KQo vs 86s: preflop equity

If KQo and 86s get all the chips in before the flop, KQo owns 60.45% of the pot in the long run and 86s owns 39.55%.

KQo

60.45%

Wins 60.13%, ties 0.64%

86s

39.55%

Wins 39.23%, ties 0.64%

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

KQo against 86s: the numbers

Exact preflop results for KQo against 86s, in percent
HandWinsTiesLosesEquity
KQo60.1340.63539.23160.452
86s39.2310.63560.13439.548

KQo is an offsuit hand and 86s is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

A 20.90 point lead is real, and 86s still takes about 392 of every 1,000 deals outright. Ties are 0.64% of the outcomes here; each tied board gives both hands half the pot.

Ranked by equity against a random hand, KQo is number 23 of the 169 starting hands and 86s is number 110.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KQo49,424,000522,00032,244,000
86s32,244,000522,00049,424,000

48 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

KQo against 86s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KQo1.5291.6632.5490.654
86s0.6542.5491.6631.529

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

KQo prefers rainbow flops topped by a ten or better, where it holds 68.93%, and likes low rainbow flops (nine high or lower) least, where it holds 33.94%. Low rainbow flops (nine high or lower) favor 86s, the hand that is behind overall.

KQo against 86s by flop texture, in percent
FlopShare of flopsKQo winsTies86s winsKQo equity
Rainbow, ten or higher24.71768.8030.26230.93568.934
Rainbow, nine or lower6.31333.5810.71765.70233.940
Two-tone46.66758.7810.33840.88158.950
Monotone5.21257.4552.43940.10658.674
Paired17.09161.9211.40336.67662.623

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

Compared with a random opponent, this matchup shifts KQo from 61.46% by -1.01 points and 86s from 46.24% by -6.69 points.

KQo and 86s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KQo, all flops60.45261.456-1.0040.98366
KQo, rainbow, ten or higher68.93461.456+7.4781.12168
KQo, rainbow, nine or lower33.94061.456-27.5160.55227
KQo, two-tone58.95061.456-2.5060.95922
KQo, monotone58.67461.456-2.7820.95473
KQo, paired62.62361.456+1.1671.01899
86s, all flops39.54846.243-6.6950.85522
86s, rainbow, ten or higher31.06646.243-15.1770.67180
86s, rainbow, nine or lower66.06046.243+19.8171.42854
86s, two-tone41.05046.243-5.1930.88770
86s, monotone41.32646.243-4.9170.89367
86s, paired37.37746.243-8.8660.80827

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common KQo has 61.17% equity, and with none in common it has 59.74%. KQo does better with a shared suit, by 1.43 points.

KQo against 86s by suit overlap, in percent
DealsSpecific dealsShare of dealsKQo winsTies86s winsKQo equity
Share a suit2450.0060.8310.67638.49361.169
No shared suit2450.0059.4380.59339.96959.735

How often this matchup comes up

This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. KQo averages $120.90 from the $200, up $20.90; 86s averages $79.10, down $20.90.

Out of 1,000 deals you should see around 601 outright wins for KQo, 392 for 86s, and 7 split pots.

The same matchup from the other side

The reversed view, 86s against KQo, shows 39.55% for 86s and 60.45% for KQo. It is the same count, so it redirects here.

Try KsQh 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

Each figure is a complete count over boards. Take the 48 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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