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AQo vs 66

AQo
VS
66
45.5%
equity for AQo — 66 takes 54.5%

Pair against two overcards — the classic coinflip, with the pair a shade ahead.

AQo Win
45.3%
Tie
0.4%
AQo Lose
54.4%
Card combinations
72
AQo vs random
64.4% · #14
66 vs random
63.3% · #17
Breakdown

Win, tie and loss for AQo

Win 45.3%Lose 54.4%

When AQo and 66 get all in before the flop, AQo wins 45.5% of the time and 66 takes 54.5%. Broken down, AQo wins outright 45.3%, chops 0.4% and loses 54.4% — a margin of -9.1 points. Pair against two overcards — the classic coinflip, with the pair a shade ahead.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 44.9% (for example As Qh against 6d 6c); with both suits shared it is 45.7% (As Qh against 6s 6h). That is a spread of 0.83 points across the 72 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 AQo 38.5%, 66 39.8%, random 21.7%. AQo gives up 6.9 points and 66 gives up 14.8, so the underdog loses more than the favourite does. Extra players always eat into the leader's share faster than into anyone else's.

Taken on their own, AQo is worth 64.4% against a random hand (rank 14 of 169) and 66 is worth 63.3% (rank 17). The gap between them in the ranking is only 1.1 points, yet head to head the gap is 9.1 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, AQo scoops roughly 45 pots, splits about one, and loses the remaining 54. Against eight random opponents rather than this one specific hand, AQo would be down to 17.5% and 66 to 13.7%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 66's side, 54.5% is the break-even point for calling an all-in at 0.83:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 54.6% of the pot you are playing for. AQo holds the other 45.5% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 72 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 66 really does hold exactly 66; against the wider range a player would actually get all in with, AQo's 45.5% moves. Use the individual pages for AQo and 66 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.

ConditionExampleCombosAQo EquityWinTieLose
No shared suitAs Qh vs 6d 6c1244.9%44.7%0.3%55.0%
One shared suitAs Qh vs 6s 6d4845.5%45.3%0.4%54.3%
Both suits sharedAs Qh vs 6s 6h1245.7%45.5%0.5%54.1%
Three-way

Adding a random third hand

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

AQo
38.5%
vs heads-up -6.9pt
66
39.8%
vs heads-up -14.8pt
Random third hand
21.7%
Player count

At a bigger table

Random opponentsAQo66
164.4%63.3%
246.9%43.0%
430.3%24.7%
817.5%13.7%

Related

FAQ

AQo or 66 — which is ahead preflop?

66 is the favourite. AQo takes 45.5% and 66 54.5%, a margin of 9.1 points, with 0.4% of hands ending in a chop.

Do the suits change AQo vs 66?

Yes. With no shared suit it is 44.9%, and with both suits shared it is 45.7% — a swing of up to 0.83 points.

What happens three-way?

With one extra random hand in the pot the split is AQo 38.5%, 66 39.8%, random 21.7%. AQo drops 6.9 points compared with heads-up.

431 words / 30 distinct figures — Method