KK
67.79%
Wins 67.58%, ties 0.42%
AJs
32.21%
Wins 32.00%, ties 0.42%
KK against AJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 67.581 | 0.423 | 31.996 | 67.793 |
| AJs | 31.996 | 0.423 | 67.581 | 32.207 |
One side is a pocket pair, the other is a suited hand. The pair is ahead of one card and behind the other, so the board decides how that plays out.
KK is well ahead, and AJs needs a specific kind of board to catch up. About 0.42% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
The hand ranking puts KK at 2 and AJs at 11 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 27,773,000 | 174,000 | 13,149,000 |
| AJs | 13,149,000 | 174,000 | 27,773,000 |
24 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 | 2.105 | 1.480 | 3.125 | 0.475 |
| AJs | 0.475 | 3.125 | 1.480 | 2.105 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Across the five flop textures KK's equity moves by 18.35 points, from 63.13% on monotone flops to 81.48% on low rainbow flops (nine high or lower). KK 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 | KK wins | Ties | AJs wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 64.947 | 0.132 | 34.921 | 65.013 |
| Rainbow, nine or lower | 7.771 | 80.877 | 1.209 | 17.914 | 81.482 |
| Two-tone | 46.545 | 65.715 | 0.365 | 33.920 | 65.897 |
| Monotone | 5.212 | 61.912 | 2.431 | 35.657 | 63.127 |
| Paired | 17.334 | 71.853 | 0.010 | 28.137 | 71.858 |
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
A random hand would give KK 82.40% and AJs 65.39%. Against each other the change is -14.61 points for KK and -33.18 for AJs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 67.793 | 82.396 | -14.603 | 0.82277 |
| KK, rainbow, ten or higher | 65.013 | 82.396 | -17.383 | 0.78903 |
| KK, rainbow, nine or lower | 81.482 | 82.396 | -0.914 | 0.98891 |
| KK, two-tone | 65.897 | 82.396 | -16.499 | 0.79976 |
| KK, monotone | 63.127 | 82.396 | -19.269 | 0.76614 |
| KK, paired | 71.858 | 82.396 | -10.538 | 0.87211 |
| AJs, all flops | 32.207 | 65.393 | -33.186 | 0.49251 |
| AJs, rainbow, ten or higher | 34.987 | 65.393 | -30.406 | 0.53503 |
| AJs, rainbow, nine or lower | 18.518 | 65.393 | -46.875 | 0.28318 |
| AJs, two-tone | 34.103 | 65.393 | -31.290 | 0.52151 |
| AJs, monotone | 36.873 | 65.393 | -28.520 | 0.56387 |
| AJs, paired | 28.142 | 65.393 | -37.251 | 0.43035 |
Does a shared suit matter?
When the hands share a suit, KK holds 68.06%; when they do not, it holds 67.52%. KK does better with a shared suit, by 0.54 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | AJs wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 67.832 | 0.463 | 31.705 | 68.064 |
| No shared suit | 12 | 50.00 | 67.331 | 0.382 | 32.287 | 67.522 |
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
With $100 from each side, the $200 pot is split on average as $135.58 for KK and $64.42 for AJs; the first side gains $35.58 per all-in and the second gives up $35.58.
Per 1,000 deals: KK wins about 676, AJs wins about 320, and about 4 end in a split pot.
The same matchup from the other side
If you came looking for AJs against KK, the numbers are the same with the hands swapped: 32.21% and 67.79%.
Keep exploring
Try KsKh against AdJd 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
Nothing here is simulated. The 24 deals of KK against AJs 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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