86s vs 43s: preflop equity

Counting every board, the equity split is 63.23% for 86s and 36.77% for 43s, so 86s leads by 26.46 points.

86s

63.23%

Wins 60.95%, ties 4.55%

43s

36.77%

Wins 34.50%, ties 4.55%

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

86s against 43s: the numbers

Exact preflop results for 86s against 43s, in percent
HandWinsTiesLosesEquity
86s60.9514.54834.50163.225
43s34.5014.54860.95136.775

This is a contest between two suited hands, 86s and 43s. 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. The tie share is 4.55%: on those boards the pot is chopped and neither hand wins outright.

By strength against a random hand, 86s holds place 110 of 169 and 43s holds place 150.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
86s16,699,0001,246,0009,452,000
43s9,452,0001,246,00016,699,000

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.

86s against 43s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
86s1.7191.6412.8980.582
43s0.5822.8981.6411.719

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

86s prefers rainbow flops topped by a ten or better, where it holds 64.31%, and likes monotone flops least, where it holds 60.88%. 86s stays ahead on all five textures.

86s against 43s by flop texture, in percent
FlopShare of flops86s winsTies43s wins86s equity
Rainbow, ten or higher25.84462.3563.90833.73664.310
Rainbow, nine or lower5.06563.3900.74135.86963.761
Two-tone46.72761.6372.99635.36763.135
Monotone5.27358.1655.42236.41360.876
Paired17.09157.08810.61532.29762.395

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

Each hand has a baseline against a random hand: 46.24% for 86s, 38.64% for 43s. Here the change is +16.99 and -1.87 points.

86s and 43s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
86s, all flops63.22546.243+16.9821.36723
86s, rainbow, ten or higher64.31046.243+18.0671.39070
86s, rainbow, nine or lower63.76146.243+17.5181.37882
86s, two-tone63.13546.243+16.8921.36529
86s, monotone60.87646.243+14.6331.31644
86s, paired62.39546.243+16.1521.34929
43s, all flops36.77538.642-1.8670.95168
43s, rainbow, ten or higher35.69038.642-2.9520.92361
43s, rainbow, nine or lower36.23938.642-2.4030.93781
43s, two-tone36.86538.642-1.7770.95401
43s, monotone39.12438.642+0.4821.01247
43s, paired37.60538.642-1.0370.97316

Does a shared suit matter?

Of the deals of this matchup, 4 share a suit (86s at 65.68%) and 12 do not (62.41%). 86s does better with a shared suit, by 3.27 points.

86s against 43s by suit overlap, in percent
DealsSpecific dealsShare of deals86s winsTies43s wins86s equity
Share a suit425.0063.2344.88231.88465.675
No shared suit1275.0060.1904.43635.37462.408

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

A $100 all-in from each player makes a $200 pot, and the exact equity says 86s gets $126.46 of it on average and 43s gets $73.54.

In 1,000 deals of exactly this matchup, expect about 610 won outright by 86s, about 345 won outright by 43s and about 45 split.

The same matchup from the other side

The reversed view, 43s against 86s, shows 36.77% for 43s and 63.23% for 86s. It is the same count, so it redirects here.

The calculator link fills in 8s6s against 4h3h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

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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