KK vs AQs: preflop equity

Averaged over every possible board, KK is ahead of AQs by 36.30 points of equity, 68.15% to 31.85%.

KK

68.15%

Wins 67.94%, ties 0.43%

AQs

31.85%

Wins 31.63%, ties 0.43%

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

KK against AQs: the numbers

Exact preflop results for KK against AQs, in percent
HandWinsTiesLosesEquity
KK67.9380.43331.62968.154
AQs31.6290.43367.93831.846

KK is a pocket pair and AQs is a suited hand. One of the other hand's cards outranks the pair and one is below it, which makes this a closer race than a pair against two small cards.

That is a clear edge, 68.15% to 31.85%, but AQs still wins often enough that one hand proves nothing. The tie share is 0.43%: on those boards the pot is chopped and neither hand wins outright.

KK ranks number 2 of 169 starting hands, and AQs ranks number 10, by equity against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KK27,919,000178,00012,998,000
AQs12,998,000178,00027,919,000

The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

KK against AQs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KK2.1401.4723.1620.467
AQs0.4673.1621.4722.140

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 (82.07%); monotone flops are the worst (63.40%). 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 AQs by flop texture, in percent
FlopShare of flopsKK winsTiesAQs winsKK equity
Rainbow, ten or higher23.13865.3480.12334.52965.409
Rainbow, nine or lower7.77181.4261.29717.27782.074
Two-tone46.54566.1090.37733.51466.298
Monotone5.21262.1812.43735.38263.399
Paired17.33471.9890.01028.00171.994

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

Start from the random-hand figures, 82.40% for KK and 66.21% for AQs. This opponent changes them by -14.25 and -34.36 points.

KK and AQs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KK, all flops68.15482.396-14.2420.82715
KK, rainbow, ten or higher65.40982.396-16.9870.79384
KK, rainbow, nine or lower82.07482.396-0.3220.99609
KK, two-tone66.29882.396-16.0980.80463
KK, monotone63.39982.396-18.9970.76944
KK, paired71.99482.396-10.4020.87376
AQs, all flops31.84666.209-34.3630.48099
AQs, rainbow, ten or higher34.59166.209-31.6180.52245
AQs, rainbow, nine or lower17.92666.209-48.2830.27075
AQs, two-tone33.70266.209-32.5070.50902
AQs, monotone36.60166.209-29.6080.55281
AQs, paired28.00666.209-38.2030.42299

Does a shared suit matter?

Does suit overlap move the numbers? KK has 68.43% when the hands share a suit and 67.88% when they do not. KK does better with a shared suit, by 0.55 points.

KK against AQs by suit overlap, in percent
DealsSpecific dealsShare of dealsKK winsTiesAQs winsKK equity
Share a suit1250.0068.1930.47431.33368.430
No shared suit1250.0067.6830.39331.92467.879

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 24 are KK in one seat and AQs in the other (0.0015%); with the seats swapped too, 48 (0.0030%).

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says KK gets $136.30 of it on average and AQs gets $63.70.

Out of 1,000 deals you should see around 680 outright wins for KK, 316 for AQs, and 4 split pots.

The same matchup from the other side

Read it from the other side: AQs against KK is the same matchup with the numbers swapped, so AQs holds 31.85% and KK holds 68.15%. That address sends you back to this page.

Open the calculator with KsKh against AdQd already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

Nothing here is simulated. The 24 deals of KK against AQs 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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