AA
78.76%
Wins 78.58%, ties 0.36%
86s
21.24%
Wins 21.06%, ties 0.36%
AA against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 78.584 | 0.360 | 21.056 | 78.764 |
| 86s | 21.056 | 0.360 | 78.584 | 21.236 |
AA is a pocket pair and 86s is a suited hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.
That is a clear edge, 78.76% to 21.24%, but 86s still wins often enough that one hand proves nothing. Split pots make up 0.36% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, AA is number 1 and 86s is number 110.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 32,294,000 | 148,000 | 8,653,000 |
| 86s | 8,653,000 | 148,000 | 32,294,000 |
The board total is exact, 24 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) |
|---|---|---|---|---|
| AA | 3.709 | 1.273 | 4.749 | 0.270 |
| 86s | 0.270 | 4.749 | 1.273 | 3.709 |
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
By flop texture, AA's equity runs from 66.42% on low rainbow flops (nine high or lower) up to 83.77% on rainbow flops topped by a ten or better. AA 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 | AA wins | Ties | 86s wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 83.674 | 0.200 | 16.126 | 83.774 |
| Rainbow, nine or lower | 6.314 | 66.053 | 0.743 | 33.204 | 66.424 |
| Two-tone | 46.545 | 76.660 | 0.296 | 23.044 | 76.808 |
| Monotone | 5.212 | 72.324 | 2.402 | 25.274 | 73.525 |
| Paired | 17.334 | 82.975 | 0.007 | 17.018 | 82.979 |
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
Start from the random-hand figures, 85.20% for AA and 46.24% for 86s. This opponent changes them by -6.44 and -25.00 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 78.764 | 85.204 | -6.440 | 0.92442 |
| AA, rainbow, ten or higher | 83.774 | 85.204 | -1.430 | 0.98322 |
| AA, rainbow, nine or lower | 66.424 | 85.204 | -18.780 | 0.77959 |
| AA, two-tone | 76.808 | 85.204 | -8.396 | 0.90146 |
| AA, monotone | 73.525 | 85.204 | -11.679 | 0.86293 |
| AA, paired | 82.979 | 85.204 | -2.225 | 0.97389 |
| 86s, all flops | 21.236 | 46.243 | -25.007 | 0.45923 |
| 86s, rainbow, ten or higher | 16.226 | 46.243 | -30.017 | 0.35089 |
| 86s, rainbow, nine or lower | 33.576 | 46.243 | -12.667 | 0.72608 |
| 86s, two-tone | 23.192 | 46.243 | -23.051 | 0.50152 |
| 86s, monotone | 26.475 | 46.243 | -19.768 | 0.57252 |
| 86s, paired | 17.021 | 46.243 | -29.222 | 0.36808 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and AA holds 79.34%. In 12 they do not, and it holds 78.19%. AA does better with a shared suit, by 1.15 points.
| Deals | Specific deals | Share of deals | AA wins | Ties | 86s wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.142 | 0.401 | 20.457 | 79.342 |
| No shared suit | 12 | 50.00 | 78.026 | 0.319 | 21.655 | 78.185 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are AA against 86s, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says AA gets $157.52 of it on average and 86s gets $42.48.
Per 1,000 deals: AA wins about 786, 86s wins about 210, and about 4 end in a split pot.
The same matchup from the other side
The mirror image, 86s against AA, is 21.24% to 78.76%, and its address redirects to this page.
Keep exploring
The calculator link fills in AsAh against 8d6d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
This is an exact count with no sampling. For the 24 ways to deal one AA and one 86s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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