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AKo vs 54s

AKo
VS
54s
58.6%
equity for AKo — 54s takes 41.4%

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

AKo Win
58.3%
Tie
0.5%
AKo Lose
41.1%
Card combinations
48
AKo vs random
65.4% · #12
54s vs random
41.4% · #138
Breakdown

Win, tie and loss for AKo

Win 58.3%Lose 41.1%

When AKo and 54s get all in before the flop, AKo wins 58.6% of the time and 54s takes 41.4%. Broken down, AKo wins outright 58.3%, chops 0.5% and loses 41.1% — a margin of 17.2 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 57.8% (for example As Kh against 5d 4d); with one shared suit it is 59.4% (As Kh against 5s 4s). That is a spread of 1.53 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 AKo 44.6%, 54s 30.5%, random 24.9%. AKo gives up 14 points and 54s gives up 10.9, 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 54s is worth 41.4% (rank 138). The gap between them in the ranking is only 24 points, yet head to head the gap is 17.2 points, which is roughly what the ranking table predicts.

Framed as a run of one hundred identical all-ins, AKo scoops roughly 58 pots, splits about one, and loses the remaining 41. Against eight random opponents rather than this one specific hand, AKo would be down to 19.1% and 54s to 12.6%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 54s's side, 41.4% is the break-even point for calling an all-in at 1.42:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 41.4% of the pot you are playing for. AKo holds the other 58.6% 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 54s really does hold exactly 54s; against the wider range a player would actually get all in with, AKo's 58.6% moves. Use the individual pages for AKo and 54s 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 5d 4d2457.8%57.6%0.5%41.9%
One shared suitAs Kh vs 5s 4s2459.4%59.1%0.6%40.4%
Three-way

Adding a random third hand

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

AKo
44.6%
vs heads-up -14.0pt
54s
30.5%
vs heads-up -10.9pt
Random third hand
24.9%
Player count

At a bigger table

Random opponentsAKo54s
165.4%41.4%
247.9%28.9%
432.4%19.0%
819.1%12.6%

Related

FAQ

AKo or 54s — which is ahead preflop?

AKo is the favourite. AKo takes 58.6% and 54s 41.4%, a margin of 17.2 points, with 0.5% of hands ending in a chop.

Do the suits change AKo vs 54s?

Yes. With no shared suit it is 57.8%, and with one shared suit it is 59.4% — a swing of up to 1.53 points.

What happens three-way?

With one extra random hand in the pot the split is AKo 44.6%, 54s 30.5%, random 24.9%. AKo drops 14 points compared with heads-up.

424 words / 32 distinct figures — Method