AJo vs ATo
Domination — a shared rank turns this into a kicker fight, and kicker fights are lopsided.
- AJo Win
- 68.7%
- Tie
- 8.0%
- AJo Lose
- 23.3%
- Card combinations
- 108
- AJo vs random
- 63.6% · #15
- ATo vs random
- 62.6% · #19
Win, tie and loss for AJo
When AJo and ATo get all in before the flop, AJo wins 72.7% of the time and ATo takes 27.3%. Broken down, AJo wins outright 68.7%, chops 8.0% and loses 23.3% — a margin of 45.5 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 no shared suit the number is 72.5% (for example As Jh against Ad Tc); with both suits shared it is 73.0% (As Jh against Ah Ts). That is a spread of 0.54 points across the 108 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 AJo 46.1%, ATo 22.4%, random 31.5%. AJo gives up 26.6 points and ATo gives up 4.9, 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, AJo is worth 63.6% against a random hand (rank 15 of 169) and ATo is worth 62.6% (rank 19). The gap between them in the ranking is only 1 points, yet head to head the gap is 45.5 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, AJo scoops roughly 69 pots, splits about 8, and loses the remaining 23. Against eight random opponents rather than this one specific hand, AJo would be down to 16.1% 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, 27.3% is the break-even point for calling an all-in at 2.66:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 27.3% of the pot you are playing for. AJo holds the other 72.7% of that same pot.
Two caveats keep this figure honest. First, it is showdown equity across all 108 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, AJo's 72.7% moves. Use the individual pages for AJo and ATo to see how each of them fares against all 168 other holdings before treating this single pairing as the whole picture.
Overlapping suits move the number
200,000 simulated showdowns per condition. The example column shows one concrete four-card layout.
| Condition | Example | Combos | AJo Equity | Win | Tie | Lose |
|---|---|---|---|---|---|---|
| No shared suit | As Jh vs Ad Tc | 24 | 72.5% | 68.5% | 8.0% | 23.5% |
| One shared suit | As Jh vs Ah Td | 72 | 72.8% | 68.7% | 8.0% | 23.2% |
| Both suits shared | As Jh vs Ah Ts | 12 | 73.0% | 69.0% | 8.1% | 22.9% |
Adding a random third hand
200,000 simulated showdowns, with the third hand dealt at random each time.
At a bigger table
| Random opponents | AJo | ATo |
|---|---|---|
| 1 | 63.6% | 62.6% |
| 2 | 45.4% | 44.4% |
| 4 | 28.7% | 27.8% |
| 8 | 16.1% | 15.2% |
Related
FAQ
AJo or ATo — which is ahead preflop?
AJo is the favourite. AJo takes 72.7% and ATo 27.3%, a margin of 45.5 points, with 8.0% of hands ending in a chop.
Do the suits change AJo vs ATo?
Yes. With no shared suit it is 72.5%, and with both suits shared it is 73.0% — a swing of up to 0.54 points.
What happens three-way?
With one extra random hand in the pot the split is AJo 46.1%, ATo 22.4%, random 31.5%. AJo drops 26.6 points compared with heads-up.
433 words / 28 distinct figures — Method
