s, paired | 62.577 | 46.243 | +16.334 | 1.35322 |
| 53s, all flops | 36.717 | 39.693 | -2.976 | 0.92502 |
| 53s, rainbow, ten or higher | 35.393 | 39.693 | -4.300 | 0.89167 |
| 53s, rainbow, nine or lower | 37.545 | 39.693 | -2.148 | 0.94588 |
| 53s, two-tone | 36.830 | 39.693 | -2.863 | 0.92787 |
| 53s, monotone | 39.131 | 39.693 | -0.562 | 0.98584 |
| 53s, paired | 37.423 | 39.693 | -2.270 | 0.94281 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common 86s has 65.74% equity, and with none in common it has 62.46%. 86s does better with a shared suit, by 3.28 points.
| Deals | Specific deals | Share of deals | 86s wins | Ties | 53s wins | 86s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.299 | 4.881 | 31.820 | 65.739 |
| No shared suit | 12 | 75.00 | 60.249 | 4.431 | 35.320 | 62.464 |
How often this matchup comes up
You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.
A worked example
Put $100 each into a $200 pot and deal every board once: 86s averages $126.56 back, ahead of its $100 by $26.56, while 53s averages $73.44, short of its $100 by $26.56.
A thousand deals look like this: 86s takes 610, 53s takes 345, 45 are ties.
The same matchup from the other side
If you came looking for 53s against 86s, the numbers are the same with the hands swapped: 36.72% and 63.28%.
Keep exploring
Open the calculator with 8s6s against 5h3h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
We counted every case. Each suit pattern of the 16 specific 86s against 53s 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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