KK
67.75%
Wins 67.52%, ties 0.47%
A2s
32.25%
Wins 32.01%, ties 0.47%
KK against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 67.517 | 0.470 | 32.013 | 67.752 |
| A2s | 32.013 | 0.470 | 67.517 | 32.248 |
KK is a pocket pair and A2s 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.
KK is well ahead, and A2s needs a specific kind of board to catch up. 0.47% of boards are ties, so the equity of each hand is its win rate plus half of that.
In the ranking of all 169 starting hands, KK is number 2 and A2s is number 46.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 27,746,000 | 193,000 | 13,156,000 |
| A2s | 13,156,000 | 193,000 | 27,746,000 |
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 | 2.101 | 1.481 | 3.124 | 0.476 |
| A2s | 0.476 | 3.124 | 1.481 | 2.101 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
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) (75.28%) and weakest on monotone flops (63.27%). KK stays ahead on all five textures.
| Flop | Share of flops | KK wins | Ties | A2s wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 67.355 | 0.198 | 32.447 | 67.454 |
| Rainbow, nine or lower | 7.042 | 74.601 | 1.367 | 24.032 | 75.284 |
| Two-tone | 46.545 | 65.764 | 0.421 | 33.815 | 65.974 |
| Monotone | 5.212 | 62.029 | 2.471 | 35.500 | 63.265 |
| Paired | 17.334 | 71.219 | 0.010 | 28.771 | 71.224 |
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 -14.65 points, and A2s, from 57.38%, by -25.13.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 67.752 | 82.396 | -14.644 | 0.82227 |
| KK, rainbow, ten or higher | 67.454 | 82.396 | -14.942 | 0.81866 |
| KK, rainbow, nine or lower | 75.284 | 82.396 | -7.112 | 0.91369 |
| KK, two-tone | 65.974 | 82.396 | -16.422 | 0.80069 |
| KK, monotone | 63.265 | 82.396 | -19.131 | 0.76782 |
| KK, paired | 71.224 | 82.396 | -11.172 | 0.86441 |
| A2s, all flops | 32.248 | 57.379 | -25.131 | 0.56202 |
| A2s, rainbow, ten or higher | 32.546 | 57.379 | -24.833 | 0.56721 |
| A2s, rainbow, nine or lower | 24.716 | 57.379 | -32.663 | 0.43075 |
| A2s, two-tone | 34.026 | 57.379 | -23.353 | 0.59300 |
| A2s, monotone | 36.735 | 57.379 | -20.644 | 0.64022 |
| A2s, paired | 28.776 | 57.379 | -28.603 | 0.50151 |
Does a shared suit matter?
Split by suits, the deals give KK 68.05% when the hands overlap in a suit and 67.46% when they do not. KK does better with a shared suit, by 0.59 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | A2s wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 67.790 | 0.511 | 31.699 | 68.045 |
| No shared suit | 12 | 50.00 | 67.244 | 0.429 | 32.327 | 67.458 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are KK against A2s, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
With $100 from each side, the $200 pot is split on average as $135.50 for KK and $64.50 for A2s; the first side gains $35.50 per all-in and the second gives up $35.50.
A thousand deals look like this: KK takes 675, A2s takes 320, 5 are ties.
The same matchup from the other side
A2s versus KK is this same page seen from the other hand: 32.25% for A2s, 67.75% for KK.
Keep exploring
The calculator link fills in KsKh against Ad2d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 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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