KJo
73.08%
Wins 69.27%, ties 7.62%
K9o
26.92%
Wins 23.11%, ties 7.62%
KJo against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 69.271 | 7.622 | 23.107 | 73.082 |
| K9o | 23.107 | 7.622 | 69.271 | 26.918 |
This is a contest between two offsuit hands, KJo and K9o. 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, 73.08% to 26.92%, but K9o still wins often enough that one hand proves nothing. A split pot comes up on 7.62% of boards, so the wins and the equity differ by half of that.
Place 26 of 169 belongs to KJo and place 40 belongs to K9o in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 128,102,000 | 14,095,000 | 42,732,000 |
| K9o | 42,732,000 | 14,095,000 | 128,102,000 |
108 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 | 2.715 | 1.444 | 4.328 | 0.368 |
| K9o | 0.368 | 4.328 | 1.444 | 2.715 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for KJo (78.00%); low rainbow flops (nine high or lower) are the worst (61.83%). KJo 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 | KJo wins | Ties | K9o wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.003 | 75.082 | 5.837 | 19.081 | 78.000 |
| Rainbow, nine or lower | 7.042 | 60.375 | 2.902 | 36.723 | 61.826 |
| Two-tone | 46.477 | 71.079 | 5.095 | 23.826 | 73.626 |
| Monotone | 5.144 | 65.384 | 5.744 | 28.872 | 68.256 |
| Paired | 17.334 | 61.145 | 19.345 | 19.510 | 70.818 |
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
The table below sets each hand against its own random-hand baseline: a change of +12.51 points for KJo, from 60.57%, and -30.89 for K9o, from 57.81%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 73.082 | 60.569 | +12.513 | 1.20659 |
| KJo, rainbow, ten or higher | 78.000 | 60.569 | +17.431 | 1.28779 |
| KJo, rainbow, nine or lower | 61.826 | 60.569 | +1.257 | 1.02075 |
| KJo, two-tone | 73.626 | 60.569 | +13.057 | 1.21557 |
| KJo, monotone | 68.256 | 60.569 | +7.687 | 1.12691 |
| KJo, paired | 70.818 | 60.569 | +10.249 | 1.16921 |
| K9o, all flops | 26.918 | 57.812 | -30.894 | 0.46561 |
| K9o, rainbow, ten or higher | 22.000 | 57.812 | -35.812 | 0.38054 |
| K9o, rainbow, nine or lower | 38.174 | 57.812 | -19.638 | 0.66031 |
| K9o, two-tone | 26.374 | 57.812 | -31.438 | 0.45620 |
| K9o, monotone | 31.744 | 57.812 | -26.068 | 0.54909 |
| K9o, paired | 29.182 | 57.812 | -28.630 | 0.50477 |
Does a shared suit matter?
Split by suits, the deals give KJo 73.19% when the hands overlap in a suit and 72.72% when they do not. KJo does better with a shared suit, by 0.47 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | K9o wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 69.359 | 7.654 | 22.987 | 73.186 |
| No shared suit | 24 | 22.22 | 68.962 | 7.511 | 23.527 | 72.717 |
How often this matchup comes up
How often does it happen? 108 of the 1,624,350 ordered deals (0.0066%) are KJo against K9o, and 216 (0.0133%) if either hand may sit in either seat.
A worked example
Put $100 each into a $200 pot and deal every board once: KJo averages $146.16 back, ahead of its $100 by $46.16, while K9o averages $53.84, short of its $100 by $46.16.
Scaled to 1,000 deals, that is roughly 693 wins for KJo, 231 for K9o and 76 chopped pots.
The same matchup from the other side
Read it from the other side: K9o against KJo is the same matchup with the numbers swapped, so K9o holds 26.92% and KJo holds 73.08%. That address sends you back to this page.
Keep exploring
KsJh against Kd9c 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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