71.15%
Wins 70.95%, ties 0.40%
KTo
28.85%
Wins 28.65%, ties 0.40%
QQ against KTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 70.948 | 0.397 | 28.655 | 71.146 | |
| KTo | 28.655 | 0.397 | 70.948 | 28.854 |
QQ is a pocket pair and KTo is an offsuit hand. The pair is ahead of one card and behind the other, so the board decides how that plays out.
QQ is well ahead, and KTo needs a specific kind of board to catch up. A split pot comes up on 0.40% 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 KTo is number 33.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 87,469,000 | 489,000 | 35,328,000 | |
| KTo | 35,328,000 | 489,000 | 87,469,000 |
Exact total: 72 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) |
|---|---|---|---|---|
| 2.466 | 1.409 | 3.490 | 0.406 | |
| KTo | 0.406 | 3.490 | 1.409 | 2.466 |
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
If you know the kind of flop that came, the numbers shift: QQ holds 84.12% on low rainbow flops (nine high or lower) and 66.40% 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 | KTo wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 66.319 | 0.156 | 33.525 | 66.397 |
| Rainbow, nine or lower | 7.771 | 83.589 | 1.068 | 15.343 | 84.123 |
| Two-tone | 46.485 | 70.156 | 0.368 | 29.476 | 70.340 |
| Monotone | 5.151 | 65.539 | 1.738 | 32.723 | 66.408 |
| Paired | 17.333 | 75.222 | 0.099 | 24.679 | 75.272 |
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
Compared with a random opponent, this matchup shifts QQ from 79.93% by -8.78 points and KTo from 59.74% by -30.89 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 71.146 | 79.925 | -8.779 | 0.89016 |
| QQ, rainbow, ten or higher | 66.397 | 79.925 | -13.528 | 0.83074 |
| QQ, rainbow, nine or lower | 84.123 | 79.925 | +4.198 | 1.05252 |
| QQ, two-tone | 70.340 | 79.925 | -9.585 | 0.88008 |
| QQ, monotone | 66.408 | 79.925 | -13.517 | 0.83088 |
| QQ, paired | 75.272 | 79.925 | -4.653 | 0.94178 |
| KTo, all flops | 28.854 | 59.739 | -30.885 | 0.48300 |
| KTo, rainbow, ten or higher | 33.603 | 59.739 | -26.136 | 0.56250 |
| KTo, rainbow, nine or lower | 15.877 | 59.739 | -43.862 | 0.26577 |
| KTo, two-tone | 29.660 | 59.739 | -30.079 | 0.49649 |
| KTo, monotone | 33.592 | 59.739 | -26.147 | 0.56231 |
| KTo, paired | 24.728 | 59.739 | -35.011 | 0.41393 |
Does a shared suit matter?
Of the deals of this matchup, 60 share a suit (QQ at 71.18%) and 12 do not (70.98%). The two rows differ by only 0.20 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | QQ wins | Ties | KTo wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 70.972 | 0.413 | 28.615 | 71.179 |
| No shared suit | 12 | 16.67 | 70.825 | 0.317 | 28.858 | 70.984 |
How often this matchup comes up
The class pair covers 72 combinations of specific cards in a fixed seat order, 0.0044% of 1,624,350, and 144 (0.0089%) in either order.
A worked example
Put $100 each into a $200 pot and deal every board once: QQ averages $142.30 back, ahead of its $100 by $42.30, while KTo averages $57.70, short of its $100 by $42.30.
Think in thousands: about 709 of 1,000 go to QQ, about 287 go to KTo, and about 4 are chopped.
The same matchup from the other side
Read it from the other side: KTo against QQ is the same matchup with the numbers swapped, so KTo holds 28.85% and QQ holds 71.15%. That address sends you back to this page.
Keep exploring
The calculator link fills in QsQh against KdTc, 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 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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