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AKo vs 76s

AKo
VS
76s
58.4%
equity for AKo — 76s takes 41.6%

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

AKo Win
58.1%
Tie
0.4%
AKo Lose
41.4%
Card combinations
48
AKo vs random
65.4% · #12
76s vs random
45.5% · #115
Breakdown

Win, tie and loss for AKo

Win 58.1%Lose 41.4%

When AKo and 76s get all in before the flop, AKo wins 58.4% of the time and 76s takes 41.6%. Broken down, AKo wins outright 58.1%, chops 0.4% and loses 41.4% — a margin of 16.7 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 57.6% (for example As Kh against 7d 6d); with one shared suit it is 59.1% (As Kh against 7s 6s). That is a spread of 1.47 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 45.4%, 76s 32.1%, random 22.5%. AKo gives up 12.9 points and 76s gives up 9.6, 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 76s is worth 45.5% (rank 115). The gap between them in the ranking is only 19.9 points, yet head to head the gap is 16.7 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 76s to 13.3%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 76s's side, 41.6% is the break-even point for calling an all-in at 1.4:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 41.6% of the pot you are playing for. AKo holds the other 58.4% 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 76s really does hold exactly 76s; against the wider range a player would actually get all in with, AKo's 58.4% moves. Use the individual pages for AKo and 76s 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 6d2457.6%57.4%0.4%42.2%
One shared suitAs Kh vs 7s 6s2459.1%58.9%0.5%40.7%
Three-way

Adding a random third hand

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

AKo
45.4%
vs heads-up -12.9pt
76s
32.1%
vs heads-up -9.6pt
Random third hand
22.5%
Player count

At a bigger table

Random opponentsAKo76s
165.4%45.5%
247.9%31.9%
432.4%20.7%
819.1%13.3%

Related

FAQ

AKo or 76s — which is ahead preflop?

AKo is the favourite. AKo takes 58.4% and 76s 41.6%, a margin of 16.7 points, with 0.4% of hands ending in a chop.

Do the suits change AKo vs 76s?

Yes. With no shared suit it is 57.6%, and with one shared suit it is 59.1% — a swing of up to 1.47 points.

What happens three-way?

With one extra random hand in the pot the split is AKo 45.4%, 76s 32.1%, random 22.5%. AKo drops 12.9 points compared with heads-up.

424 words / 33 distinct figures — Method