KTo
71.52%
Wins 69.91%, ties 3.21%
T9o
28.48%
Wins 26.88%, ties 3.21%
KTo against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTo | 69.911 | 3.214 | 26.875 | 71.518 |
| T9o | 26.875 | 3.214 | 69.911 | 28.482 |
KTo meets T9o, and both are offsuit hands. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
That is a clear edge, 71.52% to 28.48%, but T9o still wins often enough that one hand proves nothing. About 3.21% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Place 33 of 169 belongs to KTo and place 78 belongs to T9o in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTo | 129,286,000 | 5,944,000 | 49,700,000 |
| T9o | 49,700,000 | 5,944,000 | 129,286,000 |
Exact total: 108 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KTo | 2.511 | 1.430 | 3.721 | 0.398 |
| T9o | 0.398 | 3.721 | 1.430 | 2.511 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Across the five flop textures KTo's equity moves by 17.59 points, from 57.64% on low rainbow flops (nine high or lower) to 75.23% on paired flops. KTo 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 | KTo wins | Ties | T9o wins | KTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.003 | 73.558 | 2.917 | 23.525 | 75.017 |
| Rainbow, nine or lower | 7.042 | 56.218 | 2.848 | 40.934 | 57.642 |
| Two-tone | 46.477 | 69.381 | 2.815 | 27.804 | 70.788 |
| Monotone | 5.144 | 66.528 | 3.506 | 29.966 | 68.281 |
| Paired | 17.334 | 72.848 | 4.758 | 22.394 | 75.227 |
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 +11.78 points for KTo, from 59.74%, and -23.05 for T9o, from 51.53%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTo, all flops | 71.518 | 59.739 | +11.779 | 1.19717 |
| KTo, rainbow, ten or higher | 75.017 | 59.739 | +15.278 | 1.25575 |
| KTo, rainbow, nine or lower | 57.642 | 59.739 | -2.097 | 0.96490 |
| KTo, two-tone | 70.788 | 59.739 | +11.049 | 1.18495 |
| KTo, monotone | 68.281 | 59.739 | +8.542 | 1.14299 |
| KTo, paired | 75.227 | 59.739 | +15.488 | 1.25926 |
| T9o, all flops | 28.482 | 51.532 | -23.050 | 0.55271 |
| T9o, rainbow, ten or higher | 24.983 | 51.532 | -26.549 | 0.48481 |
| T9o, rainbow, nine or lower | 42.358 | 51.532 | -9.174 | 0.82197 |
| T9o, two-tone | 29.212 | 51.532 | -22.320 | 0.56687 |
| T9o, monotone | 31.719 | 51.532 | -19.813 | 0.61552 |
| T9o, paired | 24.773 | 51.532 | -26.759 | 0.48073 |
Does a shared suit matter?
When the hands share a suit, KTo holds 71.68%; when they do not, it holds 70.95%. KTo does better with a shared suit, by 0.73 points.
| Deals | Specific deals | Share of deals | KTo wins | Ties | T9o wins | KTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 70.057 | 3.243 | 26.700 | 71.679 |
| No shared suit | 24 | 22.22 | 69.399 | 3.111 | 27.490 | 70.954 |
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
With $100 from each side, the $200 pot is split on average as $143.04 for KTo and $56.96 for T9o; the first side gains $43.04 per all-in and the second gives up $43.04.
Run 1,000 deals and the tally comes out near 699 for KTo, 269 for T9o and 32 ties.
The same matchup from the other side
Swap the hands and you get T9o with 28.48% against KTo with 71.52%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with KsTh against Td9c 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
Nothing here is simulated. The 108 deals of KTo against T9o fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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