A5s
56.69%
Wins 56.43%, ties 0.51%
86s
43.31%
Wins 43.06%, ties 0.51%
A5s against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A5s | 56.434 | 0.505 | 43.061 | 56.686 |
| 86s | 43.061 | 0.505 | 56.434 | 43.314 |
A5s meets 86s, and both are suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. A split pot comes up on 0.51% of boards, so the wins and the equity differ by half of that.
A5s ranks number 30 of 169 starting hands, and 86s ranks number 110, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A5s | 15,461,000 | 138,000 | 11,797,000 |
| 86s | 11,797,000 | 138,000 | 15,461,000 |
16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| A5s | 1.309 | 1.772 | 2.322 | 0.764 |
| 86s | 0.764 | 2.322 | 1.772 | 1.309 |
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
If you know the kind of flop that came, the numbers shift: A5s holds 62.34% on paired flops and 38.15% on low rainbow flops (nine high or lower). On low rainbow flops (nine high or lower) the numbers flip and 86s is the one ahead.
| Flop | Share of flops | A5s wins | Ties | 86s wins | A5s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 59.760 | 0.209 | 40.031 | 59.865 |
| Rainbow, nine or lower | 5.689 | 37.837 | 0.627 | 61.536 | 38.150 |
| Two-tone | 46.727 | 55.312 | 0.261 | 44.427 | 55.442 |
| Monotone | 5.273 | 52.477 | 3.426 | 44.097 | 54.190 |
| Paired | 17.091 | 62.002 | 0.669 | 37.329 | 62.337 |
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
How much does the opponent matter? Compared with its random-hand 59.92%, A5s changes by -3.23 points, and 86s, from 46.24%, by -2.93.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A5s, all flops | 56.686 | 59.923 | -3.237 | 0.94598 |
| A5s, rainbow, ten or higher | 59.865 | 59.923 | -0.058 | 0.99903 |
| A5s, rainbow, nine or lower | 38.150 | 59.923 | -21.773 | 0.63665 |
| A5s, two-tone | 55.442 | 59.923 | -4.481 | 0.92522 |
| A5s, monotone | 54.190 | 59.923 | -5.733 | 0.90433 |
| A5s, paired | 62.337 | 59.923 | +2.414 | 1.04029 |
| 86s, all flops | 43.314 | 46.243 | -2.929 | 0.93666 |
| 86s, rainbow, ten or higher | 40.135 | 46.243 | -6.108 | 0.86792 |
| 86s, rainbow, nine or lower | 61.850 | 46.243 | +15.607 | 1.33750 |
| 86s, two-tone | 44.558 | 46.243 | -1.685 | 0.96356 |
| 86s, monotone | 45.810 | 46.243 | -0.433 | 0.99064 |
| 86s, paired | 37.663 | 46.243 | -8.580 | 0.81446 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, A5s has 58.54%; looking only at deals where they do not, 56.07%. A5s does better with a shared suit, by 2.47 points.
| Deals | Specific deals | Share of deals | A5s wins | Ties | 86s wins | A5s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 58.250 | 0.583 | 41.167 | 58.541 |
| No shared suit | 12 | 75.00 | 55.828 | 0.479 | 43.693 | 56.068 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average A5s takes back $113.38 of it, which is $13.38 more than it put in, and 86s takes back $86.62, $13.38 less than it put in.
A thousand deals look like this: A5s takes 564, 86s takes 431, 5 are ties.
The same matchup from the other side
The reversed view, 86s against A5s, shows 43.31% for 86s and 56.69% for A5s. It is the same count, so it redirects here.
Keep exploring
As5s 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
We counted every case. Each suit pattern of the 16 specific A5s against 86s 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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