AKo
76.24%
Wins 75.63%, ties 1.22%
K9o
23.76%
Wins 23.15%, ties 1.22%
AKo against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 75.633 | 1.217 | 23.150 | 76.241 |
| K9o | 23.150 | 1.217 | 75.633 | 23.759 |
This is a contest between two offsuit hands, AKo and K9o. 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.
AKo is well ahead, and K9o needs a specific kind of board to catch up. Ties are 1.22% of the outcomes here; each tied board gives both hands half the pot.
By strength against a random hand, AKo holds place 12 of 169 and K9o holds place 40.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 139,867,000 | 2,251,000 | 42,811,000 |
| K9o | 42,811,000 | 2,251,000 | 139,867,000 |
The board total is exact, 108 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AKo | 3.209 | 1.322 | 4.320 | 0.312 |
| K9o | 0.312 | 4.320 | 1.322 | 3.209 |
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
If you know the kind of flop that came, the numbers shift: AKo holds 80.22% on rainbow flops topped by a ten or better and 61.99% 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 | K9o wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.003 | 79.739 | 0.964 | 19.297 | 80.221 |
| Rainbow, nine or lower | 7.042 | 61.440 | 1.091 | 37.469 | 61.986 |
| Two-tone | 46.477 | 75.149 | 0.957 | 23.894 | 75.628 |
| Monotone | 5.144 | 70.854 | 2.033 | 27.113 | 71.870 |
| Paired | 17.334 | 78.427 | 2.076 | 19.497 | 79.465 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 65.32% for AKo, 57.81% for K9o. Here the change is +10.92 and -34.05 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 76.241 | 65.320 | +10.921 | 1.16719 |
| AKo, rainbow, ten or higher | 80.221 | 65.320 | +14.901 | 1.22812 |
| AKo, rainbow, nine or lower | 61.986 | 65.320 | -3.334 | 0.94896 |
| AKo, two-tone | 75.628 | 65.320 | +10.308 | 1.15781 |
| AKo, monotone | 71.870 | 65.320 | +6.550 | 1.10028 |
| AKo, paired | 79.465 | 65.320 | +14.145 | 1.21655 |
| K9o, all flops | 23.759 | 57.812 | -34.053 | 0.41097 |
| K9o, rainbow, ten or higher | 19.779 | 57.812 | -38.033 | 0.34213 |
| K9o, rainbow, nine or lower | 38.014 | 57.812 | -19.798 | 0.65755 |
| K9o, two-tone | 24.372 | 57.812 | -33.440 | 0.42157 |
| K9o, monotone | 28.130 | 57.812 | -29.682 | 0.48658 |
| K9o, paired | 20.535 | 57.812 | -37.277 | 0.35520 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AKo has 76.42%; looking only at deals where they do not, 75.62%. AKo does better with a shared suit, by 0.80 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | K9o wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 75.799 | 1.239 | 22.962 | 76.419 |
| No shared suit | 24 | 22.22 | 75.051 | 1.139 | 23.810 | 75.621 |
How often this matchup comes up
This page stands for 108 specific-card matchups (0.0066% of 1,624,350 ordered deals), or 216 once you count the seats both ways (0.0133%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, AKo's average share is $152.48 (a gain of $52.48) and K9o's is $47.52 (a loss of $52.48).
Out of 1,000 deals you should see around 756 outright wins for AKo, 232 for K9o, and 12 split pots.
The same matchup from the other side
One page covers both views. From K9o's side the equity is 23.76%, and from AKo's side it is 76.24%.
Keep exploring
Open the calculator with AsKh against Kd9c already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Method: exact enumeration. The 108 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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