K9s
52.49%
Wins 7.16%, ties 90.67%
K9o
47.51%
Wins 2.17%, ties 90.67%
K9s against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9s | 7.158 | 90.669 | 2.173 | 52.492 |
| K9o | 2.173 | 90.669 | 7.158 | 47.508 |
The matchup pits a suited hand against an offsuit hand. The two classes use the same two ranks and differ only in suits, so the suited hand is ahead mainly by making flushes.
This is close to even money, with K9s a little ahead. Of every 100 boards, about 90.67 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, K9s is number 29 and K9o is number 40.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9s | 2,942,000 | 37,261,000 | 893,000 |
| K9o | 893,000 | 37,261,000 | 2,942,000 |
The total is exact: 24 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 | 1.105 | 13.970 | 46.019 | 0.905 |
| K9o | 0.905 | 46.019 | 13.970 | 1.105 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
By flop texture, K9s' equity runs from 50.29% on monotone flops up to 53.28% on two-tone flops. K9s stays ahead on all five textures, and the gap between its best and worst is only 2.99 points, so the shape of the flop hardly changes who is favored.
| Flop | Share of flops | K9s wins | Ties | K9o wins | K9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 3.296 | 96.704 | 0.000 | 51.648 |
| Rainbow, nine or lower | 6.314 | 3.322 | 96.678 | 0.000 | 51.661 |
| Two-tone | 46.363 | 8.829 | 88.901 | 2.270 | 53.280 |
| Monotone | 5.152 | 18.515 | 63.540 | 17.945 | 50.285 |
| Paired | 17.576 | 6.201 | 92.681 | 1.118 | 52.541 |
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
Against one random hand instead, K9s holds 59.99% and K9o holds 57.81%. Facing each other changes that by -7.50 points for K9s and -10.30 points for K9o.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9s, all flops | 52.492 | 59.988 | -7.496 | 0.87504 |
| K9s, rainbow, ten or higher | 51.648 | 59.988 | -8.340 | 0.86097 |
| K9s, rainbow, nine or lower | 51.661 | 59.988 | -8.327 | 0.86119 |
| K9s, two-tone | 53.280 | 59.988 | -6.708 | 0.88818 |
| K9s, monotone | 50.285 | 59.988 | -9.703 | 0.83825 |
| K9s, paired | 52.541 | 59.988 | -7.447 | 0.87586 |
| K9o, all flops | 47.508 | 57.812 | -10.304 | 0.82177 |
| K9o, rainbow, ten or higher | 48.352 | 57.812 | -9.460 | 0.83637 |
| K9o, rainbow, nine or lower | 48.339 | 57.812 | -9.473 | 0.83614 |
| K9o, two-tone | 46.720 | 57.812 | -11.092 | 0.80814 |
| K9o, monotone | 49.715 | 57.812 | -8.097 | 0.85994 |
| K9o, paired | 47.459 | 57.812 | -10.353 | 0.82092 |
Does a shared suit matter?
The hands cannot hold a suit in common here, which leaves a single case and a single number: 52.49% for K9s.
| Deals | Specific deals | Share of deals | K9s wins | Ties | K9o wins | K9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 24 | 100.00 | 7.158 | 90.669 | 2.173 | 52.492 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
Take a $200 pot built from $100 each. K9s' equity of 52.49% is worth $104.98, a $4.98 edge, and K9o's 47.51% is worth $95.02, which is $4.98 under its stake.
Scaled to 1,000 deals, that is roughly 71 wins for K9s, 22 for K9o and 907 chopped pots.
The same matchup from the other side
Swap the hands and you get K9o with 47.51% against K9s with 52.49%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with Ks9s against Kh9d 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
Nothing here is simulated. The 24 deals of K9s against K9o fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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