K9s
62.76%
Wins 62.42%, ties 0.68%
86s
37.24%
Wins 36.90%, ties 0.68%
K9s against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9s | 62.422 | 0.676 | 36.902 | 62.760 |
| 86s | 36.902 | 0.676 | 62.422 | 37.240 |
Two suited hands meet here: K9s against 86s. 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. A split pot comes up on 0.68% of boards, so the wins and the equity differ by half of that.
By strength against a random hand, K9s holds place 29 of 169 and 86s holds place 110.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9s | 17,102,000 | 185,000 | 10,110,000 |
| 86s | 10,110,000 | 185,000 | 17,102,000 |
The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| K9s | 1.685 | 1.602 | 2.710 | 0.593 |
| 86s | 0.593 | 2.710 | 1.602 | 1.685 |
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
Rainbow flops topped by a ten or better are the best for K9s (66.88%); low rainbow flops (nine high or lower) are the worst (45.89%). On low rainbow flops (nine high or lower) the numbers flip and 86s is the one ahead.
| Flop | Share of flops | K9s wins | Ties | 86s wins | K9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 66.726 | 0.306 | 32.968 | 66.879 |
| Rainbow, nine or lower | 5.689 | 45.637 | 0.511 | 53.852 | 45.892 |
| Two-tone | 46.727 | 61.891 | 0.317 | 37.792 | 62.049 |
| Monotone | 5.273 | 58.096 | 3.455 | 38.449 | 59.823 |
| Paired | 17.091 | 64.445 | 1.404 | 34.151 | 65.147 |
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 K9s from 59.99% by +2.77 points and 86s from 46.24% by -9.00 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9s, all flops | 62.760 | 59.988 | +2.772 | 1.04621 |
| K9s, rainbow, ten or higher | 66.879 | 59.988 | +6.891 | 1.11487 |
| K9s, rainbow, nine or lower | 45.892 | 59.988 | -14.096 | 0.76502 |
| K9s, two-tone | 62.049 | 59.988 | +2.061 | 1.03436 |
| K9s, monotone | 59.823 | 59.988 | -0.165 | 0.99725 |
| K9s, paired | 65.147 | 59.988 | +5.159 | 1.08600 |
| 86s, all flops | 37.240 | 46.243 | -9.003 | 0.80531 |
| 86s, rainbow, ten or higher | 33.121 | 46.243 | -13.122 | 0.71624 |
| 86s, rainbow, nine or lower | 54.108 | 46.243 | +7.865 | 1.17008 |
| 86s, two-tone | 37.951 | 46.243 | -8.292 | 0.82069 |
| 86s, monotone | 40.177 | 46.243 | -6.066 | 0.86882 |
| 86s, paired | 34.853 | 46.243 | -11.390 | 0.75369 |
Does a shared suit matter?
Split by suits, the deals give K9s 65.12% when the hands overlap in a suit and 61.97% when they do not. K9s does better with a shared suit, by 3.15 points.
| Deals | Specific deals | Share of deals | K9s wins | Ties | 86s wins | K9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.740 | 0.761 | 34.499 | 65.121 |
| No shared suit | 12 | 75.00 | 61.649 | 0.648 | 37.703 | 61.973 |
How often this matchup comes up
This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. K9s averages $125.52 from the $200, up $25.52; 86s averages $74.48, down $25.52.
Scaled to 1,000 deals, that is roughly 624 wins for K9s, 369 for 86s and 7 chopped pots.
The same matchup from the other side
86s versus K9s is this same page seen from the other hand: 37.24% for 86s, 62.76% for K9s.
Keep exploring
Ks9s against 8h6h is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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