AKo
69.96%
Wins 67.71%, ties 4.49%
A9s
30.04%
Wins 27.80%, ties 4.49%
AKo against A9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 67.712 | 4.491 | 27.797 | 69.957 |
| A9s | 27.797 | 4.491 | 67.712 | 30.043 |
We compare an offsuit hand with a suited hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
That is a clear edge, 69.96% to 30.04%, but A9s still wins often enough that one hand proves nothing. A split pot comes up on 4.49% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, AKo is number 12 and A9s is number 18 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 41,740,000 | 2,768,000 | 17,135,000 |
| A9s | 17,135,000 | 2,768,000 | 41,740,000 |
Exact total: 36 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AKo | 2.329 | 1.477 | 3.598 | 0.429 |
| A9s | 0.429 | 3.598 | 1.477 | 2.329 |
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 AKo is strongest on rainbow flops topped by a ten or better (76.96%) and weakest on low rainbow flops (nine high or lower) (58.07%). AKo 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 | AKo wins | Ties | A9s wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 75.742 | 2.440 | 21.818 | 76.962 |
| Rainbow, nine or lower | 7.042 | 55.839 | 4.466 | 39.695 | 58.072 |
| Two-tone | 46.527 | 67.446 | 2.717 | 29.837 | 68.804 |
| Monotone | 5.192 | 62.506 | 4.005 | 33.489 | 64.508 |
| Paired | 17.334 | 63.735 | 12.237 | 24.028 | 69.853 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Against one random hand instead, AKo holds 65.32% and A9s holds 62.78%. Facing each other changes that by +4.64 points for AKo and -32.74 points for A9s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 69.957 | 65.320 | +4.637 | 1.07099 |
| AKo, rainbow, ten or higher | 76.962 | 65.320 | +11.642 | 1.17823 |
| AKo, rainbow, nine or lower | 58.072 | 65.320 | -7.248 | 0.88904 |
| AKo, two-tone | 68.804 | 65.320 | +3.484 | 1.05334 |
| AKo, monotone | 64.508 | 65.320 | -0.812 | 0.98757 |
| AKo, paired | 69.853 | 65.320 | +4.533 | 1.06940 |
| A9s, all flops | 30.043 | 62.781 | -32.738 | 0.47854 |
| A9s, rainbow, ten or higher | 23.038 | 62.781 | -39.743 | 0.36696 |
| A9s, rainbow, nine or lower | 41.928 | 62.781 | -20.853 | 0.66785 |
| A9s, two-tone | 31.196 | 62.781 | -31.585 | 0.49690 |
| A9s, monotone | 35.492 | 62.781 | -27.289 | 0.56533 |
| A9s, paired | 30.147 | 62.781 | -32.634 | 0.48019 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AKo has 70.80%; looking only at deals where they do not, 69.54%. AKo does better with a shared suit, by 1.26 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | A9s wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 68.511 | 4.570 | 26.919 | 70.796 |
| No shared suit | 24 | 66.67 | 67.312 | 4.451 | 28.237 | 69.538 |
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
A $100 all-in from each player makes a $200 pot, and the exact equity says AKo gets $139.92 of it on average and A9s gets $60.08.
In 1,000 deals of exactly this matchup, expect about 677 won outright by AKo, about 278 won outright by A9s and about 45 split.
The same matchup from the other side
Swap the hands and you get A9s with 30.04% against AKo with 69.96%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try AsKh against Ad9d 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
Nothing here is simulated. The 36 deals of AKo against A9s 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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