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AQs vs 72o

AQs
VS
72o
69.5%
equity for AQs — 72o takes 30.4%

Two unpaired hands with no shared rank — the higher cards usually run 60–65%.

AQs Win
69.3%
Tie
0.5%
AQs Lose
30.2%
Card combinations
48
AQs vs random
66.2% · #10
72o vs random
34.4% · #165
Breakdown

Win, tie and loss for AQs

Win 69.3%Lose 30.2%

When AQs and 72o get all in before the flop, AQs wins 69.5% of the time and 72o takes 30.4%. Broken down, AQs wins outright 69.3%, chops 0.5% and loses 30.2% — a margin of 39.1 points. Two unpaired hands with no shared rank — the higher cards usually run 60–65%.

The same matchup shifts depending on how the suits overlap. With one shared suit the number is 69.4% (for example As Qs against 7s 2h); with no shared suit it is 69.7% (As Qs against 7h 2d). That is a spread of 0.31 points across the 48 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 AQs 52.8%, 72o 19.9%, random 27.3%. AQs gives up 16.7 points and 72o gives up 10.6, 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, AQs is worth 66.2% against a random hand (rank 10 of 169) and 72o is worth 34.4% (rank 165). The gap between them in the ranking is only 31.8 points, yet head to head the gap is 39.1 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, AQs scoops roughly 69 pots, splits about one, and loses the remaining 30. Against eight random opponents rather than this one specific hand, AQs would be down to 21.1% and 72o to 5.5%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 72o's side, 30.4% is the break-even point for calling an all-in at 2.28:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 30.5% of the pot you are playing for. AQs holds the other 69.5% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 48 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 72o really does hold exactly 72o; against the wider range a player would actually get all in with, AQs's 69.5% moves. Use the individual pages for AQs and 72o 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.

ConditionExampleCombosAQs EquityWinTieLose
No shared suitAs Qs vs 7h 2d2469.7%69.5%0.5%30.0%
One shared suitAs Qs vs 7s 2h2469.4%69.1%0.6%30.3%
Three-way

Adding a random third hand

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

AQs
52.8%
vs heads-up -16.7pt
72o
19.9%
vs heads-up -10.6pt
Random third hand
27.3%
Player count

At a bigger table

Random opponentsAQs72o
166.2%34.4%
249.7%20.4%
434.0%10.9%
821.1%5.5%

Related

FAQ

AQs or 72o — which is ahead preflop?

AQs is the favourite. AQs takes 69.5% and 72o 30.4%, a margin of 39.1 points, with 0.5% of hands ending in a chop.

Do the suits change AQs vs 72o?

Yes. With one shared suit it is 69.4%, and with no shared suit it is 69.7% — a swing of up to 0.31 points.

What happens three-way?

With one extra random hand in the pot the split is AQs 52.8%, 72o 19.9%, random 27.3%. AQs drops 16.7 points compared with heads-up.

431 words / 34 distinct figures — Method