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QQ vs 32o

QQ
VS
32o
85.7%
equity for QQ — 32o takes 14.3%

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

QQ Win
85.4%
Tie
0.5%
QQ Lose
14.1%
Card combinations
72
QQ vs random
79.9% · #3
32o vs random
32.3% · #169
Breakdown

Win, tie and loss for QQ

Win 85.4%Lose 14.1%

When QQ and 32o get all in before the flop, QQ wins 85.7% of the time and 32o takes 14.3%. Broken down, QQ wins outright 85.4%, chops 0.5% and loses 14.1% — a margin of 71.4 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 85.0% (for example Qs Qh against 3d 2c); with both suits shared it is 86.5% (Qs Qh against 3s 2h). That is a spread of 1.48 points across the 72 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 QQ 69.0%, 32o 12.3%, random 18.7%. QQ gives up 16.7 points and 32o gives up 2.1, 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, QQ is worth 79.9% against a random hand (rank 3 of 169) and 32o is worth 32.3% (rank 169). The gap between them in the ranking is only 47.6 points, yet head to head the gap is 71.4 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, QQ scoops roughly 85 pots, splits about one, and loses the remaining 14. Against eight random opponents rather than this one specific hand, QQ would be down to 24.5% and 32o to 6.2%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 32o's side, 14.3% is the break-even point for calling an all-in at 5.99:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 14.3% of the pot you are playing for. QQ holds the other 85.7% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 72 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 32o really does hold exactly 32o; against the wider range a player would actually get all in with, QQ's 85.7% moves. Use the individual pages for QQ and 32o 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.

ConditionExampleCombosQQ EquityWinTieLose
No shared suitQs Qh vs 3d 2c1285.0%84.8%0.5%14.8%
One shared suitQs Qh vs 3s 2d4885.7%85.4%0.5%14.1%
Both suits sharedQs Qh vs 3s 2h1286.5%86.2%0.5%13.3%
Three-way

Adding a random third hand

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

QQ
69.0%
vs heads-up -16.7pt
32o
12.3%
vs heads-up -2.1pt
Random third hand
18.7%
Player count

At a bigger table

Random opponentsQQ32o
179.9%32.3%
265.0%19.3%
444.9%11.1%
824.5%6.2%

Related

FAQ

QQ or 32o — which is ahead preflop?

QQ is the favourite. QQ takes 85.7% and 32o 14.3%, a margin of 71.4 points, with 0.5% of hands ending in a chop.

Do the suits change QQ vs 32o?

Yes. With no shared suit it is 85.0%, and with both suits shared it is 86.5% — a swing of up to 1.48 points.

What happens three-way?

With one extra random hand in the pot the split is QQ 69.0%, 32o 12.3%, random 18.7%. QQ drops 16.7 points compared with heads-up.

427 words / 31 distinct figures — Method