AKs vs K9s: preflop equity

Before any board card is dealt, AKs holds 72.73% equity against K9s, which leaves K9s with 27.27%.

AKs

72.73%

Wins 72.12%, ties 1.21%

K9s

27.27%

Wins 26.67%, ties 1.21%

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

AKs against K9s: the numbers

Exact preflop results for AKs against K9s, in percent
HandWinsTiesLosesEquity
AKs72.1221.20726.67172.726
K9s26.6711.20772.12227.274

Here suited hands face each other, AKs on one side and K9s on the other. 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, 72.73% to 27.27%, but K9s still wins often enough that one hand proves nothing. Split pots make up 1.21% of the boards, and both equity figures count them as half a win each.

Ranked by equity against a random hand, AKs is number 8 of the 169 starting hands and K9s is number 29.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKs14,819,000248,0005,480,000
K9s5,480,000248,00014,819,000

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.

AKs against K9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKs2.6661.3873.7490.375
K9s0.3753.7491.3872.666

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

Split by what the flop looks like, AKs peaks at 78.29% on rainbow flops topped by a ten or better and bottoms out at 61.22% on low rainbow flops (nine high or lower). 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 K9s by flop texture, in percent
FlopShare of flopsAKs winsTiesK9s winsAKs equity
Rainbow, ten or higher23.86777.8360.90721.25778.290
Rainbow, nine or lower7.04260.7180.99638.28661.216
Two-tone46.54370.9090.81628.27571.317
Monotone5.21563.4063.50633.08865.159
Paired17.33374.7682.06323.16975.800

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

The table below sets each hand against its own random-hand baseline: a change of +5.68 points for AKs, from 67.05%, and -32.72 for K9s, from 59.99%.

AKs and K9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKs, all flops72.72667.045+5.6811.08473
AKs, rainbow, ten or higher78.29067.045+11.2451.16772
AKs, rainbow, nine or lower61.21667.045-5.8290.91306
AKs, two-tone71.31767.045+4.2721.06372
AKs, monotone65.15967.045-1.8860.97187
AKs, paired75.80067.045+8.7551.13058
K9s, all flops27.27459.988-32.7140.45466
K9s, rainbow, ten or higher21.71059.988-38.2780.36191
K9s, rainbow, nine or lower38.78459.988-21.2040.64653
K9s, two-tone28.68359.988-31.3050.47815
K9s, monotone34.84159.988-25.1470.58080
K9s, paired24.20059.988-35.7880.40341

Does a shared suit matter?

A shared suit is impossible for this matchup, so AKs' 72.73% is the answer for every suit pattern.

AKs against K9s by suit overlap, in percent
DealsSpecific dealsShare of dealsAKs winsTiesK9s winsAKs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0072.1221.20726.67172.726

How often this matchup comes up

This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).

A worked example

Put $100 each into a $200 pot and deal every board once: AKs averages $145.46 back, ahead of its $100 by $45.46, while K9s averages $54.54, short of its $100 by $45.46.

Out of 1,000 deals you should see around 721 outright wins for AKs, 267 for K9s, and 12 split pots.

The same matchup from the other side

The mirror image, K9s against AKs, is 27.27% to 72.73%, and its address redirects to this page.

Try AsKs against Kh9h 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 12 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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