AA
81.95%
Wins 81.72%, ties 0.46%
KK
18.05%
Wins 17.82%, ties 0.46%
AA against KK: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 81.715 | 0.463 | 17.822 | 81.946 |
| KK | 17.822 | 0.463 | 81.715 | 18.054 |
This is a contest between two pocket pairs, AA and KK. Two pairs against each other is a one-way street: the lower pair needs one of its two remaining cards.
This is one of the lopsided matchups: KK wins only 17.82% of the boards outright. Ties are 0.46% of the outcomes here; each tied board gives both hands half the pot.
By strength against a random hand, AA holds place 1 of 169 and KK holds place 2.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 50,372,000 | 285,000 | 10,986,000 |
| KK | 10,986,000 | 285,000 | 50,372,000 |
The total is exact: 36 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) |
|---|---|---|---|---|
| AA | 4.539 | 1.224 | 5.611 | 0.220 |
| KK | 0.220 | 5.611 | 1.224 | 4.539 |
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
By flop texture, AA's equity runs from 76.21% on monotone flops up to 91.00% on low rainbow flops (nine high or lower). AA stays ahead on all five textures.
| Flop | Share of flops | AA wins | Ties | KK wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 78.406 | 0.199 | 21.395 | 78.505 |
| Rainbow, nine or lower | 7.771 | 90.318 | 1.356 | 8.326 | 90.996 |
| Two-tone | 46.363 | 80.795 | 0.468 | 18.737 | 81.029 |
| Monotone | 5.152 | 75.307 | 1.809 | 22.884 | 76.212 |
| Paired | 17.576 | 86.570 | 0.007 | 13.423 | 86.574 |
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
Compared with a random opponent, this matchup shifts AA from 85.20% by -3.25 points and KK from 82.40% by -64.35 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 81.946 | 85.204 | -3.258 | 0.96176 |
| AA, rainbow, ten or higher | 78.505 | 85.204 | -6.699 | 0.92138 |
| AA, rainbow, nine or lower | 90.996 | 85.204 | +5.792 | 1.06798 |
| AA, two-tone | 81.029 | 85.204 | -4.175 | 0.95100 |
| AA, monotone | 76.212 | 85.204 | -8.992 | 0.89447 |
| AA, paired | 86.574 | 85.204 | +1.370 | 1.01608 |
| KK, all flops | 18.054 | 82.396 | -64.342 | 0.21911 |
| KK, rainbow, ten or higher | 21.495 | 82.396 | -60.901 | 0.26087 |
| KK, rainbow, nine or lower | 9.004 | 82.396 | -73.392 | 0.10928 |
| KK, two-tone | 18.971 | 82.396 | -63.425 | 0.23024 |
| KK, monotone | 23.788 | 82.396 | -58.608 | 0.28870 |
| KK, paired | 13.426 | 82.396 | -68.970 | 0.16294 |
Does a shared suit matter?
When the hands share a suit, AA holds 82.08%; when they do not, it holds 81.26%. AA does better with a shared suit, by 0.82 points.
| Deals | Specific deals | Share of deals | AA wins | Ties | KK wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 81.845 | 0.479 | 17.676 | 82.084 |
| No shared suit | 6 | 16.67 | 81.064 | 0.382 | 18.554 | 81.255 |
How often this matchup comes up
Exactly 36 specific deals fit this matchup in one seat order, which is 0.0022% of 1,624,350; both orders together give 72, or 0.0044%.
A worked example
Take a $200 pot built from $100 each. AA's equity of 81.95% is worth $163.90, a $63.90 edge, and KK's 18.05% is worth $36.10, which is $63.90 under its stake.
Per 1,000 deals: AA wins about 817, KK wins about 178, and about 5 end in a split pot.
The same matchup from the other side
If you came looking for KK against AA, the numbers are the same with the hands swapped: 18.05% and 81.95%.
Keep exploring
Try AsAh against KdKc 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 36 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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