AKs
75.45%
Wins 73.22%, ties 4.44%
AQo
24.55%
Wins 22.34%, ties 4.44%
AKs against AQo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKs | 73.224 | 4.444 | 22.332 | 75.446 |
| AQo | 22.332 | 4.444 | 73.224 | 24.554 |
AKs, a suited hand, plays AQo, an offsuit hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
That is a clear edge, 75.45% to 24.55%, but AQo still wins often enough that one hand proves nothing. About 4.44% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
The hand ranking puts AKs at 8 and AQo at 14 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKs | 45,137,000 | 2,739,000 | 13,766,000 |
| AQo | 13,766,000 | 2,739,000 | 45,137,000 |
36 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) |
|---|---|---|---|---|
| AKs | 3.073 | 1.366 | 4.478 | 0.325 |
| AQo | 0.325 | 4.478 | 1.366 | 3.073 |
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
Low rainbow flops (nine high or lower) are the best for AKs (85.54%); monotone flops are the worst (67.91%). AKs 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 | AKs wins | Ties | AQo wins | AKs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 71.961 | 1.975 | 26.064 | 72.949 |
| Rainbow, nine or lower | 7.771 | 82.825 | 5.426 | 11.749 | 85.538 |
| Two-tone | 46.527 | 74.763 | 2.671 | 22.566 | 76.098 |
| Monotone | 5.192 | 65.915 | 3.986 | 30.099 | 67.908 |
| Paired | 17.333 | 68.668 | 12.204 | 19.128 | 74.770 |
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, 67.05% for AKs and 64.43% for AQo. This opponent changes them by +8.40 and -39.88 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKs, all flops | 75.446 | 67.045 | +8.401 | 1.12530 |
| AKs, rainbow, ten or higher | 72.949 | 67.045 | +5.904 | 1.08806 |
| AKs, rainbow, nine or lower | 85.538 | 67.045 | +18.493 | 1.27583 |
| AKs, two-tone | 76.098 | 67.045 | +9.053 | 1.13503 |
| AKs, monotone | 67.908 | 67.045 | +0.863 | 1.01287 |
| AKs, paired | 74.770 | 67.045 | +7.725 | 1.11522 |
| AQo, all flops | 24.554 | 64.432 | -39.878 | 0.38108 |
| AQo, rainbow, ten or higher | 27.051 | 64.432 | -37.381 | 0.41984 |
| AQo, rainbow, nine or lower | 14.462 | 64.432 | -49.970 | 0.22445 |
| AQo, two-tone | 23.902 | 64.432 | -40.530 | 0.37096 |
| AQo, monotone | 32.092 | 64.432 | -32.340 | 0.49808 |
| AQo, paired | 25.230 | 64.432 | -39.202 | 0.39158 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (AKs at 75.22%) and 24 do not (75.56%). AKs does better with no shared suit, by 0.34 points.
| Deals | Specific deals | Share of deals | AKs wins | Ties | AQo wins | AKs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 72.963 | 4.514 | 22.523 | 75.220 |
| No shared suit | 24 | 66.67 | 73.355 | 4.409 | 22.236 | 75.560 |
How often this matchup comes up
This page stands for 36 specific-card matchups (0.0022% of 1,624,350 ordered deals), or 72 once you count the seats both ways (0.0044%).
A worked example
With $100 from each side, the $200 pot is split on average as $150.90 for AKs and $49.10 for AQo; the first side gains $50.90 per all-in and the second gives up $50.90.
Per 1,000 deals: AKs wins about 732, AQo wins about 223, and about 45 end in a split pot.
The same matchup from the other side
Swap the hands and you get AQo with 24.55% against AKs with 75.45%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in AsKs against AhQd, 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
Nothing here is simulated. The 36 deals of AKs against AQo 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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