68.54%
Wins 67.94%, ties 1.20%
KQo
31.46%
Wins 30.86%, ties 1.20%
QQ against KQo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 67.935 | 1.201 | 30.864 | 68.536 | |
| KQo | 30.864 | 1.201 | 67.935 | 31.464 |
We compare a pocket pair with an offsuit hand. The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.
A lead of 37.08 points is large but not decisive: KQo still takes about 309 of every 1,000 deals. 1.20% of boards are ties, so the equity of each hand is its win rate plus half of that.
QQ ranks number 3 of 169 starting hands, and KQo ranks number 23, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 41,877,000 | 740,000 | 19,025,000 | |
| KQo | 19,025,000 | 740,000 | 41,877,000 |
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) |
|---|---|---|---|---|
| 2.178 | 1.472 | 3.240 | 0.459 | |
| KQo | 0.459 | 3.240 | 1.472 | 2.178 |
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
The flop changes the picture. QQ does best on low rainbow flops (nine high or lower), at 85.97%, and worst on monotone flops, at 61.54%. 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 | KQo wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.053 | 61.086 | 1.393 | 37.521 | 61.782 |
| Rainbow, nine or lower | 7.771 | 85.282 | 1.385 | 13.333 | 85.974 |
| Two-tone | 46.215 | 66.457 | 1.325 | 32.218 | 67.119 |
| Monotone | 5.130 | 60.589 | 1.905 | 37.506 | 61.541 |
| Paired | 17.831 | 75.178 | 0.346 | 24.476 | 75.351 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Start from the random-hand figures, 79.93% for QQ and 61.46% for KQo. This opponent changes them by -11.39 and -30.00 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 68.536 | 79.925 | -11.389 | 0.85750 |
| QQ, rainbow, ten or higher | 61.782 | 79.925 | -18.143 | 0.77300 |
| QQ, rainbow, nine or lower | 85.974 | 79.925 | +6.049 | 1.07568 |
| QQ, two-tone | 67.119 | 79.925 | -12.806 | 0.83977 |
| QQ, monotone | 61.541 | 79.925 | -18.384 | 0.76998 |
| QQ, paired | 75.351 | 79.925 | -4.574 | 0.94277 |
| KQo, all flops | 31.464 | 61.456 | -29.992 | 0.51198 |
| KQo, rainbow, ten or higher | 38.218 | 61.456 | -23.238 | 0.62188 |
| KQo, rainbow, nine or lower | 14.026 | 61.456 | -47.430 | 0.22823 |
| KQo, two-tone | 32.881 | 61.456 | -28.575 | 0.53503 |
| KQo, monotone | 38.459 | 61.456 | -22.997 | 0.62580 |
| KQo, paired | 24.649 | 61.456 | -36.807 | 0.40108 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, QQ has 68.47%; looking only at deals where they do not, 68.68%. The two rows differ by only 0.21 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | QQ wins | Ties | KQo wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 66.67 | 67.850 | 1.232 | 30.918 | 68.466 |
| No shared suit | 12 | 33.33 | 68.106 | 1.138 | 30.756 | 68.675 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 36 are QQ in one seat and KQo in the other (0.0022%); with the seats swapped too, 72 (0.0044%).
A worked example
Take a $200 pot built from $100 each. QQ's equity of 68.54% is worth $137.08, a $37.08 edge, and KQo's 31.46% is worth $62.92, which is $37.08 under its stake.
Think in thousands: about 679 of 1,000 go to QQ, about 309 go to KQo, and about 12 are chopped.
The same matchup from the other side
If you came looking for KQo against QQ, the numbers are the same with the hands swapped: 31.46% and 68.54%.
Keep exploring
Try QsQh against KdQc 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 36 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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session