K9o
59.23%
Wins 58.91%, ties 0.64%
87s
40.77%
Wins 40.45%, ties 0.64%
K9o against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9o | 58.913 | 0.641 | 40.446 | 59.233 |
| 87s | 40.446 | 0.641 | 58.913 | 40.767 |
We compare an offsuit hand with a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Of every 100 boards, about 0.64 are split pots, and the equity figures already include them.
By strength against a random hand, K9o holds place 40 of 169 and 87s holds place 100.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9o | 48,421,000 | 527,000 | 33,243,000 |
| 87s | 33,243,000 | 527,000 | 48,421,000 |
The board total is exact, 48 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) |
|---|---|---|---|---|
| K9o | 1.453 | 1.697 | 2.472 | 0.688 |
| 87s | 0.688 | 2.472 | 1.697 | 1.453 |
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
Break the boards down by their first three cards and K9o is strongest on rainbow flops topped by a ten or better (63.81%) and weakest on low rainbow flops (nine high or lower) (44.62%). K9o is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | K9o wins | Ties | 87s wins | K9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 63.638 | 0.352 | 36.010 | 63.814 |
| Rainbow, nine or lower | 5.689 | 44.423 | 0.386 | 55.191 | 44.616 |
| Two-tone | 46.667 | 57.413 | 0.337 | 42.250 | 57.581 |
| Monotone | 5.212 | 56.420 | 2.434 | 41.146 | 57.637 |
| Paired | 17.091 | 61.584 | 1.439 | 36.977 | 62.303 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Each hand has a baseline against a random hand: 57.81% for K9o, 47.94% for 87s. Here the change is +1.42 and -7.17 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9o, all flops | 59.233 | 57.812 | +1.421 | 1.02458 |
| K9o, rainbow, ten or higher | 63.814 | 57.812 | +6.002 | 1.10382 |
| K9o, rainbow, nine or lower | 44.616 | 57.812 | -13.196 | 0.77174 |
| K9o, two-tone | 57.581 | 57.812 | -0.231 | 0.99600 |
| K9o, monotone | 57.637 | 57.812 | -0.175 | 0.99697 |
| K9o, paired | 62.303 | 57.812 | +4.491 | 1.07768 |
| 87s, all flops | 40.767 | 47.936 | -7.169 | 0.85045 |
| 87s, rainbow, ten or higher | 36.186 | 47.936 | -11.750 | 0.75488 |
| 87s, rainbow, nine or lower | 55.384 | 47.936 | +7.448 | 1.15537 |
| 87s, two-tone | 42.419 | 47.936 | -5.517 | 0.88491 |
| 87s, monotone | 42.363 | 47.936 | -5.573 | 0.88374 |
| 87s, paired | 37.697 | 47.936 | -10.239 | 0.78640 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and K9o holds 59.89%. In 24 they do not, and it holds 58.58%. K9o does better with a shared suit, by 1.31 points.
| Deals | Specific deals | Share of deals | K9o wins | Ties | 87s wins | K9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.546 | 0.682 | 39.772 | 59.887 |
| No shared suit | 24 | 50.00 | 58.279 | 0.600 | 41.121 | 58.579 |
How often this matchup comes up
Counting specific cards, K9o against 87s appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says K9o gets $118.46 of it on average and 87s gets $81.54.
Run 1,000 deals and the tally comes out near 589 for K9o, 405 for 87s and 6 ties.
The same matchup from the other side
Swap the hands and you get 87s with 40.77% against K9o with 59.23%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try Ks9h against 8d7d 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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