88 vs 76s: preflop equity

If 88 and 76s get all the chips in before the flop, 88 owns 81.50% of the pot in the long run and 76s owns 18.50%.

88

81.50%

Wins 81.06%, ties 0.88%

76s

18.50%

Wins 18.06%, ties 0.88%

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

88 against 76s: the numbers

Exact preflop results for 88 against 76s, in percent
HandWinsTiesLosesEquity
8881.0580.87718.06581.496
76s18.0650.87781.05818.504

88, a pocket pair, plays 76s, a suited hand. A pair against two lower cards is a lopsided matchup: the pair is ahead and the other hand has no overcard to catch.

88 is a big favorite here before anyone sees a flop. Ties are part of the picture: 0.88% of boards end in a split pot, and each side counts that as half a win.

88 ranks number 7 of 169 starting hands, and 76s ranks number 115, by equity against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
8833,311,000360,0007,424,000
76s7,424,000360,00033,311,000

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 76s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
884.4041.2345.5360.227
76s0.2275.5361.2344.404

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

By flop texture, 88's equity runs from 72.28% on low rainbow flops (nine high or lower) up to 85.68% on rainbow flops topped by a ten or better. 88 stays ahead on all five textures.

88 against 76s by flop texture, in percent
FlopShare of flops88 winsTies76s wins88 equity
Rainbow, ten or higher25.84485.4140.53414.05285.681
Rainbow, nine or lower5.06572.1320.30127.56772.282
Two-tone46.54579.5510.46819.98179.785
Monotone5.21274.2162.55023.23475.491
Paired17.33483.2742.15414.57284.351

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 76s 45.37%. Against each other the change is +12.34 points for 88 and -26.87 for 76s.

88 and 76s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
88, all flops81.49669.163+12.3331.17832
88, rainbow, ten or higher85.68169.163+16.5181.23883
88, rainbow, nine or lower72.28269.163+3.1191.04510
88, two-tone79.78569.163+10.6221.15358
88, monotone75.49169.163+6.3281.09149
88, paired84.35169.163+15.1881.21960
76s, all flops18.50445.372-26.8680.40783
76s, rainbow, ten or higher14.31945.372-31.0530.31559
76s, rainbow, nine or lower27.71845.372-17.6540.61091
76s, two-tone20.21545.372-25.1570.44554
76s, monotone24.50945.372-20.8630.54018
76s, paired15.64945.372-29.7230.34490

Does a shared suit matter?

Looking only at deals where the hands share a suit, 88 has 82.05%; looking only at deals where they do not, 80.94%. 88 does better with a shared suit, by 1.11 points.

88 against 76s by suit overlap, in percent
DealsSpecific dealsShare of deals88 winsTies76s wins88 equity
Share a suit1250.0081.5940.91817.48882.053
No shared suit1250.0080.5220.83618.64280.940

How often this matchup comes up

You will meet this exact matchup 0.0030% of the time in a random heads-up deal: 48 of 1,624,350, counting either seat order.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, 88's average share is $163.00 (a gain of $63.00) and 76s' is $37.00 (a loss of $63.00).

Scaled to 1,000 deals, that is roughly 810 wins for 88, 181 for 76s and 9 chopped pots.

The same matchup from the other side

The reversed view, 76s against 88, shows 18.50% for 76s and 81.50% for 88. It is the same count, so it redirects here.

The calculator link fills in 8s8h against 7d6d, 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

This is an exact count with no sampling. For the 24 ways to deal one 88 and one 76s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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