88 vs A2s: preflop equity

If 88 and A2s get all the chips in before the flop, 88 owns 66.69% of the pot in the long run and A2s owns 33.31%.

88

66.69%

Wins 66.48%, ties 0.43%

A2s

33.31%

Wins 33.09%, ties 0.43%

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

88 against A2s: the numbers

Exact preflop results for 88 against A2s, in percent
HandWinsTiesLosesEquity
8866.4800.42533.09566.692
A2s33.0950.42566.48033.308

One side is a pocket pair, the other is a suited hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.

A lead of 33.38 points is large but not decisive: A2s still takes about 331 of every 1,000 deals. Ties are 0.43% of the outcomes here; each tied board gives both hands half the pot.

88 ranks number 7 of 169 starting hands, and A2s ranks number 46, by equity against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
8827,320,000175,00013,600,000
A2s13,600,000175,00027,320,000

24 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

88 against A2s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
882.0021.5043.0220.499
A2s0.4993.0221.5042.002

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 78.66% on low rainbow flops (nine high or lower) and bottoms out at 62.80% 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 A2s by flop texture, in percent
FlopShare of flops88 winsTiesA2s wins88 equity
Rainbow, ten or higher25.22066.1200.19933.68166.219
Rainbow, nine or lower5.68978.2400.84720.91378.663
Two-tone46.54565.1480.29434.55865.295
Monotone5.21261.6002.40036.00062.800
Paired17.33468.1850.37431.44168.372

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 88 69.16% and A2s 57.38%. Against each other the change is -2.47 points for 88 and -24.07 for A2s.

88 and A2s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
88, all flops66.69269.163-2.4710.96427
88, rainbow, ten or higher66.21969.163-2.9440.95743
88, rainbow, nine or lower78.66369.163+9.5001.13736
88, two-tone65.29569.163-3.8680.94407
88, monotone62.80069.163-6.3630.90800
88, paired68.37269.163-0.7910.98856
A2s, all flops33.30857.379-24.0710.58049
A2s, rainbow, ten or higher33.78157.379-23.5980.58873
A2s, rainbow, nine or lower21.33757.379-36.0420.37186
A2s, two-tone34.70557.379-22.6740.60484
A2s, monotone37.20057.379-20.1790.64832
A2s, paired31.62857.379-25.7510.55121

Does a shared suit matter?

Of the deals of this matchup, 12 share a suit (88 at 66.99%) and 12 do not (66.39%). 88 does better with a shared suit, by 0.60 points.

88 against A2s by suit overlap, in percent
DealsSpecific dealsShare of deals88 winsTiesA2s wins88 equity
Share a suit1250.0066.7570.47232.77166.993
No shared suit1250.0066.2010.37933.42066.391

How often this matchup comes up

How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are 88 against A2s, and 48 (0.0030%) if either hand may sit in either seat.

A worked example

Take a $200 pot built from $100 each. 88's equity of 66.69% is worth $133.38, a $33.38 edge, and A2s' 33.31% is worth $66.62, which is $33.38 under its stake.

A thousand deals look like this: 88 takes 665, A2s takes 331, 4 are ties.

The same matchup from the other side

One page covers both views. From A2s' side the equity is 33.31%, and from 88's side it is 66.69%.

The calculator link fills in 8s8h against Ad2d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

Nothing here is simulated. The 24 deals of 88 against A2s 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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