AKs vs KJs: preflop equity

Averaged over every possible board, AKs is ahead of KJs by 42.32 points of equity, 71.16% to 28.84%.

AKs

71.16%

Wins 70.59%, ties 1.15%

KJs

28.84%

Wins 28.26%, ties 1.15%

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

AKs against KJs: the numbers

Exact preflop results for AKs against KJs, in percent
HandWinsTiesLosesEquity
AKs70.5861.15128.26371.162
KJs28.2631.15170.58628.838

Here suited hands face each other, AKs on one side and KJs on the other. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

That is a clear edge, 71.16% to 28.84%, but KJs still wins often enough that one hand proves nothing. Of every 100 boards, about 1.15 are split pots, and the equity figures already include them.

In the ranking of all 169 starting hands, AKs is number 8 and KJs is number 20.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKs14,504,000237,0005,807,000
KJs5,807,000237,00014,504,000

The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

AKs against KJs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKs2.4681.4173.5380.405
KJs0.4053.5381.4172.468

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

Break the boards down by their first three cards and AKs is strongest on low rainbow flops (nine high or lower) (83.50%) and weakest on monotone flops (64.04%). 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 KJs by flop texture, in percent
FlopShare of flopsAKs winsTiesKJs winsAKs equity
Rainbow, ten or higher23.13868.5370.76130.70268.918
Rainbow, nine or lower7.77182.9281.14815.92483.502
Two-tone46.54369.3620.75929.87969.742
Monotone5.21562.2993.48334.21864.041
Paired17.33373.5682.02324.40974.579

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 +4.11 points for AKs, from 67.05%, and -33.73 for KJs, from 62.57%.

AKs and KJs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKs, all flops71.16267.045+4.1171.06141
AKs, rainbow, ten or higher68.91867.045+1.8731.02794
AKs, rainbow, nine or lower83.50267.045+16.4571.24546
AKs, two-tone69.74267.045+2.6971.04023
AKs, monotone64.04167.045-3.0040.95519
AKs, paired74.57967.045+7.5341.11237
KJs, all flops28.83862.567-33.7290.46091
KJs, rainbow, ten or higher31.08262.567-31.4850.49678
KJs, rainbow, nine or lower16.49862.567-46.0690.26369
KJs, two-tone30.25862.567-32.3090.48361
KJs, monotone35.95962.567-26.6080.57473
KJs, paired25.42162.567-37.1460.40630

Does a shared suit matter?

These two classes cannot share a suit in any legal deal, so there is only one row to read: AKs holds 71.16% in every deal of this matchup.

AKs against KJs by suit overlap, in percent
DealsSpecific dealsShare of dealsAKs winsTiesKJs winsAKs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0070.5861.15128.26371.162

How often this matchup comes up

How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are AKs against KJs, and 24 (0.0015%) if either hand may sit in either seat.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average AKs takes back $142.32 of it, which is $42.32 more than it put in, and KJs takes back $57.68, $42.32 less than it put in.

Over a long run, 1,000 deals split into about 706 for AKs, 283 for KJs and 11 tied.

The same matchup from the other side

If you came looking for KJs against AKs, the numbers are the same with the hands swapped: 28.84% and 71.16%.

AsKs against KhJh 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 12 specific deals of AKs against KJs, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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