KK
80.55%
Wins 80.36%, ties 0.40%
J9s
19.45%
Wins 19.24%, ties 0.40%
KK against J9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 80.355 | 0.396 | 19.249 | 80.553 |
| J9s | 19.249 | 0.396 | 80.355 | 19.447 |
The first hand is a pocket pair; the second is a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
KK is a big favorite here before anyone sees a flop. 0.40% of boards are ties, so the equity of each hand is its win rate plus half of that.
Place 2 of 169 belongs to KK and place 55 belongs to J9s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 33,022,000 | 163,000 | 7,910,000 |
| J9s | 7,910,000 | 163,000 | 33,022,000 |
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) |
|---|---|---|---|---|
| KK | 4.142 | 1.244 | 5.195 | 0.241 |
| J9s | 0.241 | 5.195 | 1.244 | 4.142 |
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
KK prefers low rainbow flops (nine high or lower), where it holds 85.15%, and likes monotone flops least, where it holds 74.84%. KK stays ahead on all five textures.
| Flop | Share of flops | KK wins | Ties | J9s wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 81.370 | 0.159 | 18.471 | 81.450 |
| Rainbow, nine or lower | 7.042 | 84.659 | 0.979 | 14.362 | 85.149 |
| Two-tone | 46.545 | 78.539 | 0.318 | 21.143 | 78.698 |
| Monotone | 5.212 | 73.639 | 2.406 | 23.955 | 74.842 |
| Paired | 17.334 | 84.105 | 0.092 | 15.803 | 84.151 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Start from the random-hand figures, 82.40% for KK and 55.66% for J9s. This opponent changes them by -1.85 and -36.21 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 80.553 | 82.396 | -1.843 | 0.97763 |
| KK, rainbow, ten or higher | 81.450 | 82.396 | -0.946 | 0.98852 |
| KK, rainbow, nine or lower | 85.149 | 82.396 | +2.753 | 1.03341 |
| KK, two-tone | 78.698 | 82.396 | -3.698 | 0.95512 |
| KK, monotone | 74.842 | 82.396 | -7.554 | 0.90832 |
| KK, paired | 84.151 | 82.396 | +1.755 | 1.02130 |
| J9s, all flops | 19.447 | 55.662 | -36.215 | 0.34938 |
| J9s, rainbow, ten or higher | 18.550 | 55.662 | -37.112 | 0.33326 |
| J9s, rainbow, nine or lower | 14.851 | 55.662 | -40.811 | 0.26681 |
| J9s, two-tone | 21.302 | 55.662 | -34.360 | 0.38270 |
| J9s, monotone | 25.158 | 55.662 | -30.504 | 0.45198 |
| J9s, paired | 15.849 | 55.662 | -39.813 | 0.28474 |
Does a shared suit matter?
Split by suits, the deals give KK 81.14% when the hands overlap in a suit and 79.97% when they do not. KK does better with a shared suit, by 1.17 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | J9s wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 80.919 | 0.437 | 18.644 | 81.137 |
| No shared suit | 12 | 50.00 | 79.791 | 0.356 | 19.853 | 79.969 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are KK against J9s, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KK gets $161.10 of it on average and J9s gets $38.90.
Out of 1,000 deals you should see around 804 outright wins for KK, 192 for J9s, and 4 split pots.
The same matchup from the other side
Read it from the other side: J9s against KK is the same matchup with the numbers swapped, so J9s holds 19.45% and KK holds 80.55%. That address sends you back to this page.
Keep exploring
KsKh against Jd9d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of KK against J9s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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