KK
66.66%
Wins 66.44%, ties 0.44%
A5s
33.34%
Wins 33.12%, ties 0.44%
KK against A5s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 66.443 | 0.437 | 33.120 | 66.662 |
| A5s | 33.120 | 0.437 | 66.443 | 33.338 |
One side is a pocket pair, the other is 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 the clear favorite, though A5s gets there on roughly one board in 3. Split pots make up 0.44% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, KK is number 2 and A5s is number 30 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 27,305,000 | 180,000 | 13,611,000 |
| A5s | 13,611,000 | 180,000 | 27,305,000 |
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 | 2.000 | 1.505 | 3.019 | 0.500 |
| A5s | 0.500 | 3.019 | 1.505 | 2.000 |
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
By flop texture, KK's equity runs from 62.45% on monotone flops up to 71.15% on low rainbow flops (nine high or lower). KK stays ahead on all five textures.
| Flop | Share of flops | KK wins | Ties | A5s wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 66.845 | 0.198 | 32.957 | 66.944 |
| Rainbow, nine or lower | 7.042 | 70.567 | 1.155 | 28.278 | 71.145 |
| Two-tone | 46.545 | 64.581 | 0.384 | 35.035 | 64.773 |
| Monotone | 5.212 | 61.222 | 2.453 | 36.325 | 62.448 |
| Paired | 17.334 | 70.786 | 0.010 | 29.204 | 70.791 |
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 -15.74 points, and A5s, from 59.92%, by -26.58.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 66.662 | 82.396 | -15.734 | 0.80904 |
| KK, rainbow, ten or higher | 66.944 | 82.396 | -15.452 | 0.81247 |
| KK, rainbow, nine or lower | 71.145 | 82.396 | -11.251 | 0.86345 |
| KK, two-tone | 64.773 | 82.396 | -17.623 | 0.78612 |
| KK, monotone | 62.448 | 82.396 | -19.948 | 0.75790 |
| KK, paired | 70.791 | 82.396 | -11.605 | 0.85916 |
| A5s, all flops | 33.338 | 59.923 | -26.585 | 0.55635 |
| A5s, rainbow, ten or higher | 33.056 | 59.923 | -26.867 | 0.55164 |
| A5s, rainbow, nine or lower | 28.855 | 59.923 | -31.068 | 0.48153 |
| A5s, two-tone | 35.227 | 59.923 | -24.696 | 0.58787 |
| A5s, monotone | 37.552 | 59.923 | -22.371 | 0.62667 |
| A5s, paired | 29.209 | 59.923 | -30.714 | 0.48744 |
Does a shared suit matter?
When the hands share a suit, KK holds 66.94%; when they do not, it holds 66.38%. KK does better with a shared suit, by 0.56 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | A5s wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 66.704 | 0.478 | 32.818 | 66.943 |
| No shared suit | 12 | 50.00 | 66.183 | 0.396 | 33.421 | 66.381 |
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 $133.32 from the $200, up $33.32; A5s averages $66.68, down $33.32.
Run 1,000 deals and the tally comes out near 665 for KK, 331 for A5s and 4 ties.
The same matchup from the other side
If you came looking for A5s against KK, the numbers are the same with the hands swapped: 33.34% and 66.66%.
Keep exploring
Try KsKh against Ad5d 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
This is an exact count with no sampling. For the 24 ways to deal one KK and one A5s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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