KTo
72.08%
Wins 66.87%, ties 10.43%
K9o
27.92%
Wins 22.70%, ties 10.43%
KTo against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTo | 66.870 | 10.425 | 22.705 | 72.082 |
| K9o | 22.705 | 10.425 | 66.870 | 27.918 |
Both hands are offsuit hands: KTo and K9o. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
That is a clear edge, 72.08% to 27.92%, but K9o still wins often enough that one hand proves nothing. Ties are part of the picture: 10.43% of boards end in a split pot, and each side counts that as half a win.
Place 33 of 169 belongs to KTo and place 40 belongs to K9o in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTo | 123,662,000 | 19,279,000 | 41,988,000 |
| K9o | 41,988,000 | 19,279,000 | 123,662,000 |
The total is exact: 108 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| KTo | 2.582 | 1.495 | 4.404 | 0.387 |
| K9o | 0.387 | 4.404 | 1.495 | 2.582 |
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
By flop texture, KTo's equity runs from 63.23% on low rainbow flops (nine high or lower) up to 76.71% on rainbow flops topped by a ten or better. KTo stays ahead on all five textures.
| Flop | Share of flops | KTo wins | Ties | K9o wins | KTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.003 | 72.270 | 8.872 | 18.858 | 76.706 |
| Rainbow, nine or lower | 7.042 | 61.866 | 2.735 | 35.399 | 63.234 |
| Two-tone | 46.477 | 69.259 | 7.369 | 23.372 | 72.944 |
| Monotone | 5.144 | 63.848 | 7.612 | 28.540 | 67.654 |
| Paired | 17.334 | 55.915 | 24.727 | 19.358 | 68.279 |
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
A random hand would give KTo 59.74% and K9o 57.81%. Against each other the change is +12.34 points for KTo and -29.89 for K9o.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTo, all flops | 72.082 | 59.739 | +12.343 | 1.20662 |
| KTo, rainbow, ten or higher | 76.706 | 59.739 | +16.967 | 1.28402 |
| KTo, rainbow, nine or lower | 63.234 | 59.739 | +3.495 | 1.05850 |
| KTo, two-tone | 72.944 | 59.739 | +13.205 | 1.22104 |
| KTo, monotone | 67.654 | 59.739 | +7.915 | 1.13249 |
| KTo, paired | 68.279 | 59.739 | +8.540 | 1.14296 |
| K9o, all flops | 27.918 | 57.812 | -29.894 | 0.48291 |
| K9o, rainbow, ten or higher | 23.294 | 57.812 | -34.518 | 0.40293 |
| K9o, rainbow, nine or lower | 36.766 | 57.812 | -21.046 | 0.63596 |
| K9o, two-tone | 27.056 | 57.812 | -30.756 | 0.46800 |
| K9o, monotone | 32.346 | 57.812 | -25.466 | 0.55950 |
| K9o, paired | 31.721 | 57.812 | -26.091 | 0.54869 |
Does a shared suit matter?
Split by suits, the deals give KTo 72.19% when the hands overlap in a suit and 71.72% when they do not. KTo does better with a shared suit, by 0.47 points.
| Deals | Specific deals | Share of deals | KTo wins | Ties | K9o wins | KTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 66.954 | 10.463 | 22.583 | 72.185 |
| No shared suit | 24 | 22.22 | 66.577 | 10.291 | 23.132 | 71.723 |
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
Put $100 each into a $200 pot and deal every board once: KTo averages $144.16 back, ahead of its $100 by $44.16, while K9o averages $55.84, short of its $100 by $44.16.
Run 1,000 deals and the tally comes out near 669 for KTo, 227 for K9o and 104 ties.
The same matchup from the other side
Swap the hands and you get K9o with 27.92% against KTo with 72.08%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in KsTh against Kd9c, 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 108 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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