KJo
49.18%
Wins 48.73%, ties 0.88%
22
50.82%
Wins 50.39%, ties 0.88%
KJo against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 48.734 | 0.884 | 50.382 | 49.176 |
| 22 | 50.382 | 0.884 | 48.734 | 50.824 |
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. A split pot comes up on 0.88% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, KJo is number 26 and 22 is number 87 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 60,082,000 | 1,090,000 | 62,114,000 |
| 22 | 62,114,000 | 1,090,000 | 60,082,000 |
72 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) |
|---|---|---|---|---|
| KJo | 0.968 | 2.052 | 1.985 | 1.034 |
| 22 | 1.034 | 1.985 | 2.052 | 0.968 |
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
Across the five flop textures 22's equity moves by 33.21 points, from 44.49% on rainbow flops topped by a ten or better to 77.70% on low rainbow flops (nine high or lower). 22 is the favorite overall but falls behind on rainbow flops topped by a ten or better and monotone flops.
| Flop | Share of flops | KJo wins | Ties | 22 wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 55.330 | 0.370 | 44.300 | 55.515 |
| Rainbow, nine or lower | 6.314 | 21.627 | 1.341 | 77.032 | 22.298 |
| Two-tone | 46.485 | 48.743 | 0.549 | 50.708 | 49.018 |
| Monotone | 5.151 | 50.109 | 2.785 | 47.106 | 51.502 |
| Paired | 17.333 | 48.770 | 1.781 | 49.449 | 49.660 |
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
Each hand has a baseline against a random hand: 60.57% for KJo, 50.33% for 22. Here the change is -11.39 and +0.49 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 49.176 | 60.569 | -11.393 | 0.81190 |
| KJo, rainbow, ten or higher | 55.515 | 60.569 | -5.054 | 0.91656 |
| KJo, rainbow, nine or lower | 22.298 | 60.569 | -38.271 | 0.36814 |
| KJo, two-tone | 49.018 | 60.569 | -11.551 | 0.80929 |
| KJo, monotone | 51.502 | 60.569 | -9.067 | 0.85030 |
| KJo, paired | 49.660 | 60.569 | -10.909 | 0.81989 |
| 22, all flops | 50.824 | 50.334 | +0.490 | 1.00973 |
| 22, rainbow, ten or higher | 44.485 | 50.334 | -5.849 | 0.88380 |
| 22, rainbow, nine or lower | 77.702 | 50.334 | +27.368 | 1.54373 |
| 22, two-tone | 50.982 | 50.334 | +0.648 | 1.01287 |
| 22, monotone | 48.498 | 50.334 | -1.836 | 0.96352 |
| 22, paired | 50.340 | 50.334 | +0.006 | 1.00012 |
Does a shared suit matter?
Two kinds of deal exist here. In 60 of them the hands share a suit and 22 holds 50.74%. In 12 they do not, and it holds 51.24%. 22 does better with no shared suit, by 0.50 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | 22 wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 48.814 | 0.891 | 50.295 | 49.259 |
| No shared suit | 12 | 16.67 | 48.335 | 0.848 | 50.817 | 48.759 |
How often this matchup comes up
This page stands for 72 specific-card matchups (0.0044% of 1,624,350 ordered deals), or 144 once you count the seats both ways (0.0089%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 22 is worth $101.64 on average (+$1.64); KJo is worth $98.36 (-$1.64).
Over a long run, 1,000 deals split into about 504 for 22, 487 for KJo and 9 tied.
The same matchup from the other side
The mirror image, 22 against KJo, is 50.82% to 49.18%, and its address redirects to this page.
Keep exploring
The calculator link fills in KsJh against 2d2c, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Each figure is a complete count over boards. Take the 72 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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