AJs
62.53%
Wins 62.30%, ties 0.47%
86s
37.47%
Wins 37.23%, ties 0.47%
AJs against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 62.297 | 0.467 | 37.236 | 62.530 |
| 86s | 37.236 | 0.467 | 62.297 | 37.470 |
Two suited hands meet here: AJs against 86s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 25.06 point lead is real, and 86s still takes about 372 of every 1,000 deals outright. Split pots make up 0.47% of the boards, and both equity figures count them as half a win each.
Place 11 of 169 belongs to AJs and place 110 belongs to 86s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 17,067,000 | 128,000 | 10,201,000 |
| 86s | 10,201,000 | 128,000 | 17,067,000 |
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) |
|---|---|---|---|---|
| AJs | 1.669 | 1.605 | 2.686 | 0.599 |
| 86s | 0.599 | 2.686 | 1.605 | 1.669 |
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: AJs holds 69.35% on rainbow flops topped by a ten or better and 36.76% on low rainbow flops (nine high or lower). Watch for low rainbow flops (nine high or lower): on those flops 86s holds the better equity.
| Flop | Share of flops | AJs wins | Ties | 86s wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.279 | 0.140 | 30.581 | 69.349 |
| Rainbow, nine or lower | 6.314 | 36.446 | 0.633 | 62.921 | 36.762 |
| Two-tone | 46.727 | 61.726 | 0.221 | 38.053 | 61.837 |
| Monotone | 5.273 | 58.119 | 3.396 | 38.485 | 59.817 |
| Paired | 17.091 | 64.646 | 0.645 | 34.709 | 64.969 |
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
Each hand has a baseline against a random hand: 65.39% for AJs, 46.24% for 86s. Here the change is -2.86 and -8.77 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 62.530 | 65.393 | -2.863 | 0.95622 |
| AJs, rainbow, ten or higher | 69.349 | 65.393 | +3.956 | 1.06050 |
| AJs, rainbow, nine or lower | 36.762 | 65.393 | -28.631 | 0.56217 |
| AJs, two-tone | 61.837 | 65.393 | -3.556 | 0.94562 |
| AJs, monotone | 59.817 | 65.393 | -5.576 | 0.91473 |
| AJs, paired | 64.969 | 65.393 | -0.424 | 0.99352 |
| 86s, all flops | 37.470 | 46.243 | -8.773 | 0.81028 |
| 86s, rainbow, ten or higher | 30.651 | 46.243 | -15.592 | 0.66282 |
| 86s, rainbow, nine or lower | 63.238 | 46.243 | +16.995 | 1.36752 |
| 86s, two-tone | 38.163 | 46.243 | -8.080 | 0.82527 |
| 86s, monotone | 40.183 | 46.243 | -6.060 | 0.86895 |
| 86s, paired | 35.031 | 46.243 | -11.212 | 0.75754 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (AJs at 64.79%) and 12 do not (61.78%). AJs does better with a shared suit, by 3.01 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | 86s wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.522 | 0.543 | 34.935 | 64.793 |
| No shared suit | 12 | 75.00 | 61.555 | 0.442 | 38.003 | 61.776 |
How often this matchup comes up
AJs against 86s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says AJs gets $125.06 of it on average and 86s gets $74.94.
Out of 1,000 deals you should see around 623 outright wins for AJs, 372 for 86s, and 5 split pots.
The same matchup from the other side
If you came looking for 86s against AJs, the numbers are the same with the hands swapped: 37.47% and 62.53%.
Keep exploring
AsJs 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
Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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