KK vs AKs: preflop equity

Before any board card is dealt, KK holds 65.89% equity against AKs, which leaves AKs with 34.11%.

KK

65.89%

Wins 65.48%, ties 0.83%

AKs

34.11%

Wins 33.69%, ties 0.83%

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

KK against AKs: the numbers

Exact preflop results for KK against AKs, in percent
HandWinsTiesLosesEquity
KK65.4810.82533.69465.894
AKs33.6940.82565.48134.106

One side is a pocket pair, the other is a suited hand. The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.

That is a clear edge, 65.89% to 34.11%, but AKs still wins often enough that one hand proves nothing. The tie share is 0.83%: on those boards the pot is chopped and neither hand wins outright.

In the ranking of all 169 starting hands, KK is number 2 and AKs is number 8.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KK13,455,000170,0006,923,000
AKs6,923,000170,00013,455,000

Exact total: 12 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.

KK against AKs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KK1.9321.5272.9680.518
AKs0.5182.9681.5271.932

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

If you know the kind of flop that came, the numbers shift: KK holds 81.81% on low rainbow flops (nine high or lower) and 61.33% on monotone flops. KK stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KK against AKs by flop texture, in percent
FlopShare of flopsKK winsTiesAKs winsKK equity
Rainbow, ten or higher23.01161.2920.83837.87061.711
Rainbow, nine or lower7.77181.1501.32417.52681.812
Two-tone46.23662.9530.87336.17463.390
Monotone5.15160.3062.05437.64061.333
Paired17.83172.1100.10927.78172.164

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

Relative to a random opponent, KK changes by -16.51 points (baseline 82.40%) and AKs by -32.94 points (baseline 67.05%).

KK and AKs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KK, all flops65.89482.396-16.5020.79972
KK, rainbow, ten or higher61.71182.396-20.6850.74896
KK, rainbow, nine or lower81.81282.396-0.5840.99291
KK, two-tone63.39082.396-19.0060.76933
KK, monotone61.33382.396-21.0630.74437
KK, paired72.16482.396-10.2320.87582
AKs, all flops34.10667.045-32.9390.50870
AKs, rainbow, ten or higher38.28967.045-28.7560.57109
AKs, rainbow, nine or lower18.18867.045-48.8570.27128
AKs, two-tone36.61067.045-30.4350.54605
AKs, monotone38.66767.045-28.3780.57673
AKs, paired27.83667.045-39.2090.41518

Does a shared suit matter?

Every legal deal of KK against AKs leaves the hands with no suit in common, so the suit split does not apply here.

KK against AKs by suit overlap, in percent
DealsSpecific dealsShare of dealsKK winsTiesAKs winsKK equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0065.4810.82533.69465.894

How often this matchup comes up

You will meet this exact matchup 0.0015% of the time in a random heads-up deal: 24 of 1,624,350, counting either seat order.

A worked example

Take a $200 pot built from $100 each. KK's equity of 65.89% is worth $131.78, a $31.78 edge, and AKs' 34.11% is worth $68.22, which is $31.78 under its stake.

Over a long run, 1,000 deals split into about 655 for KK, 337 for AKs and 8 tied.

The same matchup from the other side

AKs against KK adds nothing new: it is 34.11% for AKs and 65.89% for KK, the same figures reversed.

KsKh against AdKd 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

This is an exact count with no sampling. For the 12 ways to deal one KK and one AKs 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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