AA
93.17%
Wins 92.51%, ties 1.32%
AKo
6.83%
Wins 6.17%, ties 1.32%
AA against AKo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 92.514 | 1.316 | 6.170 | 93.172 |
| AKo | 6.170 | 1.316 | 92.514 | 6.828 |
Here a pocket pair (AA) meets an offsuit hand (AKo). 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.
AA is a big favorite here before anyone sees a flop. Ties are 1.32% of the outcomes here; each tied board gives both hands half the pot.
Ranked by equity against a random hand, AA is number 1 of the 169 starting hands and AKo is number 12.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 57,028,000 | 811,000 | 3,803,000 |
| AKo | 3,803,000 | 811,000 | 57,028,000 |
The total is exact: 36 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) |
|---|---|---|---|---|
| AA | 13.646 | 1.081 | 16.207 | 0.073 |
| AKo | 0.073 | 16.207 | 1.081 | 13.646 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Split by what the flop looks like, AA peaks at 98.23% on low rainbow flops (nine high or lower) and bottoms out at 83.87% on monotone flops. AA stays ahead on all five textures.
| Flop | Share of flops | AA wins | Ties | AKo wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.053 | 92.877 | 1.052 | 6.071 | 93.403 |
| Rainbow, nine or lower | 7.771 | 96.768 | 2.929 | 0.303 | 98.232 |
| Two-tone | 46.215 | 92.584 | 1.452 | 5.964 | 93.310 |
| Monotone | 5.130 | 82.880 | 1.988 | 15.132 | 83.874 |
| Paired | 17.831 | 92.782 | 0.407 | 6.811 | 92.986 |
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
The table below sets each hand against its own random-hand baseline: a change of +7.97 points for AA, from 85.20%, and -58.49 for AKo, from 65.32%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 93.172 | 85.204 | +7.968 | 1.09352 |
| AA, rainbow, ten or higher | 93.403 | 85.204 | +8.199 | 1.09623 |
| AA, rainbow, nine or lower | 98.232 | 85.204 | +13.028 | 1.15290 |
| AA, two-tone | 93.310 | 85.204 | +8.106 | 1.09514 |
| AA, monotone | 83.874 | 85.204 | -1.330 | 0.98439 |
| AA, paired | 92.986 | 85.204 | +7.782 | 1.09133 |
| AKo, all flops | 6.828 | 65.320 | -58.492 | 0.10453 |
| AKo, rainbow, ten or higher | 6.597 | 65.320 | -58.723 | 0.10100 |
| AKo, rainbow, nine or lower | 1.768 | 65.320 | -63.552 | 0.02707 |
| AKo, two-tone | 6.690 | 65.320 | -58.630 | 0.10242 |
| AKo, monotone | 16.126 | 65.320 | -49.194 | 0.24688 |
| AKo, paired | 7.014 | 65.320 | -58.306 | 0.10738 |
Does a shared suit matter?
Does suit overlap move the numbers? AA has 93.47% when the hands share a suit and 92.58% when they do not. AA does better with a shared suit, by 0.89 points.
| Deals | Specific deals | Share of deals | AA wins | Ties | AKo wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 66.67 | 92.797 | 1.347 | 5.856 | 93.470 |
| No shared suit | 12 | 33.33 | 91.948 | 1.253 | 6.799 | 92.575 |
How often this matchup comes up
The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AA is worth $186.34 on average (+$86.34); AKo is worth $13.66 (-$86.34).
Out of 1,000 deals you should see around 925 outright wins for AA, 62 for AKo, and 13 split pots.
The same matchup from the other side
The mirror image, AKo against AA, is 6.83% to 93.17%, and its address redirects to this page.
Keep exploring
The calculator link fills in AsAh against AdKc, 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 AA against AKo 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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