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33 vs 22

33
VS
22
80.5%
equity for 33 — 22 takes 19.6%

Pair over pair — the higher pair is roughly an 80/20 favourite.

33 Win
78.0%
Tie
5.0%
33 Lose
17.1%
Card combinations
36
33 vs random
53.7% · #67
22 vs random
50.2% · #88
Breakdown

Win, tie and loss for 33

Win 78.0%Lose 17.1%

When 33 and 22 get all in before the flop, 33 wins 80.5% of the time and 22 takes 19.6%. Broken down, 33 wins outright 78.0%, chops 5.0% and loses 17.1% — a margin of 60.9 points. Pair over pair — the higher pair is roughly an 80/20 favourite.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 79.8% (for example 3s 3h against 2d 2c); with both suits shared it is 81.0% (3s 3h against 2s 2h). That is a spread of 1.29 points across the 36 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 33 42.6%, 22 16.4%, random 41.1%. 33 gives up 37.9 points and 22 gives up 3.2, 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, 33 is worth 53.7% against a random hand (rank 67 of 169) and 22 is worth 50.2% (rank 88). The gap between them in the ranking is only 3.5 points, yet head to head the gap is 60.9 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, 33 scoops roughly 78 pots, splits about 5, and loses the remaining 17. Against eight random opponents rather than this one specific hand, 33 would be down to 12.8% and 22 to 12.5%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 22's side, 19.6% is the break-even point for calling an all-in at 4.13:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 19.5% of the pot you are playing for. 33 holds the other 80.5% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 36 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 22 really does hold exactly 22; against the wider range a player would actually get all in with, 33's 80.5% moves. Use the individual pages for 33 and 22 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.

ConditionExampleCombos33 EquityWinTieLose
No shared suit3s 3h vs 2d 2c679.8%77.3%4.9%17.8%
One shared suit3s 3h vs 2s 2d2480.5%78.0%5.0%17.1%
Both suits shared3s 3h vs 2s 2h681.0%78.5%5.0%16.4%
Three-way

Adding a random third hand

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

33
42.6%
vs heads-up -37.9pt
22
16.4%
vs heads-up -3.2pt
Random third hand
41.1%
Player count

At a bigger table

Random opponents3322
153.7%50.2%
233.1%30.2%
419.1%17.8%
812.8%12.5%

Related

FAQ

33 or 22 — which is ahead preflop?

33 is the favourite. 33 takes 80.5% and 22 19.6%, a margin of 60.9 points, with 5.0% of hands ending in a chop.

Do the suits change 33 vs 22?

Yes. With no shared suit it is 79.8%, and with both suits shared it is 81.0% — a swing of up to 1.29 points.

What happens three-way?

With one extra random hand in the pot the split is 33 42.6%, 22 16.4%, random 41.1%. 33 drops 37.9 points compared with heads-up.

429 words / 36 distinct figures — Method