KK
81.89%
Wins 81.69%, ties 0.41%
QTs
18.11%
Wins 17.90%, ties 0.41%
KK against QTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 81.686 | 0.412 | 17.902 | 81.892 |
| QTs | 17.902 | 0.412 | 81.686 | 18.108 |
One side is a pocket pair, the other is a suited hand. A pair against two lower cards is a lopsided matchup: the pair is ahead and the other hand has no overcard to catch.
This is one of the lopsided matchups: QTs wins only 17.90% of the boards outright. Ties are 0.41% of the outcomes here; each tied board gives both hands half the pot.
Among the 169 starting hands, KK is number 2 and QTs is number 34 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 33,569,000 | 169,000 | 7,357,000 |
| QTs | 7,357,000 | 169,000 | 33,569,000 |
Exact total: 24 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KK | 4.522 | 1.224 | 5.586 | 0.221 |
| QTs | 0.221 | 5.586 | 1.224 | 4.522 |
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
If you know the kind of flop that came, the numbers shift: KK holds 90.54% on low rainbow flops (nine high or lower) and 75.79% on monotone flops. KK stays ahead on all five textures.
| Flop | Share of flops | KK wins | Ties | QTs wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 81.461 | 0.149 | 18.390 | 81.536 |
| Rainbow, nine or lower | 7.771 | 90.024 | 1.022 | 8.954 | 90.535 |
| Two-tone | 46.545 | 79.910 | 0.335 | 19.755 | 80.077 |
| Monotone | 5.212 | 74.578 | 2.414 | 23.008 | 75.785 |
| Paired | 17.334 | 85.157 | 0.092 | 14.751 | 85.203 |
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, KK holds 82.40% and QTs holds 59.47%. Facing each other changes that by -0.51 points for KK and -41.36 points for QTs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 81.892 | 82.396 | -0.504 | 0.99388 |
| KK, rainbow, ten or higher | 81.536 | 82.396 | -0.860 | 0.98956 |
| KK, rainbow, nine or lower | 90.535 | 82.396 | +8.139 | 1.09878 |
| KK, two-tone | 80.077 | 82.396 | -2.319 | 0.97186 |
| KK, monotone | 75.785 | 82.396 | -6.611 | 0.91977 |
| KK, paired | 85.203 | 82.396 | +2.807 | 1.03407 |
| QTs, all flops | 18.108 | 59.468 | -41.360 | 0.30450 |
| QTs, rainbow, ten or higher | 18.464 | 59.468 | -41.004 | 0.31049 |
| QTs, rainbow, nine or lower | 9.465 | 59.468 | -50.003 | 0.15916 |
| QTs, two-tone | 19.923 | 59.468 | -39.545 | 0.33502 |
| QTs, monotone | 24.215 | 59.468 | -35.253 | 0.40719 |
| QTs, paired | 14.797 | 59.468 | -44.671 | 0.24882 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and KK holds 82.47%. In 12 they do not, and it holds 81.31%. KK does better with a shared suit, by 1.16 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | QTs wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 82.248 | 0.452 | 17.300 | 82.474 |
| No shared suit | 12 | 50.00 | 81.124 | 0.372 | 18.504 | 81.310 |
How often this matchup comes up
This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KK gets $163.78 of it on average and QTs gets $36.22.
Think in thousands: about 817 of 1,000 go to KK, about 179 go to QTs, and about 4 are chopped.
The same matchup from the other side
The reversed view, QTs against KK, shows 18.11% for QTs and 81.89% for KK. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in KsKh against QdTd, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Each figure is a complete count over boards. Take the 24 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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