A6s
67.98%
Wins 66.94%, ties 2.08%
86s
32.02%
Wins 30.98%, ties 2.08%
A6s against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 66.943 | 2.083 | 30.974 | 67.984 |
| 86s | 30.974 | 2.083 | 66.943 | 32.016 |
Each side holds one of the suited hands: A6s and 86s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A6s is well ahead, and 86s needs a specific kind of board to catch up. A split pot comes up on 2.08% of boards, so the wins and the equity differ by half of that.
For context, A6s sits at number 31 of 169 starting hands and 86s at number 110 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 13,755,000 | 428,000 | 6,364,000 |
| 86s | 6,364,000 | 428,000 | 13,755,000 |
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) |
|---|---|---|---|---|
| A6s | 2.123 | 1.494 | 3.229 | 0.471 |
| 86s | 0.471 | 3.229 | 1.494 | 2.123 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Break the boards down by their first three cards and A6s is strongest on rainbow flops topped by a ten or better (72.62%) and weakest on low rainbow flops (nine high or lower) (51.41%). A6s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | A6s wins | Ties | 86s wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.254 | 72.023 | 1.190 | 26.787 | 72.618 |
| Rainbow, nine or lower | 5.654 | 48.461 | 5.900 | 45.639 | 51.411 |
| Two-tone | 46.543 | 65.575 | 1.784 | 32.641 | 66.467 |
| Monotone | 5.215 | 59.762 | 4.183 | 36.055 | 61.853 |
| Paired | 17.334 | 71.403 | 2.312 | 26.285 | 72.559 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 59.91%, A6s changes by +8.07 points, and 86s, from 46.24%, by -14.22.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 67.984 | 59.906 | +8.078 | 1.13484 |
| A6s, rainbow, ten or higher | 72.618 | 59.906 | +12.712 | 1.21220 |
| A6s, rainbow, nine or lower | 51.411 | 59.906 | -8.495 | 0.85819 |
| A6s, two-tone | 66.467 | 59.906 | +6.561 | 1.10952 |
| A6s, monotone | 61.853 | 59.906 | +1.947 | 1.03250 |
| A6s, paired | 72.559 | 59.906 | +12.653 | 1.21121 |
| 86s, all flops | 32.016 | 46.243 | -14.227 | 0.69234 |
| 86s, rainbow, ten or higher | 27.382 | 46.243 | -18.861 | 0.59213 |
| 86s, rainbow, nine or lower | 48.589 | 46.243 | +2.346 | 1.05073 |
| 86s, two-tone | 33.533 | 46.243 | -12.710 | 0.72515 |
| 86s, monotone | 38.147 | 46.243 | -8.096 | 0.82492 |
| 86s, paired | 27.441 | 46.243 | -18.802 | 0.59341 |
Does a shared suit matter?
A shared suit is impossible for this matchup, so A6s' 67.98% is the answer for every suit pattern.
| Deals | Specific deals | Share of deals | A6s wins | Ties | 86s wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 66.943 | 2.083 | 30.974 | 67.984 |
How often this matchup comes up
Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. A6s is worth $135.96 on average (+$35.96); 86s is worth $64.04 (-$35.96).
Scaled to 1,000 deals, that is roughly 669 wins for A6s, 310 for 86s and 21 chopped pots.
The same matchup from the other side
86s versus A6s is this same page seen from the other hand: 32.02% for 86s, 67.98% for A6s.
Keep exploring
As6s 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
Nothing here is simulated. The 12 deals of A6s against 86s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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