71.54%
Wins 71.34%, ties 0.41%
KJo
28.46%
Wins 28.25%, ties 0.41%
QQ against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 71.335 | 0.411 | 28.254 | 71.541 | |
| KJo | 28.254 | 0.411 | 71.335 | 28.459 |
QQ is a pocket pair and KJo is an offsuit hand. One of the other hand's cards outranks the pair and one is below it, which makes this a closer race than a pair against two small cards.
QQ is the clear favorite, though KJo gets there on roughly one board in 4. A split pot comes up on 0.41% of boards, so the wins and the equity differ by half of that.
Ranked by equity against a random hand, QQ is number 3 of the 169 starting hands and KJo is number 26.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 87,946,000 | 507,000 | 34,833,000 | |
| KJo | 34,833,000 | 507,000 | 87,946,000 |
The board total is exact, 72 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) |
|---|---|---|---|---|
| 2.514 | 1.402 | 3.539 | 0.398 | |
| KJo | 0.398 | 3.539 | 1.402 | 2.514 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Split by what the flop looks like, QQ peaks at 85.65% on low rainbow flops (nine high or lower) and bottoms out at 66.51% on rainbow flops topped by a ten or better. QQ 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 | QQ wins | Ties | KJo wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 66.448 | 0.113 | 33.439 | 66.505 |
| Rainbow, nine or lower | 7.771 | 85.018 | 1.270 | 13.712 | 85.653 |
| Two-tone | 46.485 | 70.594 | 0.385 | 29.021 | 70.787 |
| Monotone | 5.151 | 65.864 | 1.750 | 32.386 | 66.739 |
| Paired | 17.333 | 75.371 | 0.099 | 24.530 | 75.420 |
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 QQ 79.93% and KJo 60.57%. Against each other the change is -8.39 points for QQ and -32.11 for KJo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 71.541 | 79.925 | -8.384 | 0.89510 |
| QQ, rainbow, ten or higher | 66.505 | 79.925 | -13.420 | 0.83209 |
| QQ, rainbow, nine or lower | 85.653 | 79.925 | +5.728 | 1.07167 |
| QQ, two-tone | 70.787 | 79.925 | -9.138 | 0.88567 |
| QQ, monotone | 66.739 | 79.925 | -13.186 | 0.83502 |
| QQ, paired | 75.420 | 79.925 | -4.505 | 0.94363 |
| KJo, all flops | 28.459 | 60.569 | -32.110 | 0.46986 |
| KJo, rainbow, ten or higher | 33.495 | 60.569 | -27.074 | 0.55301 |
| KJo, rainbow, nine or lower | 14.347 | 60.569 | -46.222 | 0.23687 |
| KJo, two-tone | 29.213 | 60.569 | -31.356 | 0.48231 |
| KJo, monotone | 33.261 | 60.569 | -27.308 | 0.54914 |
| KJo, paired | 24.580 | 60.569 | -35.989 | 0.40582 |
Does a shared suit matter?
When the hands share a suit, QQ holds 71.58%; when they do not, it holds 71.37%. The two rows differ by only 0.21 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | QQ wins | Ties | KJo wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 71.361 | 0.427 | 28.212 | 71.575 |
| No shared suit | 12 | 16.67 | 71.206 | 0.331 | 28.463 | 71.371 |
How often this matchup comes up
Counting specific cards, QQ against KJo appears in 72 of the 1,624,350 ordered heads-up deals (0.0044%), and in 144 when the seats are swapped too (0.0089%).
A worked example
Put $100 each into a $200 pot and deal every board once: QQ averages $143.08 back, ahead of its $100 by $43.08, while KJo averages $56.92, short of its $100 by $43.08.
Over a long run, 1,000 deals split into about 713 for QQ, 283 for KJo and 4 tied.
The same matchup from the other side
One page covers both views. From KJo's side the equity is 28.46%, and from QQ's side it is 71.54%.
Keep exploring
Try QsQh against KdJc 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 72 specific deals of QQ against KJo, 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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