KJo
72.90%
Wins 68.97%, ties 7.86%
KTo
27.10%
Wins 23.17%, ties 7.86%
KJo against KTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 68.969 | 7.855 | 23.176 | 72.896 |
| KTo | 23.176 | 7.855 | 68.969 | 27.104 |
The matchup is offsuit hands on both sides, KJo against KTo. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
KJo is well ahead, and KTo needs a specific kind of board to catch up. Ties are 7.86% of the outcomes here; each tied board gives both hands half the pot.
For context, KJo sits at number 26 of 169 starting hands and KTo at number 33 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 127,544,000 | 14,526,000 | 42,859,000 |
| KTo | 42,859,000 | 14,526,000 | 127,544,000 |
The board total is exact, 108 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KJo | 2.689 | 1.450 | 4.315 | 0.372 |
| KTo | 0.372 | 4.315 | 1.450 | 2.689 |
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
Split by what the flop looks like, KJo peaks at 84.27% on low rainbow flops (nine high or lower) and bottoms out at 68.14% on monotone flops. 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 | KTo wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.275 | 67.885 | 5.879 | 26.236 | 70.825 |
| Rainbow, nine or lower | 7.771 | 82.408 | 3.725 | 13.867 | 84.270 |
| Two-tone | 46.477 | 70.855 | 5.263 | 23.882 | 73.486 |
| Monotone | 5.144 | 65.189 | 5.892 | 28.919 | 68.135 |
| Paired | 17.333 | 60.464 | 19.893 | 19.643 | 70.410 |
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
A random hand would give KJo 60.57% and KTo 59.74%. Against each other the change is +12.33 points for KJo and -32.64 for KTo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 72.896 | 60.569 | +12.327 | 1.20352 |
| KJo, rainbow, ten or higher | 70.825 | 60.569 | +10.256 | 1.16933 |
| KJo, rainbow, nine or lower | 84.270 | 60.569 | +23.701 | 1.39131 |
| KJo, two-tone | 73.486 | 60.569 | +12.917 | 1.21326 |
| KJo, monotone | 68.135 | 60.569 | +7.566 | 1.12492 |
| KJo, paired | 70.410 | 60.569 | +9.841 | 1.16248 |
| KTo, all flops | 27.104 | 59.739 | -32.635 | 0.45371 |
| KTo, rainbow, ten or higher | 29.175 | 59.739 | -30.564 | 0.48837 |
| KTo, rainbow, nine or lower | 15.730 | 59.739 | -44.009 | 0.26331 |
| KTo, two-tone | 26.514 | 59.739 | -33.225 | 0.44383 |
| KTo, monotone | 31.865 | 59.739 | -27.874 | 0.53340 |
| KTo, paired | 29.590 | 59.739 | -30.149 | 0.49532 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KJo has 73.00%; looking only at deals where they do not, 72.53%. KJo does better with a shared suit, by 0.47 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | KTo wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 69.057 | 7.887 | 23.056 | 73.000 |
| No shared suit | 24 | 22.22 | 68.661 | 7.743 | 23.596 | 72.533 |
How often this matchup comes up
Counting specific cards, KJo against KTo appears in 108 of the 1,624,350 ordered heads-up deals (0.0066%), and in 216 when the seats are swapped too (0.0133%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average KJo takes back $145.80 of it, which is $45.80 more than it put in, and KTo takes back $54.20, $45.80 less than it put in.
Out of 1,000 deals you should see around 690 outright wins for KJo, 232 for KTo, and 78 split pots.
The same matchup from the other side
The reversed view, KTo against KJo, shows 27.10% for KTo and 72.90% for KJo. It is the same count, so it redirects here.
Keep exploring
Open the calculator with KsJh against KdTc already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
This is an exact count with no sampling. For the 108 ways to deal one KJo and one KTo without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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