KJs
70.77%
Wins 69.57%, ties 2.39%
QJs
29.23%
Wins 28.04%, ties 2.39%
KJs against QJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJs | 69.570 | 2.389 | 28.041 | 70.765 |
| QJs | 28.041 | 2.389 | 69.570 | 29.235 |
This is a contest between two suited hands, KJs and QJs. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A lead of 41.54 points is large but not decisive: QJs still takes about 280 of every 1,000 deals. The tie share is 2.39%: on those boards the pot is chopped and neither hand wins outright.
Ranked by equity against a random hand, KJs is number 20 of the 169 starting hands and QJs is number 28.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJs | 14,295,000 | 491,000 | 5,762,000 |
| QJs | 5,762,000 | 491,000 | 14,295,000 |
12 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) |
|---|---|---|---|---|
| KJs | 2.421 | 1.437 | 3.566 | 0.413 |
| QJs | 0.413 | 3.566 | 1.437 | 2.421 |
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
Split by what the flop looks like, KJs peaks at 82.34% on low rainbow flops (nine high or lower) and bottoms out at 63.75% on monotone flops. KJs 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 | KJs wins | Ties | QJs wins | KJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 67.917 | 2.211 | 29.872 | 69.023 |
| Rainbow, nine or lower | 7.771 | 81.766 | 1.151 | 17.083 | 82.341 |
| Two-tone | 46.543 | 68.613 | 1.771 | 29.616 | 69.499 |
| Monotone | 5.215 | 61.587 | 4.332 | 34.081 | 63.753 |
| Paired | 17.333 | 71.283 | 4.256 | 24.461 | 73.411 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
A random hand would give KJs 62.57% and QJs 60.26%. Against each other the change is +8.20 points for KJs and -31.03 for QJs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJs, all flops | 70.765 | 62.567 | +8.198 | 1.13103 |
| KJs, rainbow, ten or higher | 69.023 | 62.567 | +6.456 | 1.10319 |
| KJs, rainbow, nine or lower | 82.341 | 62.567 | +19.774 | 1.31605 |
| KJs, two-tone | 69.499 | 62.567 | +6.932 | 1.11079 |
| KJs, monotone | 63.753 | 62.567 | +1.186 | 1.01896 |
| KJs, paired | 73.411 | 62.567 | +10.844 | 1.17332 |
| QJs, all flops | 29.235 | 60.259 | -31.024 | 0.48516 |
| QJs, rainbow, ten or higher | 30.977 | 60.259 | -29.282 | 0.51406 |
| QJs, rainbow, nine or lower | 17.659 | 60.259 | -42.600 | 0.29305 |
| QJs, two-tone | 30.501 | 60.259 | -29.758 | 0.50617 |
| QJs, monotone | 36.247 | 60.259 | -24.012 | 0.60152 |
| QJs, paired | 26.589 | 60.259 | -33.670 | 0.44125 |
Does a shared suit matter?
Every legal deal of KJs against QJs leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | KJs wins | Ties | QJs wins | KJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 69.570 | 2.389 | 28.041 | 70.765 |
How often this matchup comes up
Counting specific cards, KJs against QJs appears in 12 of the 1,624,350 ordered heads-up deals (0.0007%), and in 24 when the seats are swapped too (0.0015%).
A worked example
Take a $200 pot built from $100 each. KJs' equity of 70.77% is worth $141.54, a $41.54 edge, and QJs' 29.23% is worth $58.46, which is $41.54 under its stake.
Per 1,000 deals: KJs wins about 696, QJs wins about 280, and about 24 end in a split pot.
The same matchup from the other side
If you came looking for QJs against KJs, the numbers are the same with the hands swapped: 29.23% and 70.77%.
Keep exploring
Open the calculator with KsJs against QhJh 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
Each figure is a complete count over boards. Take the 12 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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