KQs
74.62%
Wins 73.40%, ties 2.44%
QTo
25.38%
Wins 24.16%, ties 2.44%
KQs against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 73.398 | 2.438 | 24.164 | 74.617 |
| QTo | 24.164 | 2.438 | 73.398 | 25.383 |
KQs, a suited hand, plays QTo, an offsuit hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
KQs is the clear favorite, though QTo gets there on roughly one board in 4. Ties are part of the picture: 2.44% of boards end in a split pot, and each side counts that as half a win.
In the ranking of all 169 starting hands, KQs is number 16 and QTo is number 47.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 45,245,000 | 1,503,000 | 14,895,000 |
| QTo | 14,895,000 | 1,503,000 | 45,245,000 |
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) |
|---|---|---|---|---|
| KQs | 2.940 | 1.362 | 4.138 | 0.340 |
| QTo | 0.340 | 4.138 | 1.362 | 2.940 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Low rainbow flops (nine high or lower) are the best for KQs (83.90%); monotone flops are the worst (66.78%). KQs 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 | KQs wins | Ties | QTo wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 70.048 | 2.305 | 27.647 | 71.200 |
| Rainbow, nine or lower | 7.771 | 83.392 | 1.018 | 15.590 | 83.901 |
| Two-tone | 46.527 | 73.558 | 1.880 | 24.562 | 74.498 |
| Monotone | 5.192 | 65.047 | 3.455 | 31.498 | 66.775 |
| Paired | 17.333 | 75.470 | 4.445 | 20.085 | 77.692 |
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
Against one random hand instead, KQs holds 63.40% and QTo holds 57.29%. Facing each other changes that by +11.22 points for KQs and -31.91 points for QTo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 74.617 | 63.400 | +11.217 | 1.17692 |
| KQs, rainbow, ten or higher | 71.200 | 63.400 | +7.800 | 1.12303 |
| KQs, rainbow, nine or lower | 83.901 | 63.400 | +20.501 | 1.32336 |
| KQs, two-tone | 74.498 | 63.400 | +11.098 | 1.17505 |
| KQs, monotone | 66.775 | 63.400 | +3.375 | 1.05323 |
| KQs, paired | 77.692 | 63.400 | +14.292 | 1.22543 |
| QTo, all flops | 25.383 | 57.291 | -31.908 | 0.44305 |
| QTo, rainbow, ten or higher | 28.800 | 57.291 | -28.491 | 0.50270 |
| QTo, rainbow, nine or lower | 16.099 | 57.291 | -41.192 | 0.28100 |
| QTo, two-tone | 25.502 | 57.291 | -31.789 | 0.44513 |
| QTo, monotone | 33.225 | 57.291 | -24.066 | 0.57993 |
| QTo, paired | 22.308 | 57.291 | -34.983 | 0.38938 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (KQs at 74.42%) and 24 do not (74.72%). KQs does better with no shared suit, by 0.30 points.
| Deals | Specific deals | Share of deals | KQs wins | Ties | QTo wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 73.162 | 2.520 | 24.318 | 74.422 |
| No shared suit | 24 | 66.67 | 73.516 | 2.397 | 24.087 | 74.715 |
How often this matchup comes up
The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KQs gets $149.24 of it on average and QTo gets $50.76.
Over a long run, 1,000 deals split into about 734 for KQs, 242 for QTo and 24 tied.
The same matchup from the other side
The mirror image, QTo against KQs, is 25.38% to 74.62%, and its address redirects to this page.
Keep exploring
Try KsQs against QhTd 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
Method: exact enumeration. The 36 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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