KTo
68.89%
Wins 67.29%, ties 3.20%
T8s
31.11%
Wins 29.51%, ties 3.20%
KTo against T8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTo | 67.286 | 3.199 | 29.515 | 68.886 |
| T8s | 29.515 | 3.199 | 67.286 | 31.114 |
The matchup pits an offsuit hand against a suited hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
KTo is well ahead, and T8s needs a specific kind of board to catch up. Split pots make up 3.20% of the boards, and both equity figures count them as half a win each.
The hand ranking puts KTo at 33 and T8s at 73 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTo | 41,477,000 | 1,972,000 | 18,194,000 |
| T8s | 18,194,000 | 1,972,000 | 41,477,000 |
The total is exact: 36 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 | 2.214 | 1.486 | 3.388 | 0.452 |
| T8s | 0.452 | 3.388 | 1.486 | 2.214 |
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
If you know the kind of flop that came, the numbers shift: KTo holds 75.20% on rainbow flops topped by a ten or better and 54.60% on low rainbow flops (nine high or lower). 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 | T8s wins | KTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 73.712 | 2.985 | 23.303 | 75.204 |
| Rainbow, nine or lower | 7.042 | 53.260 | 2.689 | 44.051 | 54.604 |
| Two-tone | 46.527 | 65.684 | 2.734 | 31.582 | 67.051 |
| Monotone | 5.192 | 62.383 | 4.045 | 33.572 | 64.406 |
| Paired | 17.334 | 69.892 | 4.697 | 25.411 | 72.241 |
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
Each hand has a baseline against a random hand: 59.74% for KTo, 52.33% for T8s. Here the change is +9.15 and -21.22 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTo, all flops | 68.886 | 59.739 | +9.147 | 1.15312 |
| KTo, rainbow, ten or higher | 75.204 | 59.739 | +15.465 | 1.25888 |
| KTo, rainbow, nine or lower | 54.604 | 59.739 | -5.135 | 0.91404 |
| KTo, two-tone | 67.051 | 59.739 | +7.312 | 1.12240 |
| KTo, monotone | 64.406 | 59.739 | +4.667 | 1.07812 |
| KTo, paired | 72.241 | 59.739 | +12.502 | 1.20928 |
| T8s, all flops | 31.114 | 52.334 | -21.220 | 0.59453 |
| T8s, rainbow, ten or higher | 24.796 | 52.334 | -27.538 | 0.47380 |
| T8s, rainbow, nine or lower | 45.396 | 52.334 | -6.938 | 0.86743 |
| T8s, two-tone | 32.949 | 52.334 | -19.385 | 0.62959 |
| T8s, monotone | 35.594 | 52.334 | -16.740 | 0.68013 |
| T8s, paired | 27.759 | 52.334 | -24.575 | 0.53042 |
Does a shared suit matter?
When the hands share a suit, KTo holds 69.96%; when they do not, it holds 68.35%. KTo does better with a shared suit, by 1.61 points.
| Deals | Specific deals | Share of deals | KTo wins | Ties | T8s wins | KTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 68.305 | 3.308 | 28.387 | 69.959 |
| No shared suit | 24 | 66.67 | 66.777 | 3.145 | 30.078 | 68.349 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 36 are KTo in one seat and T8s in the other (0.0022%); with the seats swapped too, 72 (0.0044%).
A worked example
With $100 from each side, the $200 pot is split on average as $137.78 for KTo and $62.22 for T8s; the first side gains $37.78 per all-in and the second gives up $37.78.
Out of 1,000 deals you should see around 673 outright wins for KTo, 295 for T8s, and 32 split pots.
The same matchup from the other side
One page covers both views. From T8s' side the equity is 31.11%, and from KTo's side it is 68.89%.
Keep exploring
KsTh against Td8d 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
Nothing here is simulated. The 36 deals of KTo against T8s 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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