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AKo vs 72o

AKo
VS
72o
67.5%
equity for AKo — 72o takes 32.5%

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

AKo Win
67.3%
Tie
0.5%
AKo Lose
32.2%
Card combinations
144
AKo vs random
65.4% · #12
72o vs random
34.4% · #165
Breakdown

Win, tie and loss for AKo

Win 67.3%Lose 32.2%

When AKo and 72o get all in before the flop, AKo wins 67.5% of the time and 72o takes 32.5%. Broken down, AKo wins outright 67.3%, chops 0.5% and loses 32.2% — a margin of 35.1 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 no shared suit the number is 66.9% (for example As Kh against 7d 2c); with both suits shared it is 68.1% (As Kh against 7s 2h). That is a spread of 1.2 points across the 144 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 AKo 51.3%, 72o 21.2%, random 27.6%. AKo gives up 16.3 points and 72o gives up 11.3, 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, AKo is worth 65.4% against a random hand (rank 12 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 35.1 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, AKo scoops roughly 67 pots, splits about one, and loses the remaining 32. Against eight random opponents rather than this one specific hand, AKo would be down to 19.1% 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, 32.5% is the break-even point for calling an all-in at 2.08:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 32.5% of the pot you are playing for. AKo holds the other 67.5% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 144 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, AKo's 67.5% moves. Use the individual pages for AKo 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.

ConditionExampleCombosAKo EquityWinTieLose
No shared suitAs Kh vs 7d 2c2466.9%66.7%0.5%32.9%
One shared suitAs Kh vs 7s 2d9667.5%67.3%0.5%32.2%
Both suits sharedAs Kh vs 7s 2h2468.1%67.8%0.6%31.6%
Three-way

Adding a random third hand

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

AKo
51.3%
vs heads-up -16.3pt
72o
21.2%
vs heads-up -11.3pt
Random third hand
27.6%
Player count

At a bigger table

Random opponentsAKo72o
165.4%34.4%
247.9%20.4%
432.4%10.9%
819.1%5.5%

Related

FAQ

AKo or 72o — which is ahead preflop?

AKo is the favourite. AKo takes 67.5% and 72o 32.5%, a margin of 35.1 points, with 0.5% of hands ending in a chop.

Do the suits change AKo vs 72o?

Yes. With no shared suit it is 66.9%, and with both suits shared it is 68.1% — a swing of up to 1.2 points.

What happens three-way?

With one extra random hand in the pot the split is AKo 51.3%, 72o 21.2%, random 27.6%. AKo drops 16.3 points compared with heads-up.

431 words / 33 distinct figures — Method