KTo
59.42%
Wins 59.11%, ties 0.62%
76s
40.58%
Wins 40.27%, ties 0.62%
KTo against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTo | 59.112 | 0.619 | 40.269 | 59.421 |
| 76s | 40.269 | 0.619 | 59.112 | 40.579 |
One side is an offsuit hand, the other is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
The lead is steady rather than large, and the flop still has plenty of say in who wins. The tie share is 0.62%: on those boards the pot is chopped and neither hand wins outright.
The hand ranking puts KTo at 33 and 76s at 115 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTo | 48,585,000 | 509,000 | 33,097,000 |
| 76s | 33,097,000 | 509,000 | 48,585,000 |
Exact total: 48 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 | 1.464 | 1.692 | 2.483 | 0.683 |
| 76s | 0.683 | 2.483 | 1.692 | 1.464 |
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
KTo prefers rainbow flops topped by a ten or better, where it holds 67.62%, and likes low rainbow flops (nine high or lower) least, where it holds 32.99%. On low rainbow flops (nine high or lower) the numbers flip and 76s is the one ahead.
| Flop | Share of flops | KTo wins | Ties | 76s wins | KTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.473 | 0.300 | 32.227 | 67.623 |
| Rainbow, nine or lower | 6.313 | 32.760 | 0.458 | 66.782 | 32.989 |
| Two-tone | 46.667 | 57.691 | 0.316 | 41.993 | 57.849 |
| Monotone | 5.212 | 56.667 | 2.430 | 40.903 | 57.882 |
| Paired | 17.091 | 61.381 | 1.415 | 37.204 | 62.088 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
A random hand would give KTo 59.74% and 76s 45.37%. Against each other the change is -0.32 points for KTo and -4.79 for 76s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTo, all flops | 59.421 | 59.739 | -0.318 | 0.99468 |
| KTo, rainbow, ten or higher | 67.623 | 59.739 | +7.884 | 1.13197 |
| KTo, rainbow, nine or lower | 32.989 | 59.739 | -26.750 | 0.55222 |
| KTo, two-tone | 57.849 | 59.739 | -1.890 | 0.96836 |
| KTo, monotone | 57.882 | 59.739 | -1.857 | 0.96891 |
| KTo, paired | 62.088 | 59.739 | +2.349 | 1.03932 |
| 76s, all flops | 40.579 | 45.372 | -4.793 | 0.89436 |
| 76s, rainbow, ten or higher | 32.377 | 45.372 | -12.995 | 0.71359 |
| 76s, rainbow, nine or lower | 67.011 | 45.372 | +21.639 | 1.47692 |
| 76s, two-tone | 42.151 | 45.372 | -3.221 | 0.92901 |
| 76s, monotone | 42.118 | 45.372 | -3.254 | 0.92828 |
| 76s, paired | 37.912 | 45.372 | -7.460 | 0.83558 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KTo has 60.10%; looking only at deals where they do not, 58.74%. KTo does better with a shared suit, by 1.36 points.
| Deals | Specific deals | Share of deals | KTo wins | Ties | 76s wins | KTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.770 | 0.661 | 39.569 | 60.100 |
| No shared suit | 24 | 50.00 | 58.454 | 0.578 | 40.968 | 58.743 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are KTo against 76s, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
Take a $200 pot built from $100 each. KTo's equity of 59.42% is worth $118.84, a $18.84 edge, and 76s' 40.58% is worth $81.16, which is $18.84 under its stake.
Run 1,000 deals and the tally comes out near 591 for KTo, 403 for 76s and 6 ties.
The same matchup from the other side
If you came looking for 76s against KTo, the numbers are the same with the hands swapped: 40.58% and 59.42%.
Keep exploring
The calculator link fills in KsTh against 7d6d, 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
Nothing here is simulated. The 48 deals of KTo against 76s 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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