ATs vs 86s: preflop equity

Dealt all in against each other, ATs takes 62.65% of the pot on average and 86s takes the other 37.35%.

ATs

62.65%

Wins 62.42%, ties 0.46%

86s

37.35%

Wins 37.12%, ties 0.46%

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

ATs against 86s: the numbers

Exact preflop results for ATs against 86s, in percent
HandWinsTiesLosesEquity
ATs62.4150.46137.12462.646
86s37.1240.46162.41537.354

The matchup is suited hands on both sides, ATs 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. Ties are 0.46% of the outcomes here; each tied board gives both hands half the pot.

By strength against a random hand, ATs holds place 13 of 169 and 86s holds place 110.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
ATs17,100,000126,00010,171,000
86s10,171,000126,00017,100,000

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.

ATs against 86s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
ATs1.6771.6022.6940.596
86s0.5962.6941.6021.677

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

Rainbow flops topped by a ten or better are the best for ATs (69.35%); low rainbow flops (nine high or lower) are the worst (37.33%). The overall edge for ATs hides low rainbow flops (nine high or lower), where 86s comes out in front.

ATs against 86s by flop texture, in percent
FlopShare of flopsATs winsTies86s winsATs equity
Rainbow, ten or higher24.59569.2730.16130.56669.354
Rainbow, nine or lower6.31437.0760.50662.41837.329
Two-tone46.72761.8000.21437.98661.907
Monotone5.27358.0923.39238.51659.788
Paired17.09164.9210.64934.43065.246

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

Relative to a random opponent, ATs changes by -1.95 points (baseline 64.60%) and 86s by -8.89 points (baseline 46.24%).

ATs and 86s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
ATs, all flops62.64664.602-1.9560.96972
ATs, rainbow, ten or higher69.35464.602+4.7521.07356
ATs, rainbow, nine or lower37.32964.602-27.2730.57783
ATs, two-tone61.90764.602-2.6950.95828
ATs, monotone59.78864.602-4.8140.92548
ATs, paired65.24664.602+0.6441.00997
86s, all flops37.35446.243-8.8890.80778
86s, rainbow, ten or higher30.64646.243-15.5970.66272
86s, rainbow, nine or lower62.67146.243+16.4281.35525
86s, two-tone38.09346.243-8.1500.82376
86s, monotone40.21246.243-6.0310.86958
86s, paired34.75446.243-11.4890.75155

Does a shared suit matter?

The suit split reads 64.96% for ATs with a shared suit and 61.88% without one. ATs does better with a shared suit, by 3.08 points.

ATs against 86s by suit overlap, in percent
DealsSpecific dealsShare of dealsATs winsTies86s winsATs equity
Share a suit425.0064.6880.53534.77764.955
No shared suit1275.0061.6570.43737.90661.876

How often this matchup comes up

The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average ATs takes back $125.30 of it, which is $25.30 more than it put in, and 86s takes back $74.70, $25.30 less than it put in.

Out of 1,000 deals you should see around 624 outright wins for ATs, 371 for 86s, and 5 split pots.

The same matchup from the other side

The mirror image, 86s against ATs, is 37.35% to 62.65%, and its address redirects to this page.

The calculator link fills in AsTs against 8h6h, 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

We counted every case. Each suit pattern of the 16 specific ATs against 86s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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