KK
67.43%
Wins 67.23%, ties 0.41%
ATs
32.57%
Wins 32.36%, ties 0.41%
KK against ATs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 67.225 | 0.411 | 32.364 | 67.431 |
| ATs | 32.364 | 0.411 | 67.225 | 32.569 |
Here a pocket pair (KK) meets a suited hand (ATs). 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.
A lead of 34.86 points is large but not decisive: ATs still takes about 324 of every 1,000 deals. A split pot comes up on 0.41% of boards, so the wins and the equity differ by half of that.
KK ranks number 2 of 169 starting hands, and ATs ranks number 13, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 27,626,000 | 169,000 | 13,300,000 |
| ATs | 13,300,000 | 169,000 | 27,626,000 |
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 | 2.070 | 1.488 | 3.090 | 0.483 |
| ATs | 0.483 | 3.090 | 1.488 | 2.070 |
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
Low rainbow flops (nine high or lower) are the best for KK (80.02%); monotone flops are the worst (62.86%). 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 | ATs wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 64.822 | 0.173 | 35.005 | 64.909 |
| Rainbow, nine or lower | 7.771 | 79.508 | 1.020 | 19.472 | 80.018 |
| Two-tone | 46.545 | 65.321 | 0.352 | 34.327 | 65.497 |
| Monotone | 5.212 | 61.643 | 2.425 | 35.932 | 62.855 |
| Paired | 17.334 | 71.717 | 0.010 | 28.273 | 71.722 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 82.40% for KK, 64.60% for ATs. Here the change is -14.97 and -32.03 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 67.431 | 82.396 | -14.965 | 0.81838 |
| KK, rainbow, ten or higher | 64.909 | 82.396 | -17.487 | 0.78777 |
| KK, rainbow, nine or lower | 80.018 | 82.396 | -2.378 | 0.97114 |
| KK, two-tone | 65.497 | 82.396 | -16.899 | 0.79491 |
| KK, monotone | 62.855 | 82.396 | -19.541 | 0.76284 |
| KK, paired | 71.722 | 82.396 | -10.674 | 0.87045 |
| ATs, all flops | 32.569 | 64.602 | -32.033 | 0.50415 |
| ATs, rainbow, ten or higher | 35.091 | 64.602 | -29.511 | 0.54319 |
| ATs, rainbow, nine or lower | 19.982 | 64.602 | -44.620 | 0.30931 |
| ATs, two-tone | 34.503 | 64.602 | -30.099 | 0.53409 |
| ATs, monotone | 37.145 | 64.602 | -27.457 | 0.57498 |
| ATs, paired | 28.278 | 64.602 | -36.324 | 0.43773 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and KK holds 67.70%. In 12 they do not, and it holds 67.16%. KK does better with a shared suit, by 0.54 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | ATs wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 67.471 | 0.452 | 32.077 | 67.697 |
| No shared suit | 12 | 50.00 | 66.978 | 0.371 | 32.651 | 67.164 |
How often this matchup comes up
The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. KK averages $134.86 from the $200, up $34.86; ATs averages $65.14, down $34.86.
Think in thousands: about 672 of 1,000 go to KK, about 324 go to ATs, and about 4 are chopped.
The same matchup from the other side
ATs against KK adds nothing new: it is 32.57% for ATs and 67.43% for KK, the same figures reversed.
Keep exploring
Try KsKh against AdTd 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
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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