KQo
69.87%
Wins 68.64%, ties 2.45%
QJs
30.13%
Wins 28.91%, ties 2.45%
KQo against QJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 68.641 | 2.449 | 28.910 | 69.865 |
| QJs | 28.910 | 2.449 | 68.641 | 30.135 |
One side is an offsuit hand, the other is a suited 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, 69.87% to 30.13%, but QJs still wins often enough that one hand proves nothing. Of every 100 boards, about 2.45 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, KQo is number 23 and QJs is number 28.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 42,312,000 | 1,510,000 | 17,821,000 |
| QJs | 17,821,000 | 1,510,000 | 42,312,000 |
The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KQo | 2.318 | 1.457 | 3.459 | 0.431 |
| QJs | 0.431 | 3.459 | 1.457 | 2.318 |
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, KQo's equity runs from 65.24% on monotone flops up to 81.77% on low rainbow flops (nine high or lower). KQo 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 | KQo wins | Ties | QJs wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 67.117 | 2.261 | 30.622 | 68.248 |
| Rainbow, nine or lower | 7.771 | 81.165 | 1.210 | 17.625 | 81.770 |
| Two-tone | 46.527 | 67.184 | 1.895 | 30.921 | 68.132 |
| Monotone | 5.192 | 63.502 | 3.468 | 33.030 | 65.236 |
| Paired | 17.333 | 70.512 | 4.437 | 25.051 | 72.730 |
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
Against one random hand instead, KQo holds 61.46% and QJs holds 60.26%. Facing each other changes that by +8.41 points for KQo and -30.13 points for QJs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 69.865 | 61.456 | +8.409 | 1.13683 |
| KQo, rainbow, ten or higher | 68.248 | 61.456 | +6.792 | 1.11052 |
| KQo, rainbow, nine or lower | 81.770 | 61.456 | +20.314 | 1.33055 |
| KQo, two-tone | 68.132 | 61.456 | +6.676 | 1.10863 |
| KQo, monotone | 65.236 | 61.456 | +3.780 | 1.06151 |
| KQo, paired | 72.730 | 61.456 | +11.274 | 1.18345 |
| QJs, all flops | 30.135 | 60.259 | -30.124 | 0.50009 |
| QJs, rainbow, ten or higher | 31.752 | 60.259 | -28.507 | 0.52693 |
| QJs, rainbow, nine or lower | 18.230 | 60.259 | -42.029 | 0.30253 |
| QJs, two-tone | 31.868 | 60.259 | -28.391 | 0.52885 |
| QJs, monotone | 34.764 | 60.259 | -25.495 | 0.57691 |
| QJs, paired | 27.270 | 60.259 | -32.989 | 0.45255 |
Does a shared suit matter?
Split by suits, the deals give KQo 70.88% when the hands overlap in a suit and 69.36% when they do not. KQo does better with a shared suit, by 1.52 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | QJs wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 69.612 | 2.530 | 27.858 | 70.877 |
| No shared suit | 24 | 66.67 | 68.155 | 2.408 | 29.437 | 69.359 |
How often this matchup comes up
KQo against QJs is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.
A worked example
Put $100 each into a $200 pot and deal every board once: KQo averages $139.74 back, ahead of its $100 by $39.74, while QJs averages $60.26, short of its $100 by $39.74.
Per 1,000 deals: KQo wins about 686, QJs wins about 289, and about 25 end in a split pot.
The same matchup from the other side
If you came looking for QJs against KQo, the numbers are the same with the hands swapped: 30.13% and 69.87%.
Keep exploring
Try KsQh against QdJd in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
Nothing here is simulated. The 36 deals of KQo against QJs 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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