KK
87.10%
Wins 86.47%, ties 1.26%
K9s
12.90%
Wins 12.27%, ties 1.26%
KK against K9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 86.474 | 1.258 | 12.268 | 87.103 |
| K9s | 12.268 | 1.258 | 86.474 | 12.897 |
The first hand is a pocket pair; the second is a suited hand. The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.
KK is a big favorite here before anyone sees a flop. 1.26% of boards are ties, so the equity of each hand is its win rate plus half of that.
Ranked by equity against a random hand, KK is number 2 of the 169 starting hands and K9s is number 29.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 17,768,000 | 258,000 | 2,521,000 |
| K9s | 2,521,000 | 258,000 | 17,768,000 |
12 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) |
|---|---|---|---|---|
| KK | 6.754 | 1.156 | 8.151 | 0.148 |
| K9s | 0.148 | 8.151 | 1.156 | 6.754 |
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
If you know the kind of flop that came, the numbers shift: KK holds 90.88% on low rainbow flops (nine high or lower) and 77.13% on monotone flops. KK stays ahead on all five textures.
| Flop | Share of flops | KK wins | Ties | K9s wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.740 | 89.694 | 1.549 | 8.757 | 90.468 |
| Rainbow, nine or lower | 7.042 | 90.342 | 1.077 | 8.581 | 90.881 |
| Two-tone | 46.236 | 84.965 | 1.305 | 13.730 | 85.618 |
| Monotone | 5.151 | 75.963 | 2.330 | 21.707 | 77.128 |
| Paired | 17.831 | 87.610 | 0.511 | 11.879 | 87.865 |
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
Against one random hand instead, KK holds 82.40% and K9s holds 59.99%. Facing each other changes that by +4.70 points for KK and -47.09 points for K9s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 87.103 | 82.396 | +4.707 | 1.05713 |
| KK, rainbow, ten or higher | 90.468 | 82.396 | +8.072 | 1.09797 |
| KK, rainbow, nine or lower | 90.881 | 82.396 | +8.485 | 1.10298 |
| KK, two-tone | 85.618 | 82.396 | +3.222 | 1.03910 |
| KK, monotone | 77.128 | 82.396 | -5.268 | 0.93606 |
| KK, paired | 87.865 | 82.396 | +5.469 | 1.06637 |
| K9s, all flops | 12.897 | 59.988 | -47.091 | 0.21499 |
| K9s, rainbow, ten or higher | 9.532 | 59.988 | -50.456 | 0.15890 |
| K9s, rainbow, nine or lower | 9.119 | 59.988 | -50.869 | 0.15201 |
| K9s, two-tone | 14.382 | 59.988 | -45.606 | 0.23975 |
| K9s, monotone | 22.872 | 59.988 | -37.116 | 0.38128 |
| K9s, paired | 12.135 | 59.988 | -47.853 | 0.20229 |
Does a shared suit matter?
Suits do not split this matchup, because no legal deal has the hands holding the same suit.
| Deals | Specific deals | Share of deals | KK wins | Ties | K9s wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 86.474 | 1.258 | 12.268 | 87.103 |
How often this matchup comes up
The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. KK averages $174.20 from the $200, up $74.20; K9s averages $25.80, down $74.20.
A thousand deals look like this: KK takes 865, K9s takes 123, 12 are ties.
The same matchup from the other side
One page covers both views. From K9s' side the equity is 12.90%, and from KK's side it is 87.10%.
Keep exploring
Try KsKh against Kd9d 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
This is an exact count with no sampling. For the 12 ways to deal one KK and one K9s 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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