99 vs A8s: preflop equity

In equity, 99 against A8s stands at 67.59% to 32.41%, a gap of 35.18 points.

99

67.59%

Wins 67.40%, ties 0.38%

A8s

32.41%

Wins 32.22%, ties 0.38%

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

99 against A8s: the numbers

Exact preflop results for 99 against A8s, in percent
HandWinsTiesLosesEquity
9967.3950.38432.22167.587
A8s32.2210.38467.39532.413

The matchup pits a pocket pair against a suited hand. The pair is ahead of one card and behind the other, so the board decides how that plays out.

A lead of 35.18 points is large but not decisive: A8s still takes about 322 of every 1,000 deals. 0.38% of boards are ties, so the equity of each hand is its win rate plus half of that.

99 ranks number 6 of 169 starting hands, and A8s ranks number 21, by equity against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9927,696,000158,00013,241,000
A8s13,241,000158,00027,696,000

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.

99 against A8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
992.0851.4843.1040.480
A8s0.4803.1041.4842.085

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

Break the boards down by their first three cards and 99 is strongest on low rainbow flops (nine high or lower) (80.55%) and weakest on monotone flops (63.20%). 99 stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

99 against A8s by flop texture, in percent
FlopShare of flops99 winsTiesA8s wins99 equity
Rainbow, ten or higher25.22066.6020.18533.21366.695
Rainbow, nine or lower5.68980.1940.70919.09780.548
Two-tone46.54565.8410.26133.89865.971
Monotone5.21262.0152.36735.61863.198
Paired17.33470.1400.30129.55970.291

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, 99 holds 72.06% and A8s holds 61.94%. Facing each other changes that by -4.47 points for 99 and -29.53 points for A8s.

99 and A8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops67.58772.057-4.4700.93797
99, rainbow, ten or higher66.69572.057-5.3620.92559
99, rainbow, nine or lower80.54872.057+8.4911.11784
99, two-tone65.97172.057-6.0860.91554
99, monotone63.19872.057-8.8590.87706
99, paired70.29172.057-1.7660.97549
A8s, all flops32.41361.944-29.5310.52326
A8s, rainbow, ten or higher33.30561.944-28.6390.53766
A8s, rainbow, nine or lower19.45261.944-42.4920.31403
A8s, two-tone34.02961.944-27.9150.54935
A8s, monotone36.80261.944-25.1420.59412
A8s, paired29.70961.944-32.2350.47961

Does a shared suit matter?

Split by suits, the deals give 99 67.86% when the hands overlap in a suit and 67.31% when they do not. 99 does better with a shared suit, by 0.55 points.

99 against A8s by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTiesA8s wins99 equity
Share a suit1250.0067.6500.42631.92467.863
No shared suit1250.0067.1410.34232.51767.312

How often this matchup comes up

The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says 99 gets $135.18 of it on average and A8s gets $64.82.

Per 1,000 deals: 99 wins about 674, A8s wins about 322, and about 4 end in a split pot.

The same matchup from the other side

A8s versus 99 is this same page seen from the other hand: 32.41% for A8s, 67.59% for 99.

9s9h against Ad8d 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

Method: exact enumeration. The 24 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

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

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