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AJs vs 72o

AJs
VS
72o
69.3%
equity for AJs — 72o takes 30.7%

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

AJs Win
69.1%
Tie
0.5%
AJs Lose
30.4%
Card combinations
48
AJs vs random
65.4% · #11
72o vs random
34.4% · #165
Breakdown

Win, tie and loss for AJs

Win 69.1%Lose 30.4%

When AJs and 72o get all in before the flop, AJs wins 69.3% of the time and 72o takes 30.7%. Broken down, AJs wins outright 69.1%, chops 0.5% and loses 30.4% — a margin of 38.7 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 69.0% (for example As Js against 7s 2h); with no shared suit it is 69.6% (As Js against 7h 2d). That is a spread of 0.55 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 AJs 52.1%, 72o 20.2%, random 27.7%. AJs gives up 17.2 points and 72o gives up 10.5, 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, AJs is worth 65.4% against a random hand (rank 11 of 169) and 72o is worth 34.4% (rank 165). The gap between them in the ranking is only 31 points, yet head to head the gap is 38.7 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, AJs scoops roughly 69 pots, splits about one, and loses the remaining 30. Against eight random opponents rather than this one specific hand, AJs would be down to 20.1% 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, 30.7% is the break-even point for calling an all-in at 2.26:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 30.7% of the pot you are playing for. AJs holds the other 69.3% 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, AJs's 69.3% moves. Use the individual pages for AJs 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.

ConditionExampleCombosAJs EquityWinTieLose
No shared suitAs Js vs 7h 2d2469.6%69.4%0.5%30.2%
One shared suitAs Js vs 7s 2h2469.0%68.8%0.6%30.7%
Three-way

Adding a random third hand

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

AJs
52.1%
vs heads-up -17.2pt
72o
20.2%
vs heads-up -10.5pt
Random third hand
27.7%
Player count

At a bigger table

Random opponentsAJs72o
165.4%34.4%
248.0%20.4%
432.2%10.9%
820.1%5.5%

Related

FAQ

AJs or 72o — which is ahead preflop?

AJs is the favourite. AJs takes 69.3% and 72o 30.7%, a margin of 38.7 points, with 0.5% of hands ending in a chop.

Do the suits change AJs vs 72o?

Yes. With one shared suit it is 69.0%, and with no shared suit it is 69.6% — a swing of up to 0.55 points.

What happens three-way?

With one extra random hand in the pot the split is AJs 52.1%, 72o 20.2%, random 27.7%. AJs drops 17.2 points compared with heads-up.

431 words / 33 distinct figures — Method