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AKo vs 87s

AKo
VS
87s
58.8%
equity for AKo — 87s takes 41.2%

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

AKo Win
58.6%
Tie
0.4%
AKo Lose
41.0%
Card combinations
48
AKo vs random
65.4% · #12
87s vs random
47.9% · #101
Breakdown

Win, tie and loss for AKo

Win 58.6%Lose 41.0%

When AKo and 87s get all in before the flop, AKo wins 58.8% of the time and 87s takes 41.2%. Broken down, AKo wins outright 58.6%, chops 0.4% and loses 41.0% — a margin of 17.7 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 no shared suit the number is 58.1% (for example As Kh against 8d 7d); with one shared suit it is 59.5% (As Kh against 8s 7s). That is a spread of 1.43 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 45.5%, 87s 32.8%, random 21.7%. AKo gives up 13.3 points and 87s gives up 8.3, 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 87s is worth 47.9% (rank 101). The gap between them in the ranking is only 17.5 points, yet head to head the gap is 17.7 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, AKo scoops roughly 59 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 87s to 14.0%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 87s's side, 41.2% is the break-even point for calling an all-in at 1.43:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 41.2% of the pot you are playing for. AKo holds the other 58.8% 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 87s really does hold exactly 87s; against the wider range a player would actually get all in with, AKo's 58.8% moves. Use the individual pages for AKo and 87s 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 8d 7d2458.1%57.9%0.4%41.7%
One shared suitAs Kh vs 8s 7s2459.5%59.3%0.5%40.2%
Three-way

Adding a random third hand

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

AKo
45.5%
vs heads-up -13.3pt
87s
32.8%
vs heads-up -8.3pt
Random third hand
21.7%
Player count

At a bigger table

Random opponentsAKo87s
165.4%47.9%
247.9%33.7%
432.4%22.4%
819.1%14.0%

Related

FAQ

AKo or 87s — which is ahead preflop?

AKo is the favourite. AKo takes 58.8% and 87s 41.2%, a margin of 17.7 points, with 0.4% of hands ending in a chop.

Do the suits change AKo vs 87s?

Yes. With no shared suit it is 58.1%, and with one shared suit it is 59.5% — a swing of up to 1.43 points.

What happens three-way?

With one extra random hand in the pot the split is AKo 45.5%, 87s 32.8%, random 21.7%. AKo drops 13.3 points compared with heads-up.

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