KK
71.00%
Wins 70.80%, ties 0.39%
ATo
29.00%
Wins 28.81%, ties 0.39%
KK against ATo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 70.803 | 0.394 | 28.803 | 71.000 |
| ATo | 28.803 | 0.394 | 70.803 | 29.000 |
KK, a pocket pair, plays ATo, an offsuit 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.
KK is well ahead, and ATo needs a specific kind of board to catch up. Of every 100 boards, about 0.39 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, KK is number 2 and ATo is number 19.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 87,290,000 | 486,000 | 35,510,000 |
| ATo | 35,510,000 | 486,000 | 87,290,000 |
The board total is exact, 72 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KK | 2.448 | 1.412 | 3.472 | 0.408 |
| ATo | 0.408 | 3.472 | 1.412 | 2.448 |
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
Break the boards down by their first three cards and KK is strongest on low rainbow flops (nine high or lower) (82.81%) and weakest on monotone flops (66.37%). 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 | ATo wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 66.578 | 0.179 | 33.243 | 66.667 |
| Rainbow, nine or lower | 7.771 | 82.283 | 1.061 | 16.656 | 82.814 |
| Two-tone | 46.485 | 70.038 | 0.383 | 29.579 | 70.230 |
| Monotone | 5.151 | 65.496 | 1.749 | 32.755 | 66.370 |
| Paired | 17.333 | 74.954 | 0.010 | 25.036 | 74.959 |
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
Each hand has a baseline against a random hand: 82.40% for KK, 62.72% for ATo. Here the change is -11.40 and -33.72 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 71.000 | 82.396 | -11.396 | 0.86169 |
| KK, rainbow, ten or higher | 66.667 | 82.396 | -15.729 | 0.80910 |
| KK, rainbow, nine or lower | 82.814 | 82.396 | +0.418 | 1.00507 |
| KK, two-tone | 70.230 | 82.396 | -12.166 | 0.85235 |
| KK, monotone | 66.370 | 82.396 | -16.026 | 0.80550 |
| KK, paired | 74.959 | 82.396 | -7.437 | 0.90974 |
| ATo, all flops | 29.000 | 62.722 | -33.722 | 0.46236 |
| ATo, rainbow, ten or higher | 33.333 | 62.722 | -29.389 | 0.53144 |
| ATo, rainbow, nine or lower | 17.186 | 62.722 | -45.536 | 0.27400 |
| ATo, two-tone | 29.770 | 62.722 | -32.952 | 0.47463 |
| ATo, monotone | 33.630 | 62.722 | -29.092 | 0.53618 |
| ATo, paired | 25.041 | 62.722 | -37.681 | 0.39924 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KK has 71.03%; looking only at deals where they do not, 70.83%. The two rows differ by only 0.20 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | KK wins | Ties | ATo wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 70.828 | 0.410 | 28.762 | 71.033 |
| No shared suit | 12 | 16.67 | 70.677 | 0.314 | 29.009 | 70.834 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 72 are KK in one seat and ATo in the other (0.0044%); with the seats swapped too, 144 (0.0089%).
A worked example
Put $100 each into a $200 pot and deal every board once: KK averages $142.00 back, ahead of its $100 by $42.00, while ATo averages $58.00, short of its $100 by $42.00.
Over a long run, 1,000 deals split into about 708 for KK, 288 for ATo and 4 tied.
The same matchup from the other side
ATo against KK adds nothing new: it is 29.00% for ATo and 71.00% for KK, the same figures reversed.
Keep exploring
KsKh against AdTc 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 72 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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