AJo vs KQo
Two unpaired hands with no shared rank — the higher cards usually run 60–65%.
- AJo Win
- 59.5%
- Tie
- 0.5%
- AJo Lose
- 40.0%
- Card combinations
- 144
- AJo vs random
- 63.6% · #15
- KQo vs random
- 61.5% · #23
Win, tie and loss for AJo
When AJo and KQo get all in before the flop, AJo wins 59.7% of the time and KQo takes 40.3%. Broken down, AJo wins outright 59.5%, chops 0.5% and loses 40.0% — a margin of 19.5 points. Two unpaired hands with no shared rank — the higher cards usually run 60–65%.
The same matchup shifts depending on how the suits overlap. With no shared suit the number is 59.6% (for example As Jh against Kd Qc); with one shared suit it is 59.8% (As Jh against Ks Qd). That is a spread of 0.15 points across the 144 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 42.0%, KQo 34.7%, random 23.3%. AJo gives up 17.7 points and KQo gives up 5.5, 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, AJo is worth 63.6% against a random hand (rank 15 of 169) and KQo is worth 61.5% (rank 23). The gap between them in the ranking is only 2.1 points, yet head to head the gap is 19.5 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 60 pots, splits about one, and loses the remaining 40. Against eight random opponents rather than this one specific hand, AJo would be down to 16.1% and KQo to 16.7%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.
From KQo's side, 40.3% is the break-even point for calling an all-in at 1.48:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 40.3% of the pot you are playing for. AJo holds the other 59.7% of that same pot.
Two caveats keep this figure honest. First, it is showdown equity across all 144 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 KQo really does hold exactly KQo; against the wider range a player would actually get all in with, AJo's 59.7% moves. Use the individual pages for AJo and KQo 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 Kd Qc | 24 | 59.6% | 59.4% | 0.4% | 40.2% |
| One shared suit | As Jh vs Ks Qd | 96 | 59.8% | 59.5% | 0.5% | 40.0% |
| Both suits shared | As Jh vs Ks Qh | 24 | 59.7% | 59.5% | 0.6% | 40.0% |
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 | KQo |
|---|---|---|
| 1 | 63.6% | 61.5% |
| 2 | 45.4% | 44.4% |
| 4 | 28.7% | 29.2% |
| 8 | 16.1% | 16.7% |
Related
FAQ
AJo or KQo — which is ahead preflop?
AJo is the favourite. AJo takes 59.7% and KQo 40.3%, a margin of 19.5 points, with 0.5% of hands ending in a chop.
Do the suits change AJo vs KQo?
Yes. With no shared suit it is 59.6%, and with one shared suit it is 59.8% — a swing of up to 0.15 points.
What happens three-way?
With one extra random hand in the pot the split is AJo 42.0%, KQo 34.7%, random 23.3%. AJo drops 17.7 points compared with heads-up.
431 words / 29 distinct figures — Method
