K9o
67.17%
Wins 65.57%, ties 3.20%
97s
32.83%
Wins 31.23%, ties 3.20%
K9o against 97s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9o | 65.574 | 3.199 | 31.227 | 67.173 |
| 97s | 31.227 | 3.199 | 65.574 | 32.827 |
K9o, an offsuit hand, plays 97s, a suited hand. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
K9o is well ahead, and 97s needs a specific kind of board to catch up. Ties are part of the picture: 3.20% of boards end in a split pot, and each side counts that as half a win.
By strength against a random hand, K9o holds place 40 of 169 and 97s holds place 94.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9o | 40,422,000 | 1,972,000 | 19,249,000 |
| 97s | 19,249,000 | 1,972,000 | 40,422,000 |
Exact total: 36 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| K9o | 2.046 | 1.525 | 3.202 | 0.489 |
| 97s | 0.489 | 3.202 | 1.525 | 2.046 |
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 72.09% on rainbow flops topped by a ten or better and 52.36% on low rainbow flops (nine high or lower). K9o 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 | K9o wins | Ties | 97s wins | K9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.293 | 70.733 | 2.706 | 26.561 | 72.086 |
| Rainbow, nine or lower | 5.654 | 50.523 | 3.683 | 45.794 | 52.364 |
| Two-tone | 46.527 | 63.853 | 2.721 | 33.426 | 65.214 |
| Monotone | 5.192 | 61.136 | 4.058 | 34.806 | 63.165 |
| Paired | 17.334 | 68.902 | 4.788 | 26.310 | 71.296 |
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, K9o holds 57.81% and 97s holds 49.12%. Facing each other changes that by +9.36 points for K9o and -16.29 points for 97s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9o, all flops | 67.173 | 57.812 | +9.361 | 1.16192 |
| K9o, rainbow, ten or higher | 72.086 | 57.812 | +14.274 | 1.24690 |
| K9o, rainbow, nine or lower | 52.364 | 57.812 | -5.448 | 0.90576 |
| K9o, two-tone | 65.214 | 57.812 | +7.402 | 1.12804 |
| K9o, monotone | 63.165 | 57.812 | +5.353 | 1.09259 |
| K9o, paired | 71.296 | 57.812 | +13.484 | 1.23324 |
| 97s, all flops | 32.827 | 49.118 | -16.291 | 0.66833 |
| 97s, rainbow, ten or higher | 27.914 | 49.118 | -21.204 | 0.56830 |
| 97s, rainbow, nine or lower | 47.636 | 49.118 | -1.482 | 0.96983 |
| 97s, two-tone | 34.786 | 49.118 | -14.332 | 0.70821 |
| 97s, monotone | 36.835 | 49.118 | -12.283 | 0.74993 |
| 97s, paired | 28.704 | 49.118 | -20.414 | 0.58439 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and K9o holds 68.22%. In 24 they do not, and it holds 66.65%. K9o does better with a shared suit, by 1.57 points.
| Deals | Specific deals | Share of deals | K9o wins | Ties | 97s wins | K9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 66.574 | 3.295 | 30.131 | 68.222 |
| No shared suit | 24 | 66.67 | 65.073 | 3.151 | 31.776 | 66.649 |
How often this matchup comes up
The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says K9o gets $134.34 of it on average and 97s gets $65.66.
Over a long run, 1,000 deals split into about 656 for K9o, 312 for 97s and 32 tied.
The same matchup from the other side
If you came looking for 97s against K9o, the numbers are the same with the hands swapped: 32.83% and 67.17%.
Keep exploring
Open the calculator with Ks9h against 9d7d 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 36 ways to deal one K9o and one 97s 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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