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AKo vs A5s

AKo
VS
A5s
68.5%
equity for AKo — A5s takes 31.6%

Domination — a shared rank turns this into a kicker fight, and kicker fights are lopsided.

AKo Win
66.2%
Tie
4.5%
AKo Lose
29.3%
Card combinations
36
AKo vs random
65.4% · #12
A5s vs random
59.8% · #32
Breakdown

Win, tie and loss for AKo

Win 66.2%Lose 29.3%

When AKo and A5s get all in before the flop, AKo wins 68.5% of the time and A5s takes 31.6%. Broken down, AKo wins outright 66.2%, chops 4.5% and loses 29.3% — a margin of 36.9 points. Domination — a shared rank turns this into a kicker fight, and kicker fights are lopsided.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 68.0% (for example As Kh against Ad 5d); with one shared suit it is 69.3% (As Kh against Ah 5h). That is a spread of 1.36 points across the 36 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 46.9%, A5s 23.6%, random 29.4%. AKo gives up 21.5 points and A5s gives up 7.9, 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 A5s is worth 59.8% (rank 32). The gap between them in the ranking is only 5.6 points, yet head to head the gap is 36.9 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 66 pots, splits about 5, and loses the remaining 29. Against eight random opponents rather than this one specific hand, AKo would be down to 19.1% and A5s to 15.6%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From A5s's side, 31.6% is the break-even point for calling an all-in at 2.16:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 31.6% of the pot you are playing for. AKo holds the other 68.5% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 36 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 A5s really does hold exactly A5s; against the wider range a player would actually get all in with, AKo's 68.5% moves. Use the individual pages for AKo and A5s 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 Ad 5d2468.0%65.7%4.5%29.8%
One shared suitAs Kh vs Ah 5h1269.3%67.1%4.6%28.4%
Three-way

Adding a random third hand

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

AKo
46.9%
vs heads-up -21.5pt
A5s
23.6%
vs heads-up -7.9pt
Random third hand
29.4%
Player count

At a bigger table

Random opponentsAKoA5s
165.4%59.8%
247.9%41.3%
432.4%25.7%
819.1%15.6%

Related

FAQ

AKo or A5s — which is ahead preflop?

AKo is the favourite. AKo takes 68.5% and A5s 31.6%, a margin of 36.9 points, with 4.5% of hands ending in a chop.

Do the suits change AKo vs A5s?

Yes. With no shared suit it is 68.0%, and with one shared suit it is 69.3% — a swing of up to 1.36 points.

What happens three-way?

With one extra random hand in the pot the split is AKo 46.9%, A5s 23.6%, random 29.4%. AKo drops 21.5 points compared with heads-up.

433 words / 29 distinct figures — Method