AKs
77.03%
Wins 76.42%, ties 1.21%
K9o
22.97%
Wins 22.37%, ties 1.21%
AKs against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKs | 76.422 | 1.214 | 22.364 | 77.029 |
| K9o | 22.364 | 1.214 | 76.422 | 22.971 |
AKs, a suited hand, plays K9o, an offsuit 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.
AKs is the clear favorite, though K9o gets there on roughly one board in 4. Of every 100 boards, about 1.21 are split pots, and the equity figures already include them.
The hand ranking puts AKs at 8 and K9o at 40 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKs | 47,109,000 | 748,000 | 13,786,000 |
| K9o | 13,786,000 | 748,000 | 47,109,000 |
36 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) |
|---|---|---|---|---|
| AKs | 3.353 | 1.309 | 4.471 | 0.298 |
| K9o | 0.298 | 4.471 | 1.309 | 3.353 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
The flop changes the picture. AKs does best on rainbow flops topped by a ten or better, at 80.85%, and worst on low rainbow flops (nine high or lower), at 63.37%. AKs 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 | AKs wins | Ties | K9o wins | AKs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 80.377 | 0.945 | 18.678 | 80.850 |
| Rainbow, nine or lower | 7.042 | 62.851 | 1.045 | 36.104 | 63.373 |
| Two-tone | 46.527 | 76.457 | 0.900 | 22.643 | 76.907 |
| Monotone | 5.192 | 67.353 | 2.618 | 30.029 | 68.662 |
| Paired | 17.334 | 79.105 | 2.073 | 18.822 | 80.141 |
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
Compared with a random opponent, this matchup shifts AKs from 67.05% by +9.98 points and K9o from 57.81% by -34.84 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKs, all flops | 77.029 | 67.045 | +9.984 | 1.14891 |
| AKs, rainbow, ten or higher | 80.850 | 67.045 | +13.805 | 1.20591 |
| AKs, rainbow, nine or lower | 63.373 | 67.045 | -3.672 | 0.94523 |
| AKs, two-tone | 76.907 | 67.045 | +9.862 | 1.14710 |
| AKs, monotone | 68.662 | 67.045 | +1.617 | 1.02412 |
| AKs, paired | 80.141 | 67.045 | +13.096 | 1.19533 |
| K9o, all flops | 22.971 | 57.812 | -34.841 | 0.39734 |
| K9o, rainbow, ten or higher | 19.150 | 57.812 | -38.662 | 0.33125 |
| K9o, rainbow, nine or lower | 36.627 | 57.812 | -21.185 | 0.63355 |
| K9o, two-tone | 23.093 | 57.812 | -34.719 | 0.39945 |
| K9o, monotone | 31.338 | 57.812 | -26.474 | 0.54207 |
| K9o, paired | 19.859 | 57.812 | -37.953 | 0.34351 |
Does a shared suit matter?
Split by suits, the deals give AKs 76.76% when the hands overlap in a suit and 77.17% when they do not. AKs does better with no shared suit, by 0.41 points.
| Deals | Specific deals | Share of deals | AKs wins | Ties | K9o wins | AKs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 76.117 | 1.278 | 22.605 | 76.756 |
| No shared suit | 24 | 66.67 | 76.574 | 1.182 | 22.244 | 77.165 |
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 AKs gets $154.06 of it on average and K9o gets $45.94.
A thousand deals look like this: AKs takes 764, K9o takes 224, 12 are ties.
The same matchup from the other side
The reversed view, K9o against AKs, shows 22.97% for K9o and 77.03% for AKs. It is the same count, so it redirects here.
Keep exploring
Open the calculator with AsKs against Kh9d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of AKs against K9o, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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