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88 vs 54s

88
VS
54s
78.7%
equity for 88 — 54s takes 21.3%

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

88 Win
78.3%
Tie
1.0%
88 Lose
20.8%
Card combinations
24
88 vs random
69.2% · #7
54s vs random
41.4% · #138
Breakdown

Win, tie and loss for 88

Win 78.3%Lose 20.8%

When 88 and 54s get all in before the flop, 88 wins 78.7% of the time and 54s takes 21.3%. Broken down, 88 wins outright 78.3%, chops 1.0% and loses 20.8% — a margin of 57.5 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 78.2% (for example 8s 8h against 5d 4d); with one shared suit it is 79.3% (8s 8h against 5s 4s). That is a spread of 1.16 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 54.4%, 54s 19.2%, random 26.3%. 88 gives up 24.3 points and 54s gives up 2, 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 54s is worth 41.4% (rank 138). The gap between them in the ranking is only 27.8 points, yet head to head the gap is 57.5 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 78 pots, splits about one, and loses the remaining 21. Against eight random opponents rather than this one specific hand, 88 would be down to 15.9% and 54s to 12.6%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 54s's side, 21.3% is the break-even point for calling an all-in at 3.69:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 21.3% of the pot you are playing for. 88 holds the other 78.7% 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 54s really does hold exactly 54s; against the wider range a player would actually get all in with, 88's 78.7% moves. Use the individual pages for 88 and 54s 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 5d 4d1278.2%77.7%0.9%21.4%
One shared suit8s 8h vs 5s 4s1279.3%78.8%1.0%20.2%
Three-way

Adding a random third hand

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

88
54.4%
vs heads-up -24.3pt
54s
19.2%
vs heads-up -2.0pt
Random third hand
26.3%
Player count

At a bigger table

Random opponents8854s
169.2%41.4%
250.2%28.9%
429.2%19.0%
815.9%12.6%

Related

FAQ

88 or 54s — which is ahead preflop?

88 is the favourite. 88 takes 78.7% and 54s 21.3%, a margin of 57.5 points, with 1.0% of hands ending in a chop.

Do the suits change 88 vs 54s?

Yes. With no shared suit it is 78.2%, and with one shared suit it is 79.3% — a swing of up to 1.16 points.

What happens three-way?

With one extra random hand in the pot the split is 88 54.4%, 54s 19.2%, random 26.3%. 88 drops 24.3 points compared with heads-up.

427 words / 35 distinct figures — Method