KJo vs 86s: preflop equity

In equity, KJo against 86s stands at 60.78% to 39.22%, a gap of 21.56 points.

KJo

60.78%

Wins 60.46%, ties 0.64%

86s

39.22%

Wins 38.90%, ties 0.64%

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

KJo against 86s: the numbers

Exact preflop results for KJo against 86s, in percent
HandWinsTiesLosesEquity
KJo60.4610.63538.90460.779
86s38.9040.63560.46139.221

KJo, an offsuit hand, plays 86s, a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

The lead is steady rather than large, and the flop still has plenty of say in who wins. The tie share is 0.64%: on those boards the pot is chopped and neither hand wins outright.

For context, KJo sits at number 26 of 169 starting hands and 86s at number 110 when each is run against a random hand.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJo49,693,000522,00031,975,000
86s31,975,000522,00049,693,000

The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

KJo against 86s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJo1.5501.6542.5700.645
86s0.6452.5701.6541.550

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

KJo prefers rainbow flops topped by a ten or better, where it holds 69.28%, and likes low rainbow flops (nine high or lower) least, where it holds 34.51%. Watch for low rainbow flops (nine high or lower): on those flops 86s holds the better equity.

KJo against 86s by flop texture, in percent
FlopShare of flopsKJo winsTies86s winsKJo equity
Rainbow, ten or higher24.71769.1460.27730.57769.284
Rainbow, nine or lower6.31334.1750.66265.16334.506
Two-tone46.66759.1520.33640.51259.320
Monotone5.21257.7342.43539.83158.952
Paired17.09162.0201.40736.57362.724

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

Start from the random-hand figures, 60.57% for KJo and 46.24% for 86s. This opponent changes them by +0.21 and -7.02 points.

KJo and 86s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJo, all flops60.77960.569+0.2101.00347
KJo, rainbow, ten or higher69.28460.569+8.7151.14389
KJo, rainbow, nine or lower34.50660.569-26.0630.56970
KJo, two-tone59.32060.569-1.2490.97938
KJo, monotone58.95260.569-1.6170.97330
KJo, paired62.72460.569+2.1551.03558
86s, all flops39.22146.243-7.0220.84815
86s, rainbow, ten or higher30.71646.243-15.5270.66423
86s, rainbow, nine or lower65.49446.243+19.2511.41630
86s, two-tone40.68046.243-5.5630.87970
86s, monotone41.04846.243-5.1950.88766
86s, paired37.27646.243-8.9670.80609

Does a shared suit matter?

Looking only at deals where the hands share a suit, KJo has 61.50%; looking only at deals where they do not, 60.06%. KJo does better with a shared suit, by 1.44 points.

KJo against 86s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJo winsTies86s winsKJo equity
Share a suit2450.0061.1610.67638.16361.499
No shared suit2450.0059.7620.59339.64560.058

How often this matchup comes up

Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average KJo takes back $121.56 of it, which is $21.56 more than it put in, and 86s takes back $78.44, $21.56 less than it put in.

Scaled to 1,000 deals, that is roughly 605 wins for KJo, 389 for 86s and 6 chopped pots.

The same matchup from the other side

86s against KJo adds nothing new: it is 39.22% for 86s and 60.78% for KJo, the same figures reversed.

Try KsJh against 8d6d 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 page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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