AKo
71.75%
Wins 71.15%, ties 1.20%
K9s
28.25%
Wins 27.65%, ties 1.20%
AKo against K9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 71.152 | 1.203 | 27.645 | 71.754 |
| K9s | 27.645 | 1.203 | 71.152 | 28.246 |
The matchup pits an offsuit hand against 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, 71.75% to 28.25%, but K9s still wins often enough that one hand proves nothing. The tie share is 1.20%: on those boards the pot is chopped and neither hand wins outright.
The hand ranking puts AKo at 12 and K9s at 29 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 43,860,000 | 742,000 | 17,041,000 |
| K9s | 17,041,000 | 742,000 | 43,860,000 |
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 | 2.540 | 1.405 | 3.617 | 0.394 |
| K9s | 0.394 | 3.617 | 1.405 | 2.540 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: AKo holds 77.71% on rainbow flops topped by a ten or better and 59.78% on low rainbow flops (nine high or lower). 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 | K9s wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 77.246 | 0.936 | 21.818 | 77.714 |
| Rainbow, nine or lower | 7.042 | 59.258 | 1.047 | 39.695 | 59.782 |
| Two-tone | 46.527 | 69.438 | 0.885 | 29.677 | 69.881 |
| Monotone | 5.192 | 65.132 | 2.600 | 32.268 | 66.432 |
| Paired | 17.334 | 73.985 | 2.068 | 23.947 | 75.019 |
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
Against one random hand instead, AKo holds 65.32% and K9s holds 59.99%. Facing each other changes that by +6.43 points for AKo and -31.74 points for K9s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 71.754 | 65.320 | +6.434 | 1.09850 |
| AKo, rainbow, ten or higher | 77.714 | 65.320 | +12.394 | 1.18974 |
| AKo, rainbow, nine or lower | 59.782 | 65.320 | -5.538 | 0.91522 |
| AKo, two-tone | 69.881 | 65.320 | +4.561 | 1.06983 |
| AKo, monotone | 66.432 | 65.320 | +1.112 | 1.01702 |
| AKo, paired | 75.019 | 65.320 | +9.699 | 1.14848 |
| K9s, all flops | 28.246 | 59.988 | -31.742 | 0.47086 |
| K9s, rainbow, ten or higher | 22.286 | 59.988 | -37.702 | 0.37151 |
| K9s, rainbow, nine or lower | 40.218 | 59.988 | -19.770 | 0.67043 |
| K9s, two-tone | 30.119 | 59.988 | -29.869 | 0.50208 |
| K9s, monotone | 33.568 | 59.988 | -26.420 | 0.55958 |
| K9s, paired | 24.981 | 59.988 | -35.007 | 0.41643 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AKo has 72.90%; looking only at deals where they do not, 71.18%. AKo does better with a shared suit, by 1.72 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | K9s wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 72.260 | 1.278 | 26.462 | 72.899 |
| No shared suit | 24 | 66.67 | 70.598 | 1.165 | 28.237 | 71.181 |
How often this matchup comes up
How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are AKo against K9s, and 72 (0.0044%) if either hand may sit in either seat.
A worked example
Put $100 each into a $200 pot and deal every board once: AKo averages $143.50 back, ahead of its $100 by $43.50, while K9s averages $56.50, short of its $100 by $43.50.
Scaled to 1,000 deals, that is roughly 712 wins for AKo, 276 for K9s and 12 chopped pots.
The same matchup from the other side
K9s against AKo adds nothing new: it is 28.25% for K9s and 71.75% for AKo, the same figures reversed.
Keep exploring
Try AsKh against Kd9d 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
We counted every case. Each suit pattern of the 36 specific AKo against K9s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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