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JJ vs 87s

JJ
VS
87s
78.9%
equity for JJ — 87s takes 21.1%

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

JJ Win
78.7%
Tie
0.4%
JJ Lose
20.9%
Card combinations
24
JJ vs random
77.5% · #4
87s vs random
47.9% · #101
Breakdown

Win, tie and loss for JJ

Win 78.7%Lose 20.9%

When JJ and 87s get all in before the flop, JJ wins 78.9% of the time and 87s takes 21.1%. Broken down, JJ wins outright 78.7%, chops 0.4% and loses 20.9% — a margin of 57.9 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 78.5% (for example Js Jh against 8d 7d); with one shared suit it is 79.4% (Js Jh against 8s 7s). That is a spread of 0.83 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 JJ 61.8%, 87s 19.3%, random 18.9%. JJ gives up 17.2 points and 87s gives up 1.8, 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, JJ is worth 77.5% against a random hand (rank 4 of 169) and 87s is worth 47.9% (rank 101). The gap between them in the ranking is only 29.6 points, yet head to head the gap is 57.9 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, JJ scoops roughly 79 pots, splits about one, and loses the remaining 21. Against eight random opponents rather than this one specific hand, JJ would be down to 21.7% and 87s to 14.0%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 87s's side, 21.1% is the break-even point for calling an all-in at 3.74:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 21.1% of the pot you are playing for. JJ holds the other 78.9% 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 87s really does hold exactly 87s; against the wider range a player would actually get all in with, JJ's 78.9% moves. Use the individual pages for JJ and 87s 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.

ConditionExampleCombosJJ EquityWinTieLose
No shared suitJs Jh vs 8d 7d1278.5%78.3%0.3%21.3%
One shared suitJs Jh vs 8s 7s1279.4%79.1%0.5%20.4%
Three-way

Adding a random third hand

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

JJ
61.8%
vs heads-up -17.2pt
87s
19.3%
vs heads-up -1.8pt
Random third hand
18.9%
Player count

At a bigger table

Random opponentsJJ87s
177.5%47.9%
261.4%33.7%
440.2%22.4%
821.7%14.0%

Related

FAQ

JJ or 87s — which is ahead preflop?

JJ is the favourite. JJ takes 78.9% and 87s 21.1%, a margin of 57.9 points, with 0.4% of hands ending in a chop.

Do the suits change JJ vs 87s?

Yes. With no shared suit it is 78.5%, and with one shared suit it is 79.4% — a swing of up to 0.83 points.

What happens three-way?

With one extra random hand in the pot the split is JJ 61.8%, 87s 19.3%, random 18.9%. JJ drops 17.2 points compared with heads-up.

427 words / 33 distinct figures — Method