88 vs A8s: preflop equity

If 88 and A8s get all the chips in before the flop, 88 owns 65.95% of the pot in the long run and A8s owns 34.05%.

88

65.95%

Wins 64.67%, ties 2.56%

A8s

34.05%

Wins 32.77%, ties 2.56%

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

88 against A8s: the numbers

Exact preflop results for 88 against A8s, in percent
HandWinsTiesLosesEquity
8864.6702.55532.77565.947
A8s32.7752.55564.67034.053

One side is a pocket pair, the other is a suited hand. The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.

88 is well ahead, and A8s needs a specific kind of board to catch up. Ties are 2.56% of the outcomes here; each tied board gives both hands half the pot.

The hand ranking puts 88 at 7 and A8s at 21 out of 169 starting hands.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
8813,288,000525,0006,734,000
A8s6,734,000525,00013,288,000

Exact total: 12 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

88 against A8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
881.9371.5463.0510.516
A8s0.5163.0511.5461.937

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: 88 holds 81.22% on low rainbow flops (nine high or lower) and 61.60% on monotone flops. 88 stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

88 against A8s by flop texture, in percent
FlopShare of flops88 winsTiesA8s wins88 equity
Rainbow, ten or higher25.19763.0982.37734.52564.287
Rainbow, nine or lower5.58578.3125.81015.87881.217
Two-tone46.23662.5402.68734.77363.883
Monotone5.15160.0073.18636.80761.600
Paired17.83169.4861.26529.24970.118

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

Relative to a random opponent, 88 changes by -3.21 points (baseline 69.16%) and A8s by -27.89 points (baseline 61.94%).

88 and A8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
88, all flops65.94769.163-3.2160.95350
88, rainbow, ten or higher64.28769.163-4.8760.92950
88, rainbow, nine or lower81.21769.163+12.0541.17428
88, two-tone63.88369.163-5.2800.92366
88, monotone61.60069.163-7.5630.89065
88, paired70.11869.163+0.9551.01381
A8s, all flops34.05361.944-27.8910.54974
A8s, rainbow, ten or higher35.71361.944-26.2310.57654
A8s, rainbow, nine or lower18.78361.944-43.1610.30323
A8s, two-tone36.11761.944-25.8270.58306
A8s, monotone38.40061.944-23.5440.61991
A8s, paired29.88261.944-32.0620.48240

Does a shared suit matter?

These two classes cannot share a suit in any legal deal, so there is only one row to read: 88 holds 65.95% in every deal of this matchup.

88 against A8s by suit overlap, in percent
DealsSpecific dealsShare of deals88 winsTiesA8s wins88 equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0064.6702.55532.77565.947

How often this matchup comes up

Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, 88's average share is $131.90 (a gain of $31.90) and A8s' is $68.10 (a loss of $31.90).

Over a long run, 1,000 deals split into about 647 for 88, 328 for A8s and 25 tied.

The same matchup from the other side

If you came looking for A8s against 88, the numbers are the same with the hands swapped: 34.05% and 65.95%.

8s8h 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

Nothing here is simulated. The 12 deals of 88 against A8s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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