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22 vs 87s

22
VS
87s
46.6%
equity for 22 — 87s takes 53.4%

Pair against two overcards — the classic coinflip, with the pair a shade ahead.

22 Win
45.4%
Tie
2.4%
22 Lose
52.2%
Card combinations
24
22 vs random
50.2% · #88
87s vs random
47.9% · #101
Breakdown

Win, tie and loss for 22

Win 45.4%Lose 52.2%

When 22 and 87s get all in before the flop, 22 wins 46.6% of the time and 87s takes 53.4%. Broken down, 22 wins outright 45.4%, chops 2.4% and loses 52.2% — a margin of -6.8 points. Pair against two overcards — the classic coinflip, with the pair a shade ahead.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 46.5% (for example 2s 2h against 8d 7d); with one shared suit it is 46.8% (2s 2h against 8s 7s). That is a spread of 0.29 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 22 29.3%, 87s 38.0%, random 32.7%. 22 gives up 17.3 points and 87s gives up 15.4, 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, 22 is worth 50.2% against a random hand (rank 88 of 169) and 87s is worth 47.9% (rank 101). The gap between them in the ranking is only 2.3 points, yet head to head the gap is 6.8 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, 22 scoops roughly 45 pots, splits about 2, and loses the remaining 52. Against eight random opponents rather than this one specific hand, 22 would be down to 12.5% 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, 53.4% is the break-even point for calling an all-in at 0.87:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 53.4% of the pot you are playing for. 22 holds the other 46.6% 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, 22's 46.6% moves. Use the individual pages for 22 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.

ConditionExampleCombos22 EquityWinTieLose
No shared suit2s 2h vs 8d 7d1246.5%45.3%2.3%52.4%
One shared suit2s 2h vs 8s 7s1246.8%45.5%2.4%52.0%
Three-way

Adding a random third hand

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

22
29.3%
vs heads-up -17.3pt
87s
38.0%
vs heads-up -15.4pt
Random third hand
32.7%
Player count

At a bigger table

Random opponents2287s
150.2%47.9%
230.2%33.7%
417.8%22.4%
812.5%14.0%

Related

FAQ

22 or 87s — which is ahead preflop?

87s is the favourite. 22 takes 46.6% and 87s 53.4%, a margin of 6.8 points, with 2.4% of hands ending in a chop.

Do the suits change 22 vs 87s?

Yes. With no shared suit it is 46.5%, and with one shared suit it is 46.8% — a swing of up to 0.29 points.

What happens three-way?

With one extra random hand in the pot the split is 22 29.3%, 87s 38.0%, random 32.7%. 22 drops 17.3 points compared with heads-up.

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