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TT vs AQo

TT
VS
AQo
57.0%
equity for TT — AQo takes 43.0%

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

TT Win
56.8%
Tie
0.4%
TT Lose
42.8%
Card combinations
72
TT vs random
75.1% · #5
AQo vs random
64.4% · #14
Breakdown

Win, tie and loss for TT

Win 56.8%Lose 42.8%

When TT and AQo get all in before the flop, TT wins 57.0% of the time and AQo takes 43.0%. Broken down, TT wins outright 56.8%, chops 0.4% and loses 42.8% — a margin of 13.9 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 both suits shared the number is 56.4% (for example Ts Th against As Qh); with no shared suit it is 57.5% (Ts Th against Ad Qc). That is a spread of 1.17 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 TT 46.0%, AQo 36.8%, random 17.3%. TT gives up 11 points and AQo gives up 6.3, 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, TT is worth 75.1% against a random hand (rank 5 of 169) and AQo is worth 64.4% (rank 14). The gap between them in the ranking is only 10.7 points, yet head to head the gap is 13.9 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, TT scoops roughly 57 pots, splits about one, and loses the remaining 43. Against eight random opponents rather than this one specific hand, TT would be down to 19.3% and AQo to 17.5%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From AQo's side, 43.0% is the break-even point for calling an all-in at 1.33:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 43.0% of the pot you are playing for. TT holds the other 57.0% 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 AQo really does hold exactly AQo; against the wider range a player would actually get all in with, TT's 57.0% moves. Use the individual pages for TT and AQo 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.

ConditionExampleCombosTT EquityWinTieLose
No shared suitTs Th vs Ad Qc1257.5%57.4%0.3%42.3%
One shared suitTs Th vs As Qd4857.0%56.8%0.4%42.8%
Both suits sharedTs Th vs As Qh1256.4%56.1%0.5%43.4%
Three-way

Adding a random third hand

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

TT
46.0%
vs heads-up -11.0pt
AQo
36.8%
vs heads-up -6.3pt
Random third hand
17.3%
Player count

At a bigger table

Random opponentsTTAQo
175.1%64.4%
257.8%46.9%
436.1%30.3%
819.3%17.5%

Related

FAQ

TT or AQo — which is ahead preflop?

TT is the favourite. TT takes 57.0% and AQo 43.0%, a margin of 13.9 points, with 0.4% of hands ending in a chop.

Do the suits change TT vs AQo?

Yes. With both suits shared it is 56.4%, and with no shared suit it is 57.5% — a swing of up to 1.17 points.

What happens three-way?

With one extra random hand in the pot the split is TT 46.0%, AQo 36.8%, random 17.3%. TT drops 11 points compared with heads-up.

431 words / 28 distinct figures — Method