88 vs A9s: preflop equity

Dealt all in against each other, 88 takes 54.30% of the pot on average and A9s takes the other 45.70%.

88

54.30%

Wins 54.11%, ties 0.39%

A9s

45.70%

Wins 45.50%, ties 0.39%

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

88 against A9s: the numbers

Exact preflop results for 88 against A9s, in percent
HandWinsTiesLosesEquity
8854.1070.38745.50654.300
A9s45.5060.38754.10745.700

We compare a pocket pair with a suited hand. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.

That is a slim edge: neither hand is far ahead. About 0.39% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Ranked by equity against a random hand, 88 is number 7 of the 169 starting hands and A9s is number 18.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
8822,235,000159,00018,701,000
A9s18,701,000159,00022,235,000

The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

88 against A9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
881.1881.8482.1980.842
A9s0.8422.1981.8481.188

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

Split by what the flop looks like, 88 peaks at 60.50% on low rainbow flops (nine high or lower) and bottoms out at 52.43% on two-tone flops. 88 stays ahead on all five textures.

88 against A9s by flop texture, in percent
FlopShare of flops88 winsTiesA9s wins88 equity
Rainbow, ten or higher25.22053.5140.18546.30153.606
Rainbow, nine or lower5.68960.1450.71039.14560.500
Two-tone46.54552.3010.26147.43852.431
Monotone5.21251.6682.37345.95952.855
Paired17.33458.5700.31741.11358.729

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

Against one random hand instead, 88 holds 69.16% and A9s holds 62.78%. Facing each other changes that by -14.86 points for 88 and -17.08 points for A9s.

88 and A9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
88, all flops54.30069.163-14.8630.78510
88, rainbow, ten or higher53.60669.163-15.5570.77507
88, rainbow, nine or lower60.50069.163-8.6630.87475
88, two-tone52.43169.163-16.7320.75808
88, monotone52.85569.163-16.3080.76421
88, paired58.72969.163-10.4340.84914
A9s, all flops45.70062.781-17.0810.72793
A9s, rainbow, ten or higher46.39462.781-16.3870.73898
A9s, rainbow, nine or lower39.50062.781-23.2810.62917
A9s, two-tone47.56962.781-15.2120.75770
A9s, monotone47.14562.781-15.6360.75094
A9s, paired41.27162.781-21.5100.65738

Does a shared suit matter?

When the hands share a suit, 88 holds 54.48%; when they do not, it holds 54.13%. 88 does better with a shared suit, by 0.35 points.

88 against A9s by suit overlap, in percent
DealsSpecific dealsShare of deals88 winsTiesA9s wins88 equity
Share a suit1250.0054.2610.42945.31054.475
No shared suit1250.0053.9530.34545.70254.126

How often this matchup comes up

88 against A9s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. 88 averages $108.60 from the $200, up $8.60; A9s averages $91.40, down $8.60.

Per 1,000 deals: 88 wins about 541, A9s wins about 455, and about 4 end in a split pot.

The same matchup from the other side

The mirror image, A9s against 88, is 45.70% to 54.30%, and its address redirects to this page.

Open the calculator with 8s8h against Ad9d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

Each figure is a complete count over boards. Take the 24 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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