AA
87.86%
Wins 87.23%, ties 1.26%
AKs
12.14%
Wins 11.51%, ties 1.26%
AA against AKs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 87.231 | 1.256 | 11.513 | 87.859 |
| AKs | 11.513 | 1.256 | 87.231 | 12.141 |
Here a pocket pair (AA) meets a suited hand (AKs). One hand holds a card of the same rank as the pair, which removes a card the pair needs and makes the pair a bigger favorite.
This is one of the lopsided matchups: AKs wins only 11.51% of the boards outright. A split pot comes up on 1.26% of boards, so the wins and the equity differ by half of that.
For context, AA sits at number 1 of 169 starting hands and AKs at number 8 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 17,924,000 | 258,000 | 2,366,000 |
| AKs | 2,366,000 | 258,000 | 17,924,000 |
12 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) |
|---|---|---|---|---|
| AA | 7.237 | 1.146 | 8.686 | 0.138 |
| AKs | 0.138 | 8.686 | 1.146 | 7.237 |
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 AA is strongest on low rainbow flops (nine high or lower) (94.89%) and weakest on monotone flops (77.66%). 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 | AKs wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.011 | 89.840 | 1.020 | 9.140 | 90.350 |
| Rainbow, nine or lower | 7.771 | 93.487 | 2.801 | 3.712 | 94.887 |
| Two-tone | 46.236 | 85.789 | 1.326 | 12.885 | 86.452 |
| Monotone | 5.151 | 76.490 | 2.339 | 21.171 | 77.660 |
| Paired | 17.831 | 87.983 | 0.393 | 11.624 | 88.180 |
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
The table below sets each hand against its own random-hand baseline: a change of +2.66 points for AA, from 85.20%, and -54.91 for AKs, from 67.05%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 87.859 | 85.204 | +2.655 | 1.03116 |
| AA, rainbow, ten or higher | 90.350 | 85.204 | +5.146 | 1.06040 |
| AA, rainbow, nine or lower | 94.887 | 85.204 | +9.683 | 1.11364 |
| AA, two-tone | 86.452 | 85.204 | +1.248 | 1.01465 |
| AA, monotone | 77.660 | 85.204 | -7.544 | 0.91146 |
| AA, paired | 88.180 | 85.204 | +2.976 | 1.03493 |
| AKs, all flops | 12.141 | 67.045 | -54.904 | 0.18109 |
| AKs, rainbow, ten or higher | 9.650 | 67.045 | -57.395 | 0.14393 |
| AKs, rainbow, nine or lower | 5.113 | 67.045 | -61.932 | 0.07626 |
| AKs, two-tone | 13.548 | 67.045 | -53.497 | 0.20207 |
| AKs, monotone | 22.340 | 67.045 | -44.705 | 0.33321 |
| AKs, paired | 11.820 | 67.045 | -55.225 | 0.17630 |
Does a shared suit matter?
AA and AKs never overlap in suit in a legal deal, so the whole matchup sits in the no-shared-suit row.
| Deals | Specific deals | Share of deals | AA wins | Ties | AKs wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 87.231 | 1.256 | 11.513 | 87.859 |
How often this matchup comes up
The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, AA's average share is $175.72 (a gain of $75.72) and AKs' is $24.28 (a loss of $75.72).
Scaled to 1,000 deals, that is roughly 872 wins for AA, 115 for AKs and 13 chopped pots.
The same matchup from the other side
AKs against AA adds nothing new: it is 12.14% for AKs and 87.86% for AA, the same figures reversed.
Keep exploring
Try AsAh against AdKd 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 12 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.
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