KTo
60.47%
Wins 60.14%, ties 0.67%
75s
39.53%
Wins 39.19%, ties 0.67%
KTo against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTo | 60.140 | 0.668 | 39.192 | 60.474 |
| 75s | 39.192 | 0.668 | 60.140 | 39.526 |
Here an offsuit hand (KTo) meets a suited hand (75s). With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Of every 100 boards, about 0.67 are split pots, and the equity figures already include them.
By strength against a random hand, KTo holds place 33 of 169 and 75s holds place 124.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTo | 49,429,000 | 549,000 | 32,212,000 |
| 75s | 32,212,000 | 549,000 | 49,429,000 |
The board total is exact, 48 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) |
|---|---|---|---|---|
| KTo | 1.530 | 1.663 | 2.552 | 0.654 |
| 75s | 0.654 | 2.552 | 1.663 | 1.530 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for KTo (68.78%); low rainbow flops (nine high or lower) are the worst (34.39%). Low rainbow flops (nine high or lower) favor 75s, the hand that is behind overall.
| Flop | Share of flops | KTo wins | Ties | 75s wins | KTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.608 | 0.347 | 31.045 | 68.781 |
| Rainbow, nine or lower | 6.313 | 34.093 | 0.583 | 65.324 | 34.385 |
| Two-tone | 46.667 | 58.766 | 0.373 | 40.861 | 58.952 |
| Monotone | 5.212 | 57.487 | 2.471 | 40.042 | 58.723 |
| Paired | 17.091 | 62.079 | 1.419 | 36.502 | 62.788 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Against one random hand instead, KTo holds 59.74% and 75s holds 43.68%. Facing each other changes that by +0.73 points for KTo and -4.15 points for 75s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTo, all flops | 60.474 | 59.739 | +0.735 | 1.01230 |
| KTo, rainbow, ten or higher | 68.781 | 59.739 | +9.042 | 1.15136 |
| KTo, rainbow, nine or lower | 34.385 | 59.739 | -25.354 | 0.57559 |
| KTo, two-tone | 58.952 | 59.739 | -0.787 | 0.98683 |
| KTo, monotone | 58.723 | 59.739 | -1.016 | 0.98299 |
| KTo, paired | 62.788 | 59.739 | +3.049 | 1.05104 |
| 75s, all flops | 39.526 | 43.676 | -4.150 | 0.90498 |
| 75s, rainbow, ten or higher | 31.219 | 43.676 | -12.457 | 0.71479 |
| 75s, rainbow, nine or lower | 65.615 | 43.676 | +21.939 | 1.50231 |
| 75s, two-tone | 41.048 | 43.676 | -2.628 | 0.93983 |
| 75s, monotone | 41.277 | 43.676 | -2.399 | 0.94507 |
| 75s, paired | 37.212 | 43.676 | -6.464 | 0.85200 |
Does a shared suit matter?
Split by suits, the deals give KTo 61.19% when the hands overlap in a suit and 59.76% when they do not. KTo does better with a shared suit, by 1.43 points.
| Deals | Specific deals | Share of deals | KTo wins | Ties | 75s wins | KTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.830 | 0.710 | 38.460 | 61.185 |
| No shared suit | 24 | 50.00 | 59.451 | 0.626 | 39.923 | 59.764 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are KTo against 75s, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
With $100 from each side, the $200 pot is split on average as $120.94 for KTo and $79.06 for 75s; the first side gains $20.94 per all-in and the second gives up $20.94.
Out of 1,000 deals you should see around 601 outright wins for KTo, 392 for 75s, and 7 split pots.
The same matchup from the other side
The mirror image, 75s against KTo, is 39.53% to 60.47%, and its address redirects to this page.
Keep exploring
Open the calculator with KsTh against 7d5d 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session