KK
67.39%
Wins 67.16%, ties 0.46%
A3s
32.61%
Wins 32.38%, ties 0.46%
KK against A3s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 67.159 | 0.459 | 32.382 | 67.389 |
| A3s | 32.382 | 0.459 | 67.159 | 32.611 |
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.
That is a clear edge, 67.39% to 32.61%, but A3s still wins often enough that one hand proves nothing. Split pots make up 0.46% of the boards, and both equity figures count them as half a win each.
Ranked by equity against a random hand, KK is number 2 of the 169 starting hands and A3s is number 38.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 27,599,000 | 189,000 | 13,307,000 |
| A3s | 13,307,000 | 189,000 | 27,599,000 |
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) |
|---|---|---|---|---|
| KK | 2.066 | 1.489 | 3.088 | 0.484 |
| A3s | 0.484 | 3.088 | 1.489 | 2.066 |
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, KK's equity runs from 62.99% on monotone flops up to 73.97% on low rainbow flops (nine high or lower). KK stays ahead on all five textures.
| Flop | Share of flops | KK wins | Ties | A3s wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 67.167 | 0.198 | 32.635 | 67.266 |
| Rainbow, nine or lower | 7.042 | 73.317 | 1.296 | 25.387 | 73.965 |
| Two-tone | 46.545 | 65.369 | 0.409 | 34.222 | 65.574 |
| Monotone | 5.212 | 61.760 | 2.465 | 35.775 | 62.992 |
| Paired | 17.334 | 71.074 | 0.010 | 28.916 | 71.079 |
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
How much does the opponent matter? Compared with its random-hand 82.40%, KK changes by -15.01 points, and A3s, from 58.22%, by -25.61.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 67.389 | 82.396 | -15.007 | 0.81787 |
| KK, rainbow, ten or higher | 67.266 | 82.396 | -15.130 | 0.81637 |
| KK, rainbow, nine or lower | 73.965 | 82.396 | -8.431 | 0.89768 |
| KK, two-tone | 65.574 | 82.396 | -16.822 | 0.79584 |
| KK, monotone | 62.992 | 82.396 | -19.404 | 0.76450 |
| KK, paired | 71.079 | 82.396 | -11.317 | 0.86265 |
| A3s, all flops | 32.611 | 58.220 | -25.609 | 0.56013 |
| A3s, rainbow, ten or higher | 32.734 | 58.220 | -25.486 | 0.56225 |
| A3s, rainbow, nine or lower | 26.035 | 58.220 | -32.185 | 0.44718 |
| A3s, two-tone | 34.426 | 58.220 | -23.794 | 0.59131 |
| A3s, monotone | 37.008 | 58.220 | -21.212 | 0.63566 |
| A3s, paired | 28.921 | 58.220 | -29.299 | 0.49675 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KK has 67.68%; looking only at deals where they do not, 67.10%. KK does better with a shared suit, by 0.58 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | A3s wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 67.428 | 0.500 | 32.072 | 67.678 |
| No shared suit | 12 | 50.00 | 66.890 | 0.418 | 32.692 | 67.099 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. KK averages $134.78 from the $200, up $34.78; A3s averages $65.22, down $34.78.
Over a long run, 1,000 deals split into about 672 for KK, 324 for A3s and 4 tied.
The same matchup from the other side
A3s against KK adds nothing new: it is 32.61% for A3s and 67.39% for KK, the same figures reversed.
Keep exploring
KsKh against Ad3d 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
We counted every case. Each suit pattern of the 24 specific KK against A3s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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