KTo
60.66%
Wins 60.34%, ties 0.63%
86s
39.34%
Wins 39.03%, ties 0.63%
KTo against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTo | 60.344 | 0.628 | 39.028 | 60.658 |
| 86s | 39.028 | 0.628 | 60.344 | 39.342 |
KTo and 86s are an offsuit hand and a suited hand, in that order. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 21.32 point lead is real, and 86s still takes about 390 of every 1,000 deals outright. Ties are 0.63% of the outcomes here; each tied board gives both hands half the pot.
Place 33 of 169 belongs to KTo and place 110 belongs to 86s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTo | 49,597,000 | 516,000 | 32,077,000 |
| 86s | 32,077,000 | 516,000 | 49,597,000 |
48 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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 | 1.542 | 1.657 | 2.562 | 0.649 |
| 86s | 0.649 | 2.562 | 1.657 | 1.542 |
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
Split by what the flop looks like, KTo peaks at 68.89% on rainbow flops topped by a ten or better and bottoms out at 35.04% on low rainbow flops (nine high or lower). 86s is ahead on low rainbow flops (nine high or lower), even though it trails KTo when every flop is counted.
| Flop | Share of flops | KTo wins | Ties | 86s wins | KTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.743 | 0.300 | 30.957 | 68.893 |
| Rainbow, nine or lower | 6.313 | 34.773 | 0.526 | 64.701 | 35.036 |
| Two-tone | 46.667 | 58.985 | 0.327 | 40.688 | 59.148 |
| Monotone | 5.212 | 57.617 | 2.428 | 39.955 | 58.831 |
| Paired | 17.091 | 62.186 | 1.411 | 36.403 | 62.892 |
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 86s holds 46.24%. Facing each other changes that by +0.92 points for KTo and -6.90 points for 86s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTo, all flops | 60.658 | 59.739 | +0.919 | 1.01538 |
| KTo, rainbow, ten or higher | 68.893 | 59.739 | +9.154 | 1.15323 |
| KTo, rainbow, nine or lower | 35.036 | 59.739 | -24.703 | 0.58648 |
| KTo, two-tone | 59.148 | 59.739 | -0.591 | 0.99011 |
| KTo, monotone | 58.831 | 59.739 | -0.908 | 0.98480 |
| KTo, paired | 62.892 | 59.739 | +3.153 | 1.05278 |
| 86s, all flops | 39.342 | 46.243 | -6.901 | 0.85077 |
| 86s, rainbow, ten or higher | 31.107 | 46.243 | -15.136 | 0.67269 |
| 86s, rainbow, nine or lower | 64.964 | 46.243 | +18.721 | 1.40484 |
| 86s, two-tone | 40.852 | 46.243 | -5.391 | 0.88342 |
| 86s, monotone | 41.169 | 46.243 | -5.074 | 0.89028 |
| 86s, paired | 37.108 | 46.243 | -9.135 | 0.80246 |
Does a shared suit matter?
Of the deals of this matchup, 24 share a suit (KTo at 61.36%) and 24 do not (59.95%). KTo does better with a shared suit, by 1.41 points.
| Deals | Specific deals | Share of deals | KTo wins | Ties | 86s wins | KTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.027 | 0.669 | 38.304 | 61.361 |
| No shared suit | 24 | 50.00 | 59.661 | 0.586 | 39.753 | 59.954 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, KTo's average share is $121.32 (a gain of $21.32) and 86s' is $78.68 (a loss of $21.32).
In 1,000 deals of exactly this matchup, expect about 604 won outright by KTo, about 390 won outright by 86s and about 6 split.
The same matchup from the other side
86s versus KTo is this same page seen from the other hand: 39.34% for 86s, 60.66% for KTo.
Keep exploring
The calculator link fills in KsTh against 8d6d, 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
We counted every case. Each suit pattern of the 48 specific KTo against 86s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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