K9o
60.27%
Wins 59.96%, ties 0.64%
86s
39.73%
Wins 39.40%, ties 0.64%
K9o against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9o | 59.955 | 0.638 | 39.407 | 60.274 |
| 86s | 39.407 | 0.638 | 59.955 | 39.726 |
We compare an offsuit hand with a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 0.64% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, K9o is number 40 and 86s is number 110 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9o | 49,277,000 | 524,000 | 32,389,000 |
| 86s | 32,389,000 | 524,000 | 49,277,000 |
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) |
|---|---|---|---|---|
| K9o | 1.517 | 1.668 | 2.538 | 0.659 |
| 86s | 0.659 | 2.538 | 1.668 | 1.517 |
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
If you know the kind of flop that came, the numbers shift: K9o holds 65.46% on rainbow flops topped by a ten or better and 43.82% on low rainbow flops (nine high or lower). The overall edge for K9o hides low rainbow flops (nine high or lower), where 86s comes out in front.
| Flop | Share of flops | K9o wins | Ties | 86s wins | K9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 65.304 | 0.313 | 34.383 | 65.461 |
| Rainbow, nine or lower | 5.689 | 43.554 | 0.531 | 55.915 | 43.820 |
| Two-tone | 46.667 | 58.509 | 0.332 | 41.159 | 58.675 |
| Monotone | 5.212 | 57.250 | 2.432 | 40.318 | 58.466 |
| Paired | 17.091 | 62.260 | 1.443 | 36.297 | 62.981 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 57.81%, K9o changes by +2.46 points, and 86s, from 46.24%, by -6.51.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9o, all flops | 60.274 | 57.812 | +2.462 | 1.04259 |
| K9o, rainbow, ten or higher | 65.461 | 57.812 | +7.649 | 1.13231 |
| K9o, rainbow, nine or lower | 43.820 | 57.812 | -13.992 | 0.75797 |
| K9o, two-tone | 58.675 | 57.812 | +0.863 | 1.01493 |
| K9o, monotone | 58.466 | 57.812 | +0.654 | 1.01131 |
| K9o, paired | 62.981 | 57.812 | +5.169 | 1.08941 |
| 86s, all flops | 39.726 | 46.243 | -6.517 | 0.85907 |
| 86s, rainbow, ten or higher | 34.539 | 46.243 | -11.704 | 0.74690 |
| 86s, rainbow, nine or lower | 56.180 | 46.243 | +9.937 | 1.21489 |
| 86s, two-tone | 41.325 | 46.243 | -4.918 | 0.89365 |
| 86s, monotone | 41.534 | 46.243 | -4.709 | 0.89817 |
| 86s, paired | 37.019 | 46.243 | -9.224 | 0.80053 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, K9o has 60.96%; looking only at deals where they do not, 59.59%. K9o does better with a shared suit, by 1.37 points.
| Deals | Specific deals | Share of deals | K9o wins | Ties | 86s wins | K9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.620 | 0.679 | 38.701 | 60.960 |
| No shared suit | 24 | 50.00 | 59.291 | 0.597 | 40.112 | 59.589 |
How often this matchup comes up
The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, K9o's average share is $120.54 (a gain of $20.54) and 86s' is $79.46 (a loss of $20.54).
Over a long run, 1,000 deals split into about 600 for K9o, 394 for 86s and 6 tied.
The same matchup from the other side
Read it from the other side: 86s against K9o is the same matchup with the numbers swapped, so 86s holds 39.73% and K9o holds 60.27%. That address sends you back to this page.
Keep exploring
Open the calculator with Ks9h against 8d6d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
This is an exact count with no sampling. For the 48 ways to deal one K9o and one 86s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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