KTs
63.15%
Wins 62.81%, ties 0.67%
86s
36.85%
Wins 36.52%, ties 0.67%
KTs against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 62.813 | 0.665 | 36.522 | 63.146 |
| 86s | 36.522 | 0.665 | 62.813 | 36.854 |
Two suited hands meet here: KTs against 86s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
KTs is ahead, but 86s is far from dead: it takes 365 of every 1,000 deals outright. Split pots make up 0.67% of the boards, and both equity figures count them as half a win each.
By strength against a random hand, KTs holds place 22 of 169 and 86s holds place 110.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 17,209,000 | 182,000 | 10,006,000 |
| 86s | 10,006,000 | 182,000 | 17,209,000 |
The board total is exact, 16 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) |
|---|---|---|---|---|
| KTs | 1.713 | 1.592 | 2.738 | 0.584 |
| 86s | 0.584 | 2.738 | 1.592 | 1.713 |
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, KTs peaks at 70.19% on rainbow flops topped by a ten or better and bottoms out at 37.48% on low rainbow flops (nine high or lower). 86s is ahead on low rainbow flops (nine high or lower), even though it trails KTs when every flop is counted.
| Flop | Share of flops | KTs wins | Ties | 86s wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 70.048 | 0.291 | 29.661 | 70.193 |
| Rainbow, nine or lower | 6.314 | 37.231 | 0.506 | 62.263 | 37.484 |
| Two-tone | 46.727 | 62.368 | 0.310 | 37.322 | 62.523 |
| Monotone | 5.273 | 58.534 | 3.453 | 38.013 | 60.260 |
| Paired | 17.091 | 64.390 | 1.374 | 34.236 | 65.077 |
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
Compared with a random opponent, this matchup shifts KTs from 61.79% by +1.36 points and 86s from 46.24% by -9.39 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 63.146 | 61.789 | +1.357 | 1.02196 |
| KTs, rainbow, ten or higher | 70.193 | 61.789 | +8.404 | 1.13601 |
| KTs, rainbow, nine or lower | 37.484 | 61.789 | -24.305 | 0.60665 |
| KTs, two-tone | 62.523 | 61.789 | +0.734 | 1.01188 |
| KTs, monotone | 60.260 | 61.789 | -1.529 | 0.97525 |
| KTs, paired | 65.077 | 61.789 | +3.288 | 1.05321 |
| 86s, all flops | 36.854 | 46.243 | -9.389 | 0.79696 |
| 86s, rainbow, ten or higher | 29.807 | 46.243 | -16.436 | 0.64457 |
| 86s, rainbow, nine or lower | 62.516 | 46.243 | +16.273 | 1.35190 |
| 86s, two-tone | 37.477 | 46.243 | -8.766 | 0.81044 |
| 86s, monotone | 39.740 | 46.243 | -6.503 | 0.85937 |
| 86s, paired | 34.923 | 46.243 | -11.320 | 0.75521 |
Does a shared suit matter?
The suit split reads 65.51% for KTs with a shared suit and 62.36% without one. KTs does better with a shared suit, by 3.15 points.
| Deals | Specific deals | Share of deals | KTs wins | Ties | 86s wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.135 | 0.751 | 34.114 | 65.511 |
| No shared suit | 12 | 75.00 | 62.039 | 0.637 | 37.324 | 62.358 |
How often this matchup comes up
KTs against 86s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.
A worked example
Put $100 each into a $200 pot and deal every board once: KTs averages $126.30 back, ahead of its $100 by $26.30, while 86s averages $73.70, short of its $100 by $26.30.
Run 1,000 deals and the tally comes out near 628 for KTs, 365 for 86s and 7 ties.
The same matchup from the other side
86s against KTs adds nothing new: it is 36.85% for 86s and 63.15% for KTs, the same figures reversed.
Keep exploring
The calculator link fills in KsTs against 8h6h, 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
Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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