KK
67.71%
Wins 67.52%, ties 0.38%
A7s
32.29%
Wins 32.10%, ties 0.38%
KK against A7s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 67.517 | 0.383 | 32.100 | 67.708 |
| A7s | 32.100 | 0.383 | 67.517 | 32.292 |
We compare a pocket pair with a suited hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.
KK is well ahead, and A7s needs a specific kind of board to catch up. A split pot comes up on 0.38% of boards, so the wins and the equity differ by half of that.
Place 2 of 169 belongs to KK and place 24 belongs to A7s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 27,746,000 | 157,000 | 13,192,000 |
| A7s | 13,192,000 | 157,000 | 27,746,000 |
The total is exact: 24 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) |
|---|---|---|---|---|
| KK | 2.097 | 1.481 | 3.115 | 0.477 |
| A7s | 0.477 | 3.115 | 1.481 | 2.097 |
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
Low rainbow flops (nine high or lower) are the best for KK (75.10%); monotone flops are the worst (63.23%). KK stays ahead on all five textures.
| Flop | Share of flops | KK wins | Ties | A7s wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 67.243 | 0.178 | 32.579 | 67.332 |
| Rainbow, nine or lower | 7.042 | 74.643 | 0.910 | 24.447 | 75.098 |
| Two-tone | 46.545 | 65.708 | 0.321 | 33.971 | 65.868 |
| Monotone | 5.212 | 62.025 | 2.410 | 35.565 | 63.230 |
| Paired | 17.334 | 71.508 | 0.010 | 28.482 | 71.513 |
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
Relative to a random opponent, KK changes by -14.69 points (baseline 82.40%) and A7s by -28.69 points (baseline 60.98%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 67.708 | 82.396 | -14.688 | 0.82174 |
| KK, rainbow, ten or higher | 67.332 | 82.396 | -15.064 | 0.81718 |
| KK, rainbow, nine or lower | 75.098 | 82.396 | -7.298 | 0.91143 |
| KK, two-tone | 65.868 | 82.396 | -16.528 | 0.79941 |
| KK, monotone | 63.230 | 82.396 | -19.166 | 0.76739 |
| KK, paired | 71.513 | 82.396 | -10.883 | 0.86792 |
| A7s, all flops | 32.292 | 60.984 | -28.692 | 0.52952 |
| A7s, rainbow, ten or higher | 32.668 | 60.984 | -28.316 | 0.53568 |
| A7s, rainbow, nine or lower | 24.902 | 60.984 | -36.082 | 0.40834 |
| A7s, two-tone | 34.132 | 60.984 | -26.852 | 0.55969 |
| A7s, monotone | 36.770 | 60.984 | -24.214 | 0.60295 |
| A7s, paired | 28.487 | 60.984 | -32.497 | 0.46712 |
Does a shared suit matter?
Does suit overlap move the numbers? KK has 68.00% when the hands share a suit and 67.41% when they do not. KK does better with a shared suit, by 0.59 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | A7s wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 67.792 | 0.424 | 31.784 | 68.004 |
| No shared suit | 12 | 50.00 | 67.242 | 0.343 | 32.415 | 67.413 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are KK against A7s, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. KK averages $135.42 from the $200, up $35.42; A7s averages $64.58, down $35.42.
In 1,000 deals of exactly this matchup, expect about 675 won outright by KK, about 321 won outright by A7s and about 4 split.
The same matchup from the other side
Swap the hands and you get A7s with 32.29% against KK with 67.71%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
KsKh against Ad7d 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 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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