KK
79.17%
Wins 78.99%, ties 0.36%
86s
20.83%
Wins 20.65%, ties 0.36%
KK against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 78.994 | 0.360 | 20.646 | 79.174 |
| 86s | 20.646 | 0.360 | 78.994 | 20.826 |
The matchup pits a pocket pair against a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
KK is well ahead, and 86s needs a specific kind of board to catch up. Of every 100 boards, about 0.36 are split pots, and the equity figures already include them.
Ranked by equity against a random hand, KK is number 2 of the 169 starting hands and 86s is number 110.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 32,463,000 | 148,000 | 8,485,000 |
| 86s | 8,485,000 | 148,000 | 32,463,000 |
The board total is exact, 24 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) |
|---|---|---|---|---|
| KK | 3.802 | 1.266 | 4.844 | 0.263 |
| 86s | 0.263 | 4.844 | 1.266 | 3.802 |
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, KK peaks at 84.42% on rainbow flops topped by a ten or better and bottoms out at 66.42% on low rainbow flops (nine high or lower). KK 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 | KK wins | Ties | 86s wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 84.334 | 0.177 | 15.489 | 84.422 |
| Rainbow, nine or lower | 6.314 | 66.053 | 0.743 | 33.204 | 66.424 |
| Two-tone | 46.545 | 77.135 | 0.278 | 22.587 | 77.274 |
| Monotone | 5.212 | 72.657 | 2.390 | 24.953 | 73.852 |
| Paired | 17.334 | 83.031 | 0.092 | 16.877 | 83.077 |
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
How much does the opponent matter? Compared with its random-hand 82.40%, KK changes by -3.23 points, and 86s, from 46.24%, by -25.41.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 79.174 | 82.396 | -3.222 | 0.96090 |
| KK, rainbow, ten or higher | 84.422 | 82.396 | +2.026 | 1.02459 |
| KK, rainbow, nine or lower | 66.424 | 82.396 | -15.972 | 0.80616 |
| KK, two-tone | 77.274 | 82.396 | -5.122 | 0.93784 |
| KK, monotone | 73.852 | 82.396 | -8.544 | 0.89631 |
| KK, paired | 83.077 | 82.396 | +0.681 | 1.00826 |
| 86s, all flops | 20.826 | 46.243 | -25.417 | 0.45036 |
| 86s, rainbow, ten or higher | 15.578 | 46.243 | -30.665 | 0.33687 |
| 86s, rainbow, nine or lower | 33.576 | 46.243 | -12.667 | 0.72608 |
| 86s, two-tone | 22.726 | 46.243 | -23.517 | 0.49145 |
| 86s, monotone | 26.148 | 46.243 | -20.095 | 0.56545 |
| 86s, paired | 16.923 | 46.243 | -29.320 | 0.36596 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (KK at 79.76%) and 12 do not (78.59%). KK does better with a shared suit, by 1.17 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | 86s wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.557 | 0.403 | 20.040 | 79.758 |
| No shared suit | 12 | 50.00 | 78.432 | 0.318 | 21.250 | 78.591 |
How often this matchup comes up
This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KK gets $158.34 of it on average and 86s gets $41.66.
Think in thousands: about 790 of 1,000 go to KK, about 206 go to 86s, and about 4 are chopped.
The same matchup from the other side
Read it from the other side: 86s against KK is the same matchup with the numbers swapped, so 86s holds 20.83% and KK holds 79.17%. That address sends you back to this page.
Keep exploring
Try KsKh against 8d6d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
Method: exact enumeration. The 24 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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