KQo
73.62%
Wins 70.83%, ties 5.60%
KTo
26.38%
Wins 23.57%, ties 5.60%
KQo against KTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 70.826 | 5.596 | 23.578 | 73.624 |
| KTo | 23.578 | 5.596 | 70.826 | 26.376 |
The matchup is offsuit hands on both sides, KQo against KTo. 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.
That is a clear edge, 73.62% to 26.38%, but KTo still wins often enough that one hand proves nothing. Of every 100 boards, about 5.60 are split pots, and the equity figures already include them.
Ranked by equity against a random hand, KQo is number 23 of the 169 starting hands and KTo is number 33.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 130,978,000 | 10,349,000 | 43,603,000 |
| KTo | 43,603,000 | 10,349,000 | 130,978,000 |
The board total is exact, 108 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) |
|---|---|---|---|---|
| KQo | 2.791 | 1.412 | 4.241 | 0.358 |
| KTo | 0.358 | 4.241 | 1.412 | 2.791 |
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
Across the five flop textures KQo's equity moves by 15.10 points, from 68.55% on monotone flops to 83.65% on low rainbow flops (nine high or lower). KQo 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 | KQo wins | Ties | KTo wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.275 | 69.907 | 3.420 | 26.673 | 71.617 |
| Rainbow, nine or lower | 7.771 | 81.757 | 3.795 | 14.448 | 83.654 |
| Two-tone | 46.477 | 72.200 | 3.463 | 24.337 | 73.932 |
| Monotone | 5.144 | 66.352 | 4.397 | 29.251 | 68.550 |
| Paired | 17.333 | 64.804 | 15.401 | 19.795 | 72.504 |
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
A random hand would give KQo 61.46% and KTo 59.74%. Against each other the change is +12.16 points for KQo and -33.36 for KTo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 73.624 | 61.456 | +12.168 | 1.19800 |
| KQo, rainbow, ten or higher | 71.617 | 61.456 | +10.161 | 1.16534 |
| KQo, rainbow, nine or lower | 83.654 | 61.456 | +22.198 | 1.36120 |
| KQo, two-tone | 73.932 | 61.456 | +12.476 | 1.20301 |
| KQo, monotone | 68.550 | 61.456 | +7.094 | 1.11543 |
| KQo, paired | 72.504 | 61.456 | +11.048 | 1.17977 |
| KTo, all flops | 26.376 | 59.739 | -33.363 | 0.44152 |
| KTo, rainbow, ten or higher | 28.383 | 59.739 | -31.356 | 0.47512 |
| KTo, rainbow, nine or lower | 16.346 | 59.739 | -43.393 | 0.27362 |
| KTo, two-tone | 26.068 | 59.739 | -33.671 | 0.43636 |
| KTo, monotone | 31.450 | 59.739 | -28.289 | 0.52646 |
| KTo, paired | 27.496 | 59.739 | -32.243 | 0.46027 |
Does a shared suit matter?
When the hands share a suit, KQo holds 73.73%; when they do not, it holds 73.26%. KQo does better with a shared suit, by 0.47 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | KTo wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 70.918 | 5.622 | 23.460 | 73.729 |
| No shared suit | 24 | 22.22 | 70.505 | 5.504 | 23.991 | 73.257 |
How often this matchup comes up
Counting specific cards, KQo against KTo appears in 108 of the 1,624,350 ordered heads-up deals (0.0066%), and in 216 when the seats are swapped too (0.0133%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KQo gets $147.24 of it on average and KTo gets $52.76.
In 1,000 deals of exactly this matchup, expect about 708 won outright by KQo, about 236 won outright by KTo and about 56 split.
The same matchup from the other side
The mirror image, KTo against KQo, is 26.38% to 73.62%, and its address redirects to this page.
Keep exploring
Open the calculator with KsQh against KdTc already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Each figure is a complete count over boards. Take the 108 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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