K9o
48.27%
Wins 47.83%, ties 0.88%
22
51.73%
Wins 51.29%, ties 0.88%
K9o against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9o | 47.834 | 0.876 | 51.290 | 48.272 |
| 22 | 51.290 | 0.876 | 47.834 | 51.728 |
The first hand is an offsuit hand; the second is a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
That is a slim edge: neither hand is far ahead. Ties are part of the picture: 0.88% of boards end in a split pot, and each side counts that as half a win.
The hand ranking puts K9o at 40 and 22 at 87 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9o | 58,973,000 | 1,080,000 | 63,233,000 |
| 22 | 63,233,000 | 1,080,000 | 58,973,000 |
Exact total: 72 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) |
|---|---|---|---|---|
| K9o | 0.933 | 2.091 | 1.950 | 1.072 |
| 22 | 1.072 | 1.950 | 2.091 | 0.933 |
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
By flop texture, 22's equity runs from 49.21% on monotone flops up to 59.52% on low rainbow flops (nine high or lower). The lead reverses on monotone flops: there K9o is the favorite even though 22 is ahead overall.
| Flop | Share of flops | K9o wins | Ties | 22 wins | K9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 49.181 | 0.422 | 50.397 | 49.392 |
| Rainbow, nine or lower | 5.689 | 39.920 | 1.114 | 58.966 | 40.477 |
| Two-tone | 46.485 | 47.787 | 0.532 | 51.681 | 48.053 |
| Monotone | 5.151 | 49.400 | 2.775 | 47.825 | 50.787 |
| Paired | 17.334 | 48.126 | 1.818 | 50.056 | 49.035 |
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
Relative to a random opponent, K9o changes by -9.54 points (baseline 57.81%) and 22 by +1.40 points (baseline 50.33%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9o, all flops | 48.272 | 57.812 | -9.540 | 0.83498 |
| K9o, rainbow, ten or higher | 49.392 | 57.812 | -8.420 | 0.85436 |
| K9o, rainbow, nine or lower | 40.477 | 57.812 | -17.335 | 0.70015 |
| K9o, two-tone | 48.053 | 57.812 | -9.759 | 0.83119 |
| K9o, monotone | 50.787 | 57.812 | -7.025 | 0.87849 |
| K9o, paired | 49.035 | 57.812 | -8.777 | 0.84818 |
| 22, all flops | 51.728 | 50.334 | +1.394 | 1.02769 |
| 22, rainbow, ten or higher | 50.608 | 50.334 | +0.274 | 1.00544 |
| 22, rainbow, nine or lower | 59.523 | 50.334 | +9.189 | 1.18256 |
| 22, two-tone | 51.947 | 50.334 | +1.613 | 1.03205 |
| 22, monotone | 49.213 | 50.334 | -1.121 | 0.97773 |
| 22, paired | 50.965 | 50.334 | +0.631 | 1.01254 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, 22 has 51.65%; looking only at deals where they do not, 52.13%. 22 does better with no shared suit, by 0.48 points.
| Deals | Specific deals | Share of deals | K9o wins | Ties | 22 wins | K9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 47.912 | 0.883 | 51.205 | 48.353 |
| No shared suit | 12 | 16.67 | 47.448 | 0.840 | 51.712 | 47.868 |
How often this matchup comes up
Exactly 72 specific deals fit this matchup in one seat order, which is 0.0044% of 1,624,350; both orders together give 144, or 0.0089%.
A worked example
Put $100 each into a $200 pot and deal every board once: 22 averages $103.46 back, ahead of its $100 by $3.46, while K9o averages $96.54, short of its $100 by $3.46.
Run 1,000 deals and the tally comes out near 513 for 22, 478 for K9o and 9 ties.
The same matchup from the other side
The reversed view, 22 against K9o, shows 51.73% for 22 and 48.27% for K9o. It is the same count, so it redirects here.
Keep exploring
Ks9h against 2d2c is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
Nothing here is simulated. The 72 deals of K9o against 22 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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