AKo
59.67%
Wins 59.45%, ties 0.43%
86s
40.33%
Wins 40.12%, ties 0.43%
AKo against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 59.450 | 0.430 | 40.120 | 59.665 |
| 86s | 40.120 | 0.430 | 59.450 | 40.335 |
AKo, an offsuit hand, plays 86s, a suited hand. 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. Split pots make up 0.43% of the boards, and both equity figures count them as half a win each.
By strength against a random hand, AKo holds place 12 of 169 and 86s holds place 110.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 48,862,000 | 353,000 | 32,975,000 |
| 86s | 32,975,000 | 353,000 | 48,862,000 |
The total is exact: 48 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| AKo | 1.479 | 1.682 | 2.493 | 0.676 |
| 86s | 0.676 | 2.493 | 1.682 | 1.479 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Break the boards down by their first three cards and AKo is strongest on rainbow flops topped by a ten or better (67.75%) and weakest on low rainbow flops (nine high or lower) (33.55%). AKo is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | AKo wins | Ties | 86s wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.681 | 0.139 | 32.180 | 67.750 |
| Rainbow, nine or lower | 6.313 | 33.173 | 0.743 | 66.084 | 33.545 |
| Two-tone | 46.667 | 57.883 | 0.250 | 41.867 | 58.008 |
| Monotone | 5.212 | 56.812 | 2.368 | 40.820 | 57.996 |
| Paired | 17.091 | 62.338 | 0.637 | 37.025 | 62.656 |
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, AKo holds 65.32% and 86s holds 46.24%. Facing each other changes that by -5.65 points for AKo and -5.91 points for 86s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 59.665 | 65.320 | -5.655 | 0.91343 |
| AKo, rainbow, ten or higher | 67.750 | 65.320 | +2.430 | 1.03720 |
| AKo, rainbow, nine or lower | 33.545 | 65.320 | -31.775 | 0.51355 |
| AKo, two-tone | 58.008 | 65.320 | -7.312 | 0.88806 |
| AKo, monotone | 57.996 | 65.320 | -7.324 | 0.88788 |
| AKo, paired | 62.656 | 65.320 | -2.664 | 0.95922 |
| 86s, all flops | 40.335 | 46.243 | -5.908 | 0.87224 |
| 86s, rainbow, ten or higher | 32.250 | 46.243 | -13.993 | 0.69740 |
| 86s, rainbow, nine or lower | 66.455 | 46.243 | +20.212 | 1.43708 |
| 86s, two-tone | 41.992 | 46.243 | -4.251 | 0.90807 |
| 86s, monotone | 42.004 | 46.243 | -4.239 | 0.90833 |
| 86s, paired | 37.344 | 46.243 | -8.899 | 0.80756 |
Does a shared suit matter?
When the hands share a suit, AKo holds 60.37%; when they do not, it holds 58.96%. AKo does better with a shared suit, by 1.41 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | 86s wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.138 | 0.470 | 39.392 | 60.373 |
| No shared suit | 24 | 50.00 | 58.763 | 0.389 | 40.848 | 58.957 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are AKo in one seat and 86s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AKo is worth $119.34 on average (+$19.34); 86s is worth $80.66 (-$19.34).
Out of 1,000 deals you should see around 595 outright wins for AKo, 401 for 86s, and 4 split pots.
The same matchup from the other side
The mirror image, 86s against AKo, is 40.33% to 59.67%, and its address redirects to this page.
Keep exploring
The calculator link fills in AsKh 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
Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session