KJo
59.71%
Wins 59.39%, ties 0.64%
87s
40.29%
Wins 39.97%, ties 0.64%
KJo against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 59.387 | 0.638 | 39.975 | 59.706 |
| 87s | 39.975 | 0.638 | 59.387 | 40.294 |
We compare an offsuit hand with a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. The tie share is 0.64%: on those boards the pot is chopped and neither hand wins outright.
The hand ranking puts KJo at 26 and 87s at 100 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 48,811,000 | 524,000 | 32,856,000 |
| 87s | 32,856,000 | 524,000 | 48,811,000 |
48 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) |
|---|---|---|---|---|
| KJo | 1.482 | 1.684 | 2.502 | 0.675 |
| 87s | 0.675 | 2.502 | 1.684 | 1.482 |
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
If you know the kind of flop that came, the numbers shift: KJo holds 67.57% on rainbow flops topped by a ten or better and 35.12% on low rainbow flops (nine high or lower). Low rainbow flops (nine high or lower) favor 87s, the hand that is behind overall.
| Flop | Share of flops | KJo wins | Ties | 87s wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.414 | 0.318 | 32.268 | 67.573 |
| Rainbow, nine or lower | 6.313 | 34.855 | 0.531 | 64.614 | 35.120 |
| Two-tone | 46.667 | 58.019 | 0.341 | 41.640 | 58.189 |
| Monotone | 5.212 | 56.876 | 2.437 | 40.687 | 58.095 |
| Paired | 17.091 | 61.344 | 1.403 | 37.253 | 62.046 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Against one random hand instead, KJo holds 60.57% and 87s holds 47.94%. Facing each other changes that by -0.86 points for KJo and -7.65 points for 87s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 59.706 | 60.569 | -0.863 | 0.98575 |
| KJo, rainbow, ten or higher | 67.573 | 60.569 | +7.004 | 1.11564 |
| KJo, rainbow, nine or lower | 35.120 | 60.569 | -25.449 | 0.57983 |
| KJo, two-tone | 58.189 | 60.569 | -2.380 | 0.96071 |
| KJo, monotone | 58.095 | 60.569 | -2.474 | 0.95915 |
| KJo, paired | 62.046 | 60.569 | +1.477 | 1.02439 |
| 87s, all flops | 40.294 | 47.936 | -7.642 | 0.84058 |
| 87s, rainbow, ten or higher | 32.427 | 47.936 | -15.509 | 0.67646 |
| 87s, rainbow, nine or lower | 64.880 | 47.936 | +16.944 | 1.35347 |
| 87s, two-tone | 41.811 | 47.936 | -6.125 | 0.87223 |
| 87s, monotone | 41.905 | 47.936 | -6.031 | 0.87419 |
| 87s, paired | 37.954 | 47.936 | -9.982 | 0.79176 |
Does a shared suit matter?
The suit split reads 60.40% for KJo with a shared suit and 59.02% without one. KJo does better with a shared suit, by 1.38 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | 87s wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.055 | 0.679 | 39.266 | 60.395 |
| No shared suit | 24 | 50.00 | 58.720 | 0.596 | 40.684 | 59.018 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are KJo in one seat and 87s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
Put $100 each into a $200 pot and deal every board once: KJo averages $119.42 back, ahead of its $100 by $19.42, while 87s averages $80.58, short of its $100 by $19.42.
Scaled to 1,000 deals, that is roughly 594 wins for KJo, 400 for 87s and 6 chopped pots.
The same matchup from the other side
One page covers both views. From 87s' side the equity is 40.29%, and from KJo's side it is 59.71%.
Keep exploring
KsJh against 8d7d 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 48 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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session