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AJs vs ATo

AJs
VS
ATo
74.0%
equity for AJs — ATo takes 26.0%

Domination — a shared rank turns this into a kicker fight, and kicker fights are lopsided.

AJs Win
70.1%
Tie
7.7%
AJs Lose
22.2%
Card combinations
36
AJs vs random
65.4% · #11
ATo vs random
62.6% · #19
Breakdown

Win, tie and loss for AJs

Win 70.1%Lose 22.2%

When AJs and ATo get all in before the flop, AJs wins 74.0% of the time and ATo takes 26.0%. Broken down, AJs wins outright 70.1%, chops 7.7% and loses 22.2% — a margin of 47.9 points. Domination — a shared rank turns this into a kicker fight, and kicker fights are lopsided.

The same matchup shifts depending on how the suits overlap. With one shared suit the number is 73.8% (for example As Js against Ah Ts); with no shared suit it is 74.1% (As Js against Ah Td). That is a spread of 0.26 points across the 36 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 AJs 49.1%, ATo 21.4%, random 29.5%. AJs gives up 24.8 points and ATo gives up 4.6, 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, AJs is worth 65.4% against a random hand (rank 11 of 169) and ATo is worth 62.6% (rank 19). The gap between them in the ranking is only 2.8 points, yet head to head the gap is 47.9 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, AJs scoops roughly 70 pots, splits about 8, and loses the remaining 22. Against eight random opponents rather than this one specific hand, AJs would be down to 20.1% and ATo to 15.2%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From ATo's side, 26.0% is the break-even point for calling an all-in at 2.85:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 26.0% of the pot you are playing for. AJs holds the other 74.0% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 36 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 ATo really does hold exactly ATo; against the wider range a player would actually get all in with, AJs's 74.0% moves. Use the individual pages for AJs and ATo 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.

ConditionExampleCombosAJs EquityWinTieLose
No shared suitAs Js vs Ah Td2474.1%70.2%7.7%22.1%
One shared suitAs Js vs Ah Ts1273.8%69.9%7.8%22.3%
Three-way

Adding a random third hand

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

AJs
49.1%
vs heads-up -24.8pt
ATo
21.4%
vs heads-up -4.6pt
Random third hand
29.5%
Player count

At a bigger table

Random opponentsAJsATo
165.4%62.6%
248.0%44.4%
432.2%27.8%
820.1%15.2%

Related

FAQ

AJs or ATo — which is ahead preflop?

AJs is the favourite. AJs takes 74.0% and ATo 26.0%, a margin of 47.9 points, with 7.7% of hands ending in a chop.

Do the suits change AJs vs ATo?

Yes. With one shared suit it is 73.8%, and with no shared suit it is 74.1% — a swing of up to 0.26 points.

What happens three-way?

With one extra random hand in the pot the split is AJs 49.1%, ATo 21.4%, random 29.5%. AJs drops 24.8 points compared with heads-up.

433 words / 29 distinct figures — Method