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88 vs 76s

88
VS
76s
81.5%
equity for 88 — 76s takes 18.5%

Overpair against two undercards — about 80/20 for the pair.

88 Win
81.1%
Tie
0.9%
88 Lose
18.0%
Card combinations
24
88 vs random
69.2% · #7
76s vs random
45.5% · #115
Breakdown

Win, tie and loss for 88

Win 81.1%Lose 18.0%

When 88 and 76s get all in before the flop, 88 wins 81.5% of the time and 76s takes 18.5%. Broken down, 88 wins outright 81.1%, chops 0.9% and loses 18.0% — a margin of 63 points. Overpair against two undercards — about 80/20 for the pair.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 80.9% (for example 8s 8h against 7d 6d); with one shared suit it is 82.1% (8s 8h against 7s 6s). That is a spread of 1.22 points across the 24 distinct card combinations, and it comes almost entirely from whether the two hands are fighting over the same flush.

Add a third player holding a random hand and the split becomes 88 55.8%, 76s 16.8%, random 27.4%. 88 gives up 25.8 points and 76s gives up 1.7, so the favourite loses more than the underdog does. Extra players always eat into the leader's share faster than into anyone else's.

Taken on their own, 88 is worth 69.2% against a random hand (rank 7 of 169) and 76s is worth 45.5% (rank 115). The gap between them in the ranking is only 23.7 points, yet head to head the gap is 63 points — a reminder that a ranking table and a direct matchup are two different questions.

Framed as a run of one hundred identical all-ins, 88 scoops roughly 81 pots, splits about one, and loses the remaining 18. Against eight random opponents rather than this one specific hand, 88 would be down to 15.9% and 76s to 13.3%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 76s's side, 18.5% is the break-even point for calling an all-in at 4.41:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 18.5% of the pot you are playing for. 88 holds the other 81.5% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 24 card combinations with five board cards still to come — there is no fold equity in it, so the value of shoving in practice is usually higher than the raw percentage suggests. Second, it assumes 76s really does hold exactly 76s; against the wider range a player would actually get all in with, 88's 81.5% moves. Use the individual pages for 88 and 76s to see how each of them fares against all 168 other holdings before treating this single pairing as the whole picture.

By shared suits

Overlapping suits move the number

200,000 simulated showdowns per condition. The example column shows one concrete four-card layout.

ConditionExampleCombos88 EquityWinTieLose
No shared suit8s 8h vs 7d 6d1280.9%80.5%0.8%18.7%
One shared suit8s 8h vs 7s 6s1282.1%81.6%1.0%17.4%
Three-way

Adding a random third hand

200,000 simulated showdowns, with the third hand dealt at random each time.

88
55.8%
vs heads-up -25.8pt
76s
16.8%
vs heads-up -1.7pt
Random third hand
27.4%
Player count

At a bigger table

Random opponents8876s
169.2%45.5%
250.2%31.9%
429.2%20.7%
815.9%13.3%

Related

FAQ

88 or 76s — which is ahead preflop?

88 is the favourite. 88 takes 81.5% and 76s 18.5%, a margin of 63 points, with 0.9% of hands ending in a chop.

Do the suits change 88 vs 76s?

Yes. With no shared suit it is 80.9%, and with one shared suit it is 82.1% — a swing of up to 1.22 points.

What happens three-way?

With one extra random hand in the pot the split is 88 55.8%, 76s 16.8%, random 27.4%. 88 drops 25.8 points compared with heads-up.

427 words / 34 distinct figures — Method