KK
86.44%
Wins 86.23%, ties 0.41%
QJo
13.56%
Wins 13.36%, ties 0.41%
KK against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 86.233 | 0.410 | 13.357 | 86.438 |
| QJo | 13.357 | 0.410 | 86.233 | 13.562 |
KK is a pocket pair and QJo is an offsuit hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
That is a heavy lead: QJo needs the board to help it on most runouts and still falls behind far more often than not. A split pot comes up on 0.41% of boards, so the wins and the equity differ by half of that.
For context, KK sits at number 2 of 169 starting hands and QJo at number 39 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 106,313,000 | 505,000 | 16,467,000 |
| QJo | 16,467,000 | 505,000 | 106,313,000 |
72 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) |
|---|---|---|---|---|
| KK | 6.374 | 1.160 | 7.487 | 0.157 |
| QJo | 0.157 | 7.487 | 1.160 | 6.374 |
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, KK peaks at 94.93% on low rainbow flops (nine high or lower) and bottoms out at 81.02% on monotone flops. KK stays ahead on all five textures.
| Flop | Share of flops | KK wins | Ties | QJo wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 83.783 | 0.113 | 16.104 | 83.839 |
| Rainbow, nine or lower | 7.771 | 94.293 | 1.270 | 4.437 | 94.928 |
| Two-tone | 46.485 | 85.805 | 0.385 | 13.810 | 85.998 |
| Monotone | 5.151 | 80.141 | 1.750 | 18.109 | 81.016 |
| Paired | 17.333 | 88.864 | 0.092 | 11.044 | 88.910 |
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
Start from the random-hand figures, 82.40% for KK and 58.14% for QJo. This opponent changes them by +4.04 and -44.58 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 86.438 | 82.396 | +4.042 | 1.04906 |
| KK, rainbow, ten or higher | 83.839 | 82.396 | +1.443 | 1.01751 |
| KK, rainbow, nine or lower | 94.928 | 82.396 | +12.532 | 1.15209 |
| KK, two-tone | 85.998 | 82.396 | +3.602 | 1.04372 |
| KK, monotone | 81.016 | 82.396 | -1.380 | 0.98325 |
| KK, paired | 88.910 | 82.396 | +6.514 | 1.07906 |
| QJo, all flops | 13.562 | 58.135 | -44.573 | 0.23328 |
| QJo, rainbow, ten or higher | 16.161 | 58.135 | -41.974 | 0.27799 |
| QJo, rainbow, nine or lower | 5.072 | 58.135 | -53.063 | 0.08725 |
| QJo, two-tone | 14.002 | 58.135 | -44.133 | 0.24085 |
| QJo, monotone | 18.984 | 58.135 | -39.151 | 0.32655 |
| QJo, paired | 11.090 | 58.135 | -47.045 | 0.19076 |
Does a shared suit matter?
The suit split reads 86.59% for KK with a shared suit and 85.68% without one. KK does better with a shared suit, by 0.91 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | QJo wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 86.376 | 0.426 | 13.198 | 86.589 |
| No shared suit | 12 | 16.67 | 85.518 | 0.330 | 14.152 | 85.683 |
How often this matchup comes up
You will meet this exact matchup 0.0089% of the time in a random heads-up deal: 144 of 1,624,350, counting either seat order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. KK is worth $172.88 on average (+$72.88); QJo is worth $27.12 (-$72.88).
Run 1,000 deals and the tally comes out near 862 for KK, 134 for QJo and 4 ties.
The same matchup from the other side
The reversed view, QJo against KK, shows 13.56% for QJo and 86.44% for KK. It is the same count, so it redirects here.
Keep exploring
Try KsKh against QdJc 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
Each figure is a complete count over boards. Take the 72 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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