KJs vs 86s: preflop equity

In equity, KJs against 86s stands at 63.29% to 36.71%, a gap of 26.58 points.

KJs

63.29%

Wins 62.96%, ties 0.67%

86s

36.71%

Wins 36.37%, ties 0.67%

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

KJs against 86s: the numbers

Exact preflop results for KJs against 86s, in percent
HandWinsTiesLosesEquity
KJs62.9570.67136.37263.292
86s36.3720.67162.95736.708

Two suited hands meet here: KJs against 86s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

The lead is steady rather than large, and the flop still has plenty of say in who wins. Split pots make up 0.67% of the boards, and both equity figures count them as half a win each.

By strength against a random hand, KJs holds place 20 of 169 and 86s holds place 110.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs17,248,000184,0009,965,000
86s9,965,000184,00017,248,000

The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

KJs against 86s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs1.7241.5882.7490.580
86s0.5802.7491.5881.724

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

By flop texture, KJs' equity runs from 37.02% on low rainbow flops (nine high or lower) up to 70.57% on rainbow flops topped by a ten or better. 86s is ahead on low rainbow flops (nine high or lower), even though it trails KJs when every flop is counted.

KJs against 86s by flop texture, in percent
FlopShare of flopsKJs winsTies86s winsKJs equity
Rainbow, ten or higher24.59570.4330.26929.29870.568
Rainbow, nine or lower6.31436.6990.63362.66837.015
Two-tone46.72762.5710.31737.11262.730
Monotone5.27358.7523.45837.79060.481
Paired17.09164.2491.37034.38164.934

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 +0.72 points and 86s from 46.24% by -9.53 points.

KJs and 86s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops63.29262.567+0.7251.01159
KJs, rainbow, ten or higher70.56862.567+8.0011.12788
KJs, rainbow, nine or lower37.01562.567-25.5520.59161
KJs, two-tone62.73062.567+0.1631.00261
KJs, monotone60.48162.567-2.0860.96666
KJs, paired64.93462.567+2.3671.03783
86s, all flops36.70846.243-9.5350.79381
86s, rainbow, ten or higher29.43246.243-16.8110.63646
86s, rainbow, nine or lower62.98546.243+16.7421.36204
86s, two-tone37.27046.243-8.9730.80596
86s, monotone39.51946.243-6.7240.85459
86s, paired35.06646.243-11.1770.75830

Does a shared suit matter?

Of the deals of this matchup, 4 share a suit (KJs at 65.64%) and 12 do not (62.51%). KJs does better with a shared suit, by 3.13 points.

KJs against 86s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTies86s winsKJs equity
Share a suit425.0065.2570.75833.98565.636
No shared suit1275.0062.1900.64237.16862.511

How often this matchup comes up

This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).

A worked example

Take a $200 pot built from $100 each. KJs' equity of 63.29% is worth $126.58, a $26.58 edge, and 86s' 36.71% is worth $73.42, which is $26.58 under its stake.

In 1,000 deals of exactly this matchup, expect about 629 won outright by KJs, about 364 won outright by 86s and about 7 split.

The same matchup from the other side

Read it from the other side: 86s against KJs is the same matchup with the numbers swapped, so 86s holds 36.71% and KJs holds 63.29%. That address sends you back to this page.

Open the calculator with KsJs against 8h6h 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

Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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