88 vs A7s: preflop equity

Over all 1,712,304 boards that can follow this deal, 88 finishes with 67.36% of the pot and A7s with 32.64%.

88

67.36%

Wins 67.17%, ties 0.37%

A7s

32.64%

Wins 32.46%, ties 0.37%

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

88 against A7s: the numbers

Exact preflop results for 88 against A7s, in percent
HandWinsTiesLosesEquity
8867.1720.37132.45767.358
A7s32.4570.37167.17232.642

We compare a pocket pair with 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.

88 is the clear favorite, though A7s gets there on roughly one board in 3. Ties are part of the picture: 0.37% of boards end in a split pot, and each side counts that as half a win.

Ranked by equity against a random hand, 88 is number 7 of the 169 starting hands and A7s is number 24.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
8827,605,000152,00013,338,000
A7s13,338,000152,00027,605,000

The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

88 against A7s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
882.0641.4893.0810.485
A7s0.4853.0811.4892.064

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

88 prefers low rainbow flops (nine high or lower), where it holds 80.07%, and likes monotone flops least, where it holds 63.14%. 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 A7s by flop texture, in percent
FlopShare of flops88 winsTiesA7s wins88 equity
Rainbow, ten or higher25.22066.6200.19533.18566.718
Rainbow, nine or lower5.68979.8300.47819.69280.069
Two-tone46.54565.7870.23133.98265.903
Monotone5.21261.9642.35535.68163.141
Paired17.33469.1060.37430.52069.293

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

Start from the random-hand figures, 69.16% for 88 and 60.98% for A7s. This opponent changes them by -1.80 and -28.34 points.

88 and A7s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
88, all flops67.35869.163-1.8050.97390
88, rainbow, ten or higher66.71869.163-2.4450.96465
88, rainbow, nine or lower80.06969.163+10.9061.15769
88, two-tone65.90369.163-3.2600.95286
88, monotone63.14169.163-6.0220.91293
88, paired69.29369.163+0.1301.00188
A7s, all flops32.64260.984-28.3420.53526
A7s, rainbow, ten or higher33.28260.984-27.7020.54575
A7s, rainbow, nine or lower19.93160.984-41.0530.32682
A7s, two-tone34.09760.984-26.8870.55911
A7s, monotone36.85960.984-24.1250.60440
A7s, paired30.70760.984-30.2770.50353

Does a shared suit matter?

The suit split reads 67.64% for 88 with a shared suit and 67.08% without one. 88 does better with a shared suit, by 0.56 points.

88 against A7s by suit overlap, in percent
DealsSpecific dealsShare of deals88 winsTiesA7s wins88 equity
Share a suit1250.0067.4280.41432.15867.635
No shared suit1250.0066.9170.32832.75567.081

How often this matchup comes up

How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are 88 against A7s, and 48 (0.0030%) if either hand may sit in either seat.

A worked example

With $100 from each side, the $200 pot is split on average as $134.72 for 88 and $65.28 for A7s; the first side gains $34.72 per all-in and the second gives up $34.72.

Per 1,000 deals: 88 wins about 672, A7s wins about 324, and about 4 end in a split pot.

The same matchup from the other side

Read it from the other side: A7s against 88 is the same matchup with the numbers swapped, so A7s holds 32.64% and 88 holds 67.36%. That address sends you back to this page.

The calculator link fills in 8s8h against Ad7d, 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of 88 against A7s, 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.

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