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AA vs AJs

AA
VS
AJs
87.0%
equity for AA — AJs takes 13.0%

Pair against one overcard — roughly 70/30 in the pair's favour.

AA Win
86.4%
Tie
1.2%
AA Lose
12.3%
Card combinations
12
AA vs random
85.2% · #1
AJs vs random
65.4% · #11
Breakdown

Win, tie and loss for AA

Win 86.4%Lose 12.3%

When AA and AJs get all in before the flop, AA wins 87.0% of the time and AJs takes 13.0%. Broken down, AA wins outright 86.4%, chops 1.2% and loses 12.3% — a margin of 74.1 points. Pair against one overcard — roughly 70/30 in the pair's favour.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 87.0% (for example As Ah against Ad Jd); with no shared suit it is 87.0% (As Ah against Ad Jd). That is a spread of 0 points across the 12 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 AA 73.6%, AJs 12.5%, random 13.9%. AA gives up 13.4 points and AJs gives up 0.5, 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, AA is worth 85.2% against a random hand (rank 1 of 169) and AJs is worth 65.4% (rank 11). The gap between them in the ranking is only 19.8 points, yet head to head the gap is 74.1 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, AA scoops roughly 86 pots, splits about 1, and loses the remaining 12. Against eight random opponents rather than this one specific hand, AA would be down to 34.5% and AJs to 20.1%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From AJs's side, 13.0% is the break-even point for calling an all-in at 6.69:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 13.0% of the pot you are playing for. AA holds the other 87.0% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 12 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 AJs really does hold exactly AJs; against the wider range a player would actually get all in with, AA's 87.0% moves. Use the individual pages for AA and AJs 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.

ConditionExampleCombosAA EquityWinTieLose
No shared suitAs Ah vs Ad Jd1287.0%86.4%1.2%12.3%
Three-way

Adding a random third hand

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

AA
73.6%
vs heads-up -13.4pt
AJs
12.5%
vs heads-up -0.5pt
Random third hand
13.9%
Player count

At a bigger table

Random opponentsAAAJs
185.2%65.4%
273.5%48.0%
455.9%32.2%
834.5%20.1%

Related

FAQ

AA or AJs — which is ahead preflop?

AA is the favourite. AA takes 87.0% and AJs 13.0%, a margin of 74.1 points, with 1.2% of hands ending in a chop.

Do the suits change AA vs AJs?

Yes. With no shared suit it is 87.0%, and with no shared suit it is 87.0% — a swing of up to 0 points.

What happens three-way?

With one extra random hand in the pot the split is AA 73.6%, AJs 12.5%, random 13.9%. AA drops 13.4 points compared with heads-up.

428 words / 26 distinct figures — Method