KJs
74.85%
Wins 73.63%, ties 2.43%
QJo
25.15%
Wins 23.94%, ties 2.43%
KJs against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJs | 73.634 | 2.428 | 23.938 | 74.848 |
| QJo | 23.938 | 2.428 | 73.634 | 25.152 |
The first hand is a suited hand; the second is an offsuit hand. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
That is a clear edge, 74.85% to 25.15%, but QJo still wins often enough that one hand proves nothing. 2.43% of boards are ties, so the equity of each hand is its win rate plus half of that.
By strength against a random hand, KJs holds place 20 of 169 and QJo holds place 39.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJs | 45,390,000 | 1,497,000 | 14,756,000 |
| QJo | 14,756,000 | 1,497,000 | 45,390,000 |
36 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 | 2.976 | 1.358 | 4.177 | 0.336 |
| QJo | 0.336 | 4.177 | 1.358 | 2.976 |
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
By flop texture, KJs' equity runs from 66.96% on monotone flops up to 85.37% on low rainbow flops (nine high or lower). 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 | QJo wins | KJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 70.029 | 2.251 | 27.720 | 71.155 |
| Rainbow, nine or lower | 7.771 | 84.764 | 1.210 | 14.026 | 85.369 |
| Two-tone | 46.527 | 73.852 | 1.886 | 24.262 | 74.795 |
| Monotone | 5.192 | 65.234 | 3.454 | 31.312 | 66.961 |
| Paired | 17.333 | 75.397 | 4.356 | 20.247 | 77.575 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts KJs from 62.57% by +12.28 points and QJo from 58.14% by -32.99 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJs, all flops | 74.848 | 62.567 | +12.281 | 1.19629 |
| KJs, rainbow, ten or higher | 71.155 | 62.567 | +8.588 | 1.13726 |
| KJs, rainbow, nine or lower | 85.369 | 62.567 | +22.802 | 1.36444 |
| KJs, two-tone | 74.795 | 62.567 | +12.228 | 1.19544 |
| KJs, monotone | 66.961 | 62.567 | +4.394 | 1.07023 |
| KJs, paired | 77.575 | 62.567 | +15.008 | 1.23987 |
| QJo, all flops | 25.152 | 58.135 | -32.983 | 0.43265 |
| QJo, rainbow, ten or higher | 28.845 | 58.135 | -29.290 | 0.49617 |
| QJo, rainbow, nine or lower | 14.631 | 58.135 | -43.504 | 0.25167 |
| QJo, two-tone | 25.205 | 58.135 | -32.930 | 0.43356 |
| QJo, monotone | 33.039 | 58.135 | -25.096 | 0.56832 |
| QJo, paired | 22.425 | 58.135 | -35.710 | 0.38574 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and KJs holds 74.66%. In 24 they do not, and it holds 74.94%. KJs does better with no shared suit, by 0.28 points.
| Deals | Specific deals | Share of deals | KJs wins | Ties | QJo wins | KJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 73.402 | 2.508 | 24.090 | 74.656 |
| No shared suit | 24 | 66.67 | 73.751 | 2.387 | 23.862 | 74.944 |
How often this matchup comes up
Counting specific cards, KJs against QJo appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KJs gets $149.70 of it on average and QJo gets $50.30.
Scaled to 1,000 deals, that is roughly 736 wins for KJs, 240 for QJo and 24 chopped pots.
The same matchup from the other side
The mirror image, QJo against KJs, is 25.15% to 74.85%, and its address redirects to this page.
Keep exploring
KsJs against QhJd 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of KJs against QJo, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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