KTo
73.64%
Wins 72.19%, ties 2.91%
QTo
26.36%
Wins 24.90%, ties 2.91%
KTo against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTo | 72.189 | 2.906 | 24.905 | 73.642 |
| QTo | 24.905 | 2.906 | 72.189 | 26.358 |
Two offsuit hands meet here: KTo against QTo. 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.
A lead of 47.28 points is large but not decisive: QTo still takes about 249 of every 1,000 deals. Of every 100 boards, about 2.91 are split pots, and the equity figures already include them.
Among the 169 starting hands, KTo is number 33 and QTo is number 47 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTo | 133,498,000 | 5,374,000 | 46,057,000 |
| QTo | 46,057,000 | 5,374,000 | 133,498,000 |
Exact total: 108 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) |
|---|---|---|---|---|
| KTo | 2.794 | 1.385 | 4.015 | 0.358 |
| QTo | 0.358 | 4.015 | 1.385 | 2.794 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: KTo holds 84.13% on low rainbow flops (nine high or lower) and 68.13% on monotone flops. KTo 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 | KTo wins | Ties | QTo wins | KTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.275 | 69.013 | 2.465 | 28.522 | 70.246 |
| Rainbow, nine or lower | 7.771 | 82.734 | 2.785 | 14.481 | 84.127 |
| Two-tone | 46.477 | 71.846 | 2.473 | 25.681 | 73.082 |
| Monotone | 5.144 | 66.500 | 3.257 | 30.243 | 68.129 |
| Paired | 17.333 | 74.335 | 4.610 | 21.055 | 76.640 |
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
Relative to a random opponent, KTo changes by +13.90 points (baseline 59.74%) and QTo by -30.93 points (baseline 57.29%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTo, all flops | 73.642 | 59.739 | +13.903 | 1.23273 |
| KTo, rainbow, ten or higher | 70.246 | 59.739 | +10.507 | 1.17588 |
| KTo, rainbow, nine or lower | 84.127 | 59.739 | +24.388 | 1.40824 |
| KTo, two-tone | 73.082 | 59.739 | +13.343 | 1.22335 |
| KTo, monotone | 68.129 | 59.739 | +8.390 | 1.14044 |
| KTo, paired | 76.640 | 59.739 | +16.901 | 1.28291 |
| QTo, all flops | 26.358 | 57.291 | -30.933 | 0.46007 |
| QTo, rainbow, ten or higher | 29.754 | 57.291 | -27.537 | 0.51935 |
| QTo, rainbow, nine or lower | 15.873 | 57.291 | -41.418 | 0.27706 |
| QTo, two-tone | 26.918 | 57.291 | -30.373 | 0.46985 |
| QTo, monotone | 31.871 | 57.291 | -25.420 | 0.55630 |
| QTo, paired | 23.360 | 57.291 | -33.931 | 0.40774 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KTo has 73.74%; looking only at deals where they do not, 73.29%. KTo does better with a shared suit, by 0.45 points.
| Deals | Specific deals | Share of deals | KTo wins | Ties | QTo wins | KTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 72.275 | 2.934 | 24.791 | 73.742 |
| No shared suit | 24 | 22.22 | 71.887 | 2.809 | 25.304 | 73.292 |
How often this matchup comes up
This page stands for 108 specific-card matchups (0.0066% of 1,624,350 ordered deals), or 216 once you count the seats both ways (0.0133%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KTo gets $147.28 of it on average and QTo gets $52.72.
A thousand deals look like this: KTo takes 722, QTo takes 249, 29 are ties.
The same matchup from the other side
If you came looking for QTo against KTo, the numbers are the same with the hands swapped: 26.36% and 73.64%.
Keep exploring
KsTh against QdTc is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 108 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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