KJs
51.58%
Wins 51.13%, ties 0.90%
22
48.42%
Wins 47.97%, ties 0.90%
KJs against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJs | 51.128 | 0.903 | 47.969 | 51.580 |
| 22 | 47.969 | 0.903 | 51.128 | 48.420 |
KJs and 22 are a suited hand and a pocket pair, in that order. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
This is close to even money, with KJs a little ahead. 0.90% of boards are ties, so the equity of each hand is its win rate plus half of that.
KJs ranks number 20 of 169 starting hands, and 22 ranks number 87, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJs | 21,011,000 | 371,000 | 19,713,000 |
| 22 | 19,713,000 | 371,000 | 21,011,000 |
The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| KJs | 1.065 | 1.956 | 2.085 | 0.939 |
| 22 | 0.939 | 2.085 | 1.956 | 1.065 |
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
Break the boards down by their first three cards and KJs is strongest on rainbow flops topped by a ten or better (56.88%) and weakest on low rainbow flops (nine high or lower) (24.94%). Low rainbow flops (nine high or lower) favor 22, the hand that is behind overall.
| Flop | Share of flops | KJs wins | Ties | 22 wins | KJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 56.703 | 0.359 | 42.938 | 56.883 |
| Rainbow, nine or lower | 6.314 | 24.296 | 1.279 | 74.425 | 24.935 |
| Two-tone | 46.545 | 52.138 | 0.507 | 47.355 | 52.391 |
| Monotone | 5.212 | 49.305 | 3.848 | 46.847 | 51.229 |
| Paired | 17.334 | 50.827 | 1.717 | 47.456 | 51.685 |
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 KJs from 62.57% by -10.99 points and 22 from 50.33% by -1.91 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJs, all flops | 51.580 | 62.567 | -10.987 | 0.82440 |
| KJs, rainbow, ten or higher | 56.883 | 62.567 | -5.684 | 0.90915 |
| KJs, rainbow, nine or lower | 24.935 | 62.567 | -37.632 | 0.39853 |
| KJs, two-tone | 52.391 | 62.567 | -10.176 | 0.83736 |
| KJs, monotone | 51.229 | 62.567 | -11.338 | 0.81879 |
| KJs, paired | 51.685 | 62.567 | -10.882 | 0.82607 |
| 22, all flops | 48.420 | 50.334 | -1.914 | 0.96197 |
| 22, rainbow, ten or higher | 43.117 | 50.334 | -7.217 | 0.85662 |
| 22, rainbow, nine or lower | 75.065 | 50.334 | +24.731 | 1.49134 |
| 22, two-tone | 47.609 | 50.334 | -2.725 | 0.94586 |
| 22, monotone | 48.771 | 50.334 | -1.563 | 0.96895 |
| 22, paired | 48.315 | 50.334 | -2.019 | 0.95989 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (KJs at 51.40%) and 12 do not (51.76%). KJs does better with no shared suit, by 0.36 points.
| Deals | Specific deals | Share of deals | KJs wins | Ties | 22 wins | KJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 50.941 | 0.924 | 48.135 | 51.403 |
| No shared suit | 12 | 50.00 | 51.314 | 0.883 | 47.803 | 51.756 |
How often this matchup comes up
The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.
A worked example
With $100 from each side, the $200 pot is split on average as $103.16 for KJs and $96.84 for 22; the first side gains $3.16 per all-in and the second gives up $3.16.
Over a long run, 1,000 deals split into about 511 for KJs, 480 for 22 and 9 tied.
The same matchup from the other side
Read it from the other side: 22 against KJs is the same matchup with the numbers swapped, so 22 holds 48.42% and KJs holds 51.58%. That address sends you back to this page.
Keep exploring
Open the calculator with KsJs against 2h2d 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
Nothing here is simulated. The 24 deals of KJs 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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