AKs vs KQo: preflop equity

Averaged over every possible board, AKs is ahead of KQo by 51.18 points of equity, 75.59% to 24.41%.

AKs

75.59%

Wins 75.02%, ties 1.15%

KQo

24.41%

Wins 23.83%, ties 1.15%

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

AKs against KQo: the numbers

Exact preflop results for AKs against KQo, in percent
HandWinsTiesLosesEquity
AKs75.0151.15323.83275.591
KQo23.8321.15375.01524.409

We compare a suited hand with an offsuit hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.

That is a clear edge, 75.59% to 24.41%, but KQo still wins often enough that one hand proves nothing. Ties are part of the picture: 1.15% of boards end in a split pot, and each side counts that as half a win.

In the ranking of all 169 starting hands, AKs is number 8 and KQo is number 23.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKs46,241,000711,00014,691,000
KQo14,691,000711,00046,241,000

36 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

AKs against KQo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKs3.0971.3334.1960.323
KQo0.3234.1961.3333.097

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

If you know the kind of flop that came, the numbers shift: AKs holds 87.19% on low rainbow flops (nine high or lower) and 67.54% on monotone flops. AKs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

AKs against KQo by flop texture, in percent
FlopShare of flopsAKs winsTiesKQo winsAKs equity
Rainbow, ten or higher23.17770.9880.76928.24371.373
Rainbow, nine or lower7.77186.5421.29712.16187.190
Two-tone46.52775.0260.83824.13675.445
Monotone5.19266.2542.58031.16667.544
Paired17.33377.8272.01820.15578.836

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

Start from the random-hand figures, 67.05% for AKs and 61.46% for KQo. This opponent changes them by +8.54 and -37.05 points.

AKs and KQo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKs, all flops75.59167.045+8.5461.12747
AKs, rainbow, ten or higher71.37367.045+4.3281.06455
AKs, rainbow, nine or lower87.19067.045+20.1451.30047
AKs, two-tone75.44567.045+8.4001.12529
AKs, monotone67.54467.045+0.4991.00744
AKs, paired78.83667.045+11.7911.17587
KQo, all flops24.40961.456-37.0470.39718
KQo, rainbow, ten or higher28.62761.456-32.8290.46581
KQo, rainbow, nine or lower12.81061.456-48.6460.20844
KQo, two-tone24.55561.456-36.9010.39955
KQo, monotone32.45661.456-29.0000.52812
KQo, paired21.16461.456-40.2920.34438

Does a shared suit matter?

Split by suits, the deals give AKs 75.35% when the hands overlap in a suit and 75.71% when they do not. AKs does better with no shared suit, by 0.36 points.

AKs against KQo by suit overlap, in percent
DealsSpecific dealsShare of dealsAKs winsTiesKQo winsAKs equity
Share a suit1233.3374.7441.21724.03975.353
No shared suit2466.6775.1501.12123.72975.711

How often this matchup comes up

You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. AKs averages $151.18 from the $200, up $51.18; KQo averages $48.82, down $51.18.

Out of 1,000 deals you should see around 750 outright wins for AKs, 238 for KQo, and 12 split pots.

The same matchup from the other side

Swap the hands and you get KQo with 24.41% against AKs with 75.59%. We keep one page per matchup, with the better-ranked hand first.

Try AsKs against KhQd 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

We counted every case. Each suit pattern of the 36 specific AKs against KQo deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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