JJ
68.34%
Wins 68.14%, ties 0.40%
K9s
31.66%
Wins 31.46%, ties 0.40%
JJ against K9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 68.135 | 0.399 | 31.466 | 68.335 |
| K9s | 31.466 | 0.399 | 68.135 | 31.665 |
One side is a pocket pair, the other is a suited hand. One of the other hand's cards outranks the pair and one is below it, which makes this a closer race than a pair against two small cards.
JJ is the clear favorite, though K9s gets there on roughly one board in 3. The tie share is 0.40%: on those boards the pot is chopped and neither hand wins outright.
By strength against a random hand, JJ holds place 4 of 169 and K9s holds place 29.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 28,000,000 | 164,000 | 12,931,000 |
| K9s | 12,931,000 | 164,000 | 28,000,000 |
Exact total: 24 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) |
|---|---|---|---|---|
| JJ | 2.158 | 1.468 | 3.178 | 0.463 |
| K9s | 0.463 | 3.178 | 1.468 | 2.158 |
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
Across the five flop textures JJ's equity moves by 15.78 points, from 63.58% on monotone flops to 79.36% on low rainbow flops (nine high or lower). JJ 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 | JJ wins | Ties | K9s wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 66.999 | 0.144 | 32.857 | 67.071 |
| Rainbow, nine or lower | 7.042 | 78.871 | 0.973 | 20.156 | 79.357 |
| Two-tone | 46.545 | 66.401 | 0.304 | 33.295 | 66.553 |
| Monotone | 5.212 | 62.379 | 2.392 | 35.229 | 63.575 |
| Paired | 17.334 | 71.725 | 0.172 | 28.103 | 71.811 |
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, JJ holds 77.47% and K9s holds 59.99%. Facing each other changes that by -9.13 points for JJ and -28.33 points for K9s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 68.335 | 77.469 | -9.134 | 0.88209 |
| JJ, rainbow, ten or higher | 67.071 | 77.469 | -10.398 | 0.86578 |
| JJ, rainbow, nine or lower | 79.357 | 77.469 | +1.888 | 1.02437 |
| JJ, two-tone | 66.553 | 77.469 | -10.916 | 0.85909 |
| JJ, monotone | 63.575 | 77.469 | -13.894 | 0.82065 |
| JJ, paired | 71.811 | 77.469 | -5.658 | 0.92696 |
| K9s, all flops | 31.665 | 59.988 | -28.323 | 0.52786 |
| K9s, rainbow, ten or higher | 32.929 | 59.988 | -27.059 | 0.54893 |
| K9s, rainbow, nine or lower | 20.643 | 59.988 | -39.345 | 0.34412 |
| K9s, two-tone | 33.447 | 59.988 | -26.541 | 0.55756 |
| K9s, monotone | 36.425 | 59.988 | -23.563 | 0.60720 |
| K9s, paired | 28.189 | 59.988 | -31.799 | 0.46991 |
Does a shared suit matter?
Does suit overlap move the numbers? JJ has 68.60% when the hands share a suit and 68.07% when they do not. JJ does better with a shared suit, by 0.53 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | K9s wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 68.384 | 0.440 | 31.176 | 68.604 |
| No shared suit | 12 | 50.00 | 67.887 | 0.358 | 31.755 | 68.066 |
How often this matchup comes up
The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says JJ gets $136.68 of it on average and K9s gets $63.32.
In 1,000 deals of exactly this matchup, expect about 681 won outright by JJ, about 315 won outright by K9s and about 4 split.
The same matchup from the other side
If you came looking for K9s against JJ, the numbers are the same with the hands swapped: 31.66% and 68.34%.
Keep exploring
Open the calculator with JsJh against Kd9d 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 JJ against K9s 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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