AQo
59.65%
Wins 59.44%, ties 0.42%
86s
40.35%
Wins 40.14%, ties 0.42%
AQo against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 59.441 | 0.420 | 40.139 | 59.651 |
| 86s | 40.139 | 0.420 | 59.441 | 40.349 |
AQo is an offsuit hand and 86s is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
AQo is ahead, but 86s is far from dead: it takes 401 of every 1,000 deals outright. 0.42% of boards are ties, so the equity of each hand is its win rate plus half of that.
For context, AQo sits at number 14 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 |
|---|---|---|---|
| AQo | 48,855,000 | 345,000 | 32,990,000 |
| 86s | 32,990,000 | 345,000 | 48,855,000 |
48 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) |
|---|---|---|---|---|
| AQo | 1.478 | 1.682 | 2.491 | 0.676 |
| 86s | 0.676 | 2.491 | 1.682 | 1.478 |
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
Break the boards down by their first three cards and AQo is strongest on rainbow flops topped by a ten or better (67.68%) and weakest on low rainbow flops (nine high or lower) (33.68%). The lead reverses on low rainbow flops (nine high or lower): there 86s is the favorite even though AQo is ahead overall.
| Flop | Share of flops | AQo wins | Ties | 86s wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.618 | 0.129 | 32.253 | 67.682 |
| Rainbow, nine or lower | 6.313 | 33.318 | 0.717 | 65.965 | 33.677 |
| Two-tone | 46.667 | 57.876 | 0.237 | 41.887 | 57.995 |
| Monotone | 5.212 | 56.817 | 2.360 | 40.823 | 57.997 |
| Paired | 17.091 | 62.339 | 0.641 | 37.020 | 62.660 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of -4.78 points for AQo, from 64.43%, and -5.89 for 86s, from 46.24%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 59.651 | 64.432 | -4.781 | 0.92580 |
| AQo, rainbow, ten or higher | 67.682 | 64.432 | +3.250 | 1.05044 |
| AQo, rainbow, nine or lower | 33.677 | 64.432 | -30.755 | 0.52268 |
| AQo, two-tone | 57.995 | 64.432 | -6.437 | 0.90010 |
| AQo, monotone | 57.997 | 64.432 | -6.435 | 0.90013 |
| AQo, paired | 62.660 | 64.432 | -1.772 | 0.97250 |
| 86s, all flops | 40.349 | 46.243 | -5.894 | 0.87254 |
| 86s, rainbow, ten or higher | 32.318 | 46.243 | -13.925 | 0.69887 |
| 86s, rainbow, nine or lower | 66.323 | 46.243 | +20.080 | 1.43423 |
| 86s, two-tone | 42.005 | 46.243 | -4.238 | 0.90835 |
| 86s, monotone | 42.003 | 46.243 | -4.240 | 0.90831 |
| 86s, paired | 37.340 | 46.243 | -8.903 | 0.80747 |
Does a shared suit matter?
Split by suits, the deals give AQo 60.35% when the hands overlap in a suit and 58.95% when they do not. AQo does better with a shared suit, by 1.40 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | 86s wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.123 | 0.461 | 39.416 | 60.354 |
| No shared suit | 24 | 50.00 | 58.758 | 0.380 | 40.862 | 58.948 |
How often this matchup comes up
AQo against 86s is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. AQo averages $119.30 from the $200, up $19.30; 86s averages $80.70, down $19.30.
Per 1,000 deals: AQo wins about 595, 86s wins about 401, and about 4 end in a split pot.
The same matchup from the other side
Read it from the other side: 86s against AQo is the same matchup with the numbers swapped, so 86s holds 40.35% and AQo holds 59.65%. That address sends you back to this page.
Keep exploring
Try AsQh against 8d6d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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