A8s vs 86s: preflop equity

In equity, A8s against 86s stands at 68.65% to 31.35%, a gap of 37.30 points.

A8s

68.65%

Wins 67.41%, ties 2.48%

86s

31.35%

Wins 30.11%, ties 2.48%

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

A8s against 86s: the numbers

Exact preflop results for A8s against 86s, in percent
HandWinsTiesLosesEquity
A8s67.4082.48030.11268.648
86s30.1122.48067.40831.352

Here suited hands face each other, A8s on one side and 86s on the other. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.

A8s is the clear favorite, though 86s gets there on roughly one board in 3. A split pot comes up on 2.48% of boards, so the wins and the equity differ by half of that.

Among the 169 starting hands, A8s is number 21 and 86s is number 110 by strength against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A8s13,851,000510,0006,187,000
86s6,187,000510,00013,851,000

The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

A8s against 86s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A8s2.1901.4843.3210.457
86s0.4573.3211.4842.190

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

Paired flops are the best for A8s (73.52%); low rainbow flops (nine high or lower) are the worst (51.27%). A8s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

A8s against 86s by flop texture, in percent
FlopShare of flopsA8s winsTies86s winsA8s equity
Rainbow, ten or higher25.25472.3522.11325.53573.409
Rainbow, nine or lower5.65449.0354.46846.49751.269
Two-tone46.54365.9612.19931.84067.060
Monotone5.21560.1734.45635.37162.401
Paired17.33472.2582.52925.21373.522

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

A random hand would give A8s 61.94% and 86s 46.24%. Against each other the change is +6.71 points for A8s and -14.89 for 86s.

A8s and 86s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A8s, all flops68.64861.944+6.7041.10823
A8s, rainbow, ten or higher73.40961.944+11.4651.18509
A8s, rainbow, nine or lower51.26961.944-10.6750.82767
A8s, two-tone67.06061.944+5.1161.08259
A8s, monotone62.40161.944+0.4571.00738
A8s, paired73.52261.944+11.5781.18691
86s, all flops31.35246.243-14.8910.67798
86s, rainbow, ten or higher26.59146.243-19.6520.57503
86s, rainbow, nine or lower48.73146.243+2.4881.05380
86s, two-tone32.94046.243-13.3030.71232
86s, monotone37.59946.243-8.6440.81307
86s, paired26.47846.243-19.7650.57258

Does a shared suit matter?

A shared suit is impossible for this matchup, so A8s' 68.65% is the answer for every suit pattern.

A8s against 86s by suit overlap, in percent
DealsSpecific dealsShare of dealsA8s winsTies86s winsA8s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0067.4082.48030.11268.648

How often this matchup comes up

You will meet this exact matchup 0.0015% of the time in a random heads-up deal: 24 of 1,624,350, counting either seat order.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. A8s is worth $137.30 on average (+$37.30); 86s is worth $62.70 (-$37.30).

Think in thousands: about 674 of 1,000 go to A8s, about 301 go to 86s, and about 25 are chopped.

The same matchup from the other side

86s versus A8s is this same page seen from the other hand: 31.35% for 86s, 68.65% for A8s.

As8s against 8h6h is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

Each figure is a complete count over boards. Take the 12 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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