KK
85.73%
Wins 85.14%, ties 1.18%
KJs
14.27%
Wins 13.68%, ties 1.18%
KK against KJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 85.144 | 1.178 | 13.678 | 85.733 |
| KJs | 13.678 | 1.178 | 85.144 | 14.267 |
KK is a pocket pair and KJs is a suited hand. The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.
This is one of the lopsided matchups: KJs wins only 13.68% of the boards outright. Split pots make up 1.18% of the boards, and both equity figures count them as half a win each.
KK ranks number 2 of 169 starting hands, and KJs ranks number 20, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 17,495,000 | 242,000 | 2,811,000 |
| KJs | 2,811,000 | 242,000 | 17,495,000 |
The total is exact: 12 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) |
|---|---|---|---|---|
| KK | 6.009 | 1.174 | 7.311 | 0.166 |
| KJs | 0.166 | 7.311 | 1.174 | 6.009 |
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
Across the five flop textures KK's equity moves by 18.26 points, from 76.18% on monotone flops to 94.44% on low rainbow flops (nine high or lower). KK 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 | KK wins | Ties | KJs wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.011 | 86.418 | 1.368 | 12.214 | 87.102 |
| Rainbow, nine or lower | 7.771 | 93.820 | 1.232 | 4.948 | 94.436 |
| Two-tone | 46.236 | 83.555 | 1.222 | 15.223 | 84.166 |
| Monotone | 5.151 | 75.029 | 2.301 | 22.670 | 76.179 |
| Paired | 17.831 | 86.761 | 0.474 | 12.765 | 86.998 |
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, KK changes by +3.33 points (baseline 82.40%) and KJs by -48.30 points (baseline 62.57%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 85.733 | 82.396 | +3.337 | 1.04050 |
| KK, rainbow, ten or higher | 87.102 | 82.396 | +4.706 | 1.05711 |
| KK, rainbow, nine or lower | 94.436 | 82.396 | +12.040 | 1.14612 |
| KK, two-tone | 84.166 | 82.396 | +1.770 | 1.02148 |
| KK, monotone | 76.179 | 82.396 | -6.217 | 0.92455 |
| KK, paired | 86.998 | 82.396 | +4.602 | 1.05585 |
| KJs, all flops | 14.267 | 62.567 | -48.300 | 0.22803 |
| KJs, rainbow, ten or higher | 12.898 | 62.567 | -49.669 | 0.20615 |
| KJs, rainbow, nine or lower | 5.564 | 62.567 | -57.003 | 0.08893 |
| KJs, two-tone | 15.834 | 62.567 | -46.733 | 0.25307 |
| KJs, monotone | 23.821 | 62.567 | -38.746 | 0.38073 |
| KJs, paired | 13.002 | 62.567 | -49.565 | 0.20781 |
Does a shared suit matter?
There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.
| Deals | Specific deals | Share of deals | KK wins | Ties | KJs wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 85.144 | 1.178 | 13.678 | 85.733 |
How often this matchup comes up
You will meet this exact matchup 0.0015% of the time in a random heads-up deal: 24 of 1,624,350, counting either seat order.
A worked example
Take a $200 pot built from $100 each. KK's equity of 85.73% is worth $171.46, a $71.46 edge, and KJs' 14.27% is worth $28.54, which is $71.46 under its stake.
Per 1,000 deals: KK wins about 851, KJs wins about 137, and about 12 end in a split pot.
The same matchup from the other side
Swap the hands and you get KJs with 14.27% against KK with 85.73%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in KsKh against KdJd, 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
Nothing here is simulated. The 12 deals of KK against KJs 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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