KJs
73.94%
Wins 70.19%, ties 7.50%
KTo
26.06%
Wins 22.31%, ties 7.50%
KJs against KTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJs | 70.192 | 7.503 | 22.305 | 73.943 |
| KTo | 22.305 | 7.503 | 70.192 | 26.057 |
We compare a suited hand with 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.
A lead of 47.88 points is large but not decisive: KTo still takes about 223 of every 1,000 deals. Ties are part of the picture: 7.50% of boards end in a split pot, and each side counts that as half a win.
Place 20 of 169 belongs to KJs and place 33 belongs to KTo in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJs | 43,268,000 | 4,625,000 | 13,749,000 |
| KTo | 13,749,000 | 4,625,000 | 43,268,000 |
36 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KJs | 2.838 | 1.425 | 4.483 | 0.352 |
| KTo | 0.352 | 4.483 | 1.425 | 2.838 |
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
Split by what the flop looks like, KJs peaks at 84.82% on low rainbow flops (nine high or lower) and bottoms out at 66.88% on monotone flops. KJs 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 | KJs wins | Ties | KTo wins | KJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 68.775 | 5.752 | 25.473 | 71.651 |
| Rainbow, nine or lower | 7.771 | 83.020 | 3.603 | 13.377 | 84.822 |
| Two-tone | 46.527 | 72.444 | 4.956 | 22.600 | 74.922 |
| Monotone | 5.192 | 63.925 | 5.900 | 30.175 | 66.875 |
| Paired | 17.333 | 62.166 | 18.911 | 18.923 | 71.621 |
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
The table below sets each hand against its own random-hand baseline: a change of +11.37 points for KJs, from 62.57%, and -33.68 for KTo, from 59.74%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJs, all flops | 73.943 | 62.567 | +11.376 | 1.18182 |
| KJs, rainbow, ten or higher | 71.651 | 62.567 | +9.084 | 1.14519 |
| KJs, rainbow, nine or lower | 84.822 | 62.567 | +22.255 | 1.35570 |
| KJs, two-tone | 74.922 | 62.567 | +12.355 | 1.19747 |
| KJs, monotone | 66.875 | 62.567 | +4.308 | 1.06885 |
| KJs, paired | 71.621 | 62.567 | +9.054 | 1.14471 |
| KTo, all flops | 26.057 | 59.739 | -33.682 | 0.43618 |
| KTo, rainbow, ten or higher | 28.349 | 59.739 | -31.390 | 0.47455 |
| KTo, rainbow, nine or lower | 15.178 | 59.739 | -44.561 | 0.25407 |
| KTo, two-tone | 25.078 | 59.739 | -34.661 | 0.41979 |
| KTo, monotone | 33.125 | 59.739 | -26.614 | 0.55450 |
| KTo, paired | 28.379 | 59.739 | -31.360 | 0.47505 |
Does a shared suit matter?
Split by suits, the deals give KJs 73.77% when the hands overlap in a suit and 74.03% when they do not. KJs does better with no shared suit, by 0.26 points.
| Deals | Specific deals | Share of deals | KJs wins | Ties | KTo wins | KJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 69.972 | 7.601 | 22.427 | 73.773 |
| No shared suit | 24 | 66.67 | 70.301 | 7.455 | 22.244 | 74.029 |
How often this matchup comes up
This page stands for 36 specific-card matchups (0.0022% of 1,624,350 ordered deals), or 72 once you count the seats both ways (0.0044%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. KJs is worth $147.88 on average (+$47.88); KTo is worth $52.12 (-$47.88).
Scaled to 1,000 deals, that is roughly 702 wins for KJs, 223 for KTo and 75 chopped pots.
The same matchup from the other side
KTo against KJs adds nothing new: it is 26.06% for KTo and 73.94% for KJs, the same figures reversed.
Keep exploring
The calculator link fills in KsJs against KhTd, 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
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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