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QQ vs AJo

QQ
VS
AJo
71.6%
equity for QQ — AJo takes 28.4%

Pair against one overcard — roughly 70/30 in the pair's favour.

QQ Win
71.4%
Tie
0.4%
QQ Lose
28.2%
Card combinations
72
QQ vs random
79.9% · #3
AJo vs random
63.6% · #15
Breakdown

Win, tie and loss for QQ

Win 71.4%Lose 28.2%

When QQ and AJo get all in before the flop, QQ wins 71.6% of the time and AJo takes 28.4%. Broken down, QQ wins outright 71.4%, chops 0.4% and loses 28.2% — a margin of 43.1 points. Pair against one overcard — roughly 70/30 in the pair's favour.

The same matchup shifts depending on how the suits overlap. With one shared suit the number is 71.5% (for example Qs Qh against As Jd); with both suits shared it is 71.8% (Qs Qh against As Jh). That is a spread of 0.24 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 59.5%, AJo 24.7%, random 15.8%. QQ gives up 12.1 points and AJo gives up 3.8, 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, QQ is worth 79.9% against a random hand (rank 3 of 169) and AJo is worth 63.6% (rank 15). The gap between them in the ranking is only 16.3 points, yet head to head the gap is 43.1 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 71 pots, splits about one, and loses the remaining 28. Against eight random opponents rather than this one specific hand, QQ would be down to 24.5% and AJo to 16.1%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From AJo's side, 28.4% is the break-even point for calling an all-in at 2.52:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 28.4% of the pot you are playing for. QQ holds the other 71.6% 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 AJo really does hold exactly AJo; against the wider range a player would actually get all in with, QQ's 71.6% moves. Use the individual pages for QQ and AJo 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 Ad Jc1271.6%71.4%0.3%28.3%
One shared suitQs Qh vs As Jd4871.5%71.3%0.4%28.3%
Both suits sharedQs Qh vs As Jh1271.8%71.5%0.5%28.0%
Three-way

Adding a random third hand

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

QQ
59.5%
vs heads-up -12.1pt
AJo
24.7%
vs heads-up -3.8pt
Random third hand
15.8%
Player count

At a bigger table

Random opponentsQQAJo
179.9%63.6%
265.0%45.4%
444.9%28.7%
824.5%16.1%

Related

FAQ

QQ or AJo — which is ahead preflop?

QQ is the favourite. QQ takes 71.6% and AJo 28.4%, a margin of 43.1 points, with 0.4% of hands ending in a chop.

Do the suits change QQ vs AJo?

Yes. With one shared suit it is 71.5%, and with both suits shared it is 71.8% — a swing of up to 0.24 points.

What happens three-way?

With one extra random hand in the pot the split is QQ 59.5%, AJo 24.7%, random 15.8%. QQ drops 12.1 points compared with heads-up.

428 words / 30 distinct figures — Method