KK vs A6s: preflop equity

The exact count puts KK at 68.07% and A6s at 31.93% when the two hands see all five board cards.

KK

68.07%

Wins 67.88%, ties 0.39%

A6s

31.93%

Wins 31.73%, ties 0.39%

Equity counts a tie as half a win. Exact over every board.

KK against A6s: the numbers

Exact preflop results for KK against A6s, in percent
HandWinsTiesLosesEquity
KK67.8750.39431.73168.072
A6s31.7310.39467.87531.928

The matchup pits a pocket pair against a suited hand. The pair is ahead of one card and behind the other, so the board decides how that plays out.

A lead of 36.14 points is large but not decisive: A6s still takes about 317 of every 1,000 deals. The tie share is 0.39%: on those boards the pot is chopped and neither hand wins outright.

For context, KK sits at number 2 of 169 starting hands and A6s at number 31 when each is run against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KK27,893,000162,00013,040,000
A6s13,040,000162,00027,893,000

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.

KK against A6s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KK2.1321.4733.1510.469
A6s0.4693.1511.4732.132

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 (75.31%); monotone flops are the worst (63.50%). KK stays ahead on all five textures.

KK against A6s by flop texture, in percent
FlopShare of flopsKK winsTiesA6s winsKK equity
Rainbow, ten or higher23.86767.7670.15632.07767.845
Rainbow, nine or lower7.04274.7871.05524.15875.314
Two-tone46.54566.1020.33333.56566.269
Monotone5.21262.2942.41635.29063.502
Paired17.33471.6520.01028.33871.657

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

Against one random hand instead, KK holds 82.40% and A6s holds 59.91%. Facing each other changes that by -14.33 points for KK and -27.98 points for A6s.

KK and A6s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KK, all flops68.07282.396-14.3240.82616
KK, rainbow, ten or higher67.84582.396-14.5510.82340
KK, rainbow, nine or lower75.31482.396-7.0820.91405
KK, two-tone66.26982.396-16.1270.80427
KK, monotone63.50282.396-18.8940.77069
KK, paired71.65782.396-10.7390.86967
A6s, all flops31.92859.906-27.9780.53297
A6s, rainbow, ten or higher32.15559.906-27.7510.53676
A6s, rainbow, nine or lower24.68659.906-35.2200.41208
A6s, two-tone33.73159.906-26.1750.56307
A6s, monotone36.49859.906-23.4080.60925
A6s, paired28.34359.906-31.5630.47312

Does a shared suit matter?

Split by suits, the deals give KK 68.37% when the hands overlap in a suit and 67.77% when they do not. KK does better with a shared suit, by 0.60 points.

KK against A6s by suit overlap, in percent
DealsSpecific dealsShare of dealsKK winsTiesA6s winsKK equity
Share a suit1250.0068.1540.43531.41168.371
No shared suit1250.0067.5960.35332.05167.772

How often this matchup comes up

KK against A6s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average KK takes back $136.14 of it, which is $36.14 more than it put in, and A6s takes back $63.86, $36.14 less than it put in.

Run 1,000 deals and the tally comes out near 679 for KK, 317 for A6s and 4 ties.

The same matchup from the other side

Swap the hands and you get A6s with 31.93% against KK with 68.07%. We keep one page per matchup, with the better-ranked hand first.

Try KsKh against Ad6d 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

Nothing here is simulated. The 24 deals of KK against A6s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.

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