A9s vs 86s: preflop equity

Over all 1,712,304 boards that can follow this deal, A9s finishes with 62.31% of the pot and 86s with 37.69%.

A9s

62.31%

Wins 62.08%, ties 0.47%

86s

37.69%

Wins 37.45%, ties 0.47%

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

A9s against 86s: the numbers

Exact preflop results for A9s against 86s, in percent
HandWinsTiesLosesEquity
A9s62.0800.46537.45562.313
86s37.4550.46562.08037.687

A9s meets 86s, and both are suited hands. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

A9s is ahead, but 86s is far from dead: it takes 374 of every 1,000 deals outright. Ties are part of the picture: 0.47% of boards end in a split pot, and each side counts that as half a win.

Among the 169 starting hands, A9s is number 18 and 86s is number 110 by strength against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A9s17,008,000127,00010,261,000
86s10,261,000127,00017,008,000

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.

A9s against 86s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A9s1.6531.6112.6700.605
86s0.6052.6701.6111.653

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

If you know the kind of flop that came, the numbers shift: A9s holds 66.11% on rainbow flops topped by a ten or better and 45.89% on low rainbow flops (nine high or lower). 86s is ahead on low rainbow flops (nine high or lower), even though it trails A9s when every flop is counted.

A9s against 86s by flop texture, in percent
FlopShare of flopsA9s winsTies86s winsA9s equity
Rainbow, ten or higher25.22066.0180.17533.80766.105
Rainbow, nine or lower5.68945.6370.51153.85245.892
Two-tone46.72761.3820.21738.40161.491
Monotone5.27357.6943.39238.91459.390
Paired17.09165.0030.65334.34465.330

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, A9s changes by -0.47 points (baseline 62.78%) and 86s by -8.55 points (baseline 46.24%).

A9s and 86s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A9s, all flops62.31362.781-0.4680.99255
A9s, rainbow, ten or higher66.10562.781+3.3241.05295
A9s, rainbow, nine or lower45.89262.781-16.8890.73099
A9s, two-tone61.49162.781-1.2900.97945
A9s, monotone59.39062.781-3.3910.94599
A9s, paired65.33062.781+2.5491.04060
86s, all flops37.68746.243-8.5560.81498
86s, rainbow, ten or higher33.89546.243-12.3480.73298
86s, rainbow, nine or lower54.10846.243+7.8651.17008
86s, two-tone38.50946.243-7.7340.83275
86s, monotone40.61046.243-5.6330.87819
86s, paired34.67046.243-11.5730.74974

Does a shared suit matter?

When the hands share a suit, A9s holds 64.62%; when they do not, it holds 61.54%. A9s does better with a shared suit, by 3.08 points.

A9s against 86s by suit overlap, in percent
DealsSpecific dealsShare of dealsA9s winsTies86s winsA9s equity
Share a suit425.0064.3540.53835.10864.623
No shared suit1275.0061.3230.44038.23761.543

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 16 are A9s in one seat and 86s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).

A worked example

Put $100 each into a $200 pot and deal every board once: A9s averages $124.62 back, ahead of its $100 by $24.62, while 86s averages $75.38, short of its $100 by $24.62.

Over a long run, 1,000 deals split into about 621 for A9s, 374 for 86s and 5 tied.

The same matchup from the other side

Read it from the other side: 86s against A9s is the same matchup with the numbers swapped, so 86s holds 37.69% and A9s holds 62.31%. That address sends you back to this page.

Try As9s against 8h6h 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of A9s against 86s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

Bring your own hands to a session

Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.

Book a session