KJs vs A6s: preflop equity

Over all 1,712,304 boards that can follow this deal, A6s finishes with 56.60% of the pot and KJs with 43.40%.

KJs

43.40%

Wins 43.16%, ties 0.49%

A6s

56.60%

Wins 56.35%, ties 0.49%

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

KJs against A6s: the numbers

Exact preflop results for KJs against A6s, in percent
HandWinsTiesLosesEquity
KJs43.1550.49156.35443.401
A6s56.3540.49143.15556.599

Each side holds one of the suited hands: KJs and A6s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

A 13.20 point lead is real, and KJs still takes about 432 of every 1,000 deals outright. Ties are 0.49% of the outcomes here; each tied board gives both hands half the pot.

In the ranking of all 169 starting hands, KJs is number 20 and A6s is number 31.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs11,823,000135,00015,439,000
A6s15,439,000135,00011,823,000

The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

KJs against A6s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs0.7672.3171.7741.304
A6s1.3041.7742.3170.767

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, A6s peaks at 74.47% on low rainbow flops (nine high or lower) and bottoms out at 50.30% on rainbow flops topped by a ten or better. A6s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KJs against A6s by flop texture, in percent
FlopShare of flopsKJs winsTiesA6s winsKJs equity
Rainbow, ten or higher23.86749.6540.09650.25049.702
Rainbow, nine or lower7.04225.0700.91574.01525.527
Two-tone46.72744.5010.25255.24744.627
Monotone5.27344.1853.40652.40945.888
Paired17.09137.5330.62461.84337.845

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

Compared with a random opponent, this matchup shifts KJs from 62.57% by -19.17 points and A6s from 59.91% by -3.31 points.

KJs and A6s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops43.40162.567-19.1660.69367
KJs, rainbow, ten or higher49.70262.567-12.8650.79438
KJs, rainbow, nine or lower25.52762.567-37.0400.40799
KJs, two-tone44.62762.567-17.9400.71327
KJs, monotone45.88862.567-16.6790.73342
KJs, paired37.84562.567-24.7220.60487
A6s, all flops56.59959.906-3.3070.94480
A6s, rainbow, ten or higher50.29859.906-9.6080.83962
A6s, rainbow, nine or lower74.47359.906+14.5671.24316
A6s, two-tone55.37359.906-4.5330.92433
A6s, monotone54.11259.906-5.7940.90328
A6s, paired62.15559.906+2.2491.03754

Does a shared suit matter?

When the hands share a suit, A6s holds 58.45%; when they do not, it holds 55.98%. A6s does better with a shared suit, by 2.47 points.

KJs against A6s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTiesA6s winsKJs equity
Share a suit425.0041.2620.56958.16941.546
No shared suit1275.0043.7860.46555.74944.019

How often this matchup comes up

Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. A6s is worth $113.20 on average (+$13.20); KJs is worth $86.80 (-$13.20).

Out of 1,000 deals you should see around 563 outright wins for A6s, 432 for KJs, and 5 split pots.

The same matchup from the other side

One page covers both views. From A6s' side the equity is 56.60%, and from KJs' side it is 43.40%.

KsJs against Ah6h 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

Nothing here is simulated. The 16 deals of KJs against A6s 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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