AKs vs 72o
Two unpaired hands with no shared rank — the higher cards usually run 60–65%.
- AKs Win
- 68.8%
- Tie
- 0.5%
- AKs Lose
- 30.7%
- Card combinations
- 48
- AKs vs random
- 67.2% · #8
- 72o vs random
- 34.4% · #165
Win, tie and loss for AKs
When AKs and 72o get all in before the flop, AKs wins 69.0% of the time and 72o takes 31.0%. Broken down, AKs wins outright 68.8%, chops 0.5% and loses 30.7% — a margin of 38 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 one shared suit the number is 68.8% (for example As Ks against 7s 2h); with no shared suit it is 69.2% (As Ks against 7h 2d). That is a spread of 0.39 points across the 48 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 AKs 53.3%, 72o 20.4%, random 26.4%. AKs gives up 15.8 points and 72o gives up 10.6, 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, AKs is worth 67.2% against a random hand (rank 8 of 169) and 72o is worth 34.4% (rank 165). The gap between them in the ranking is only 32.8 points, yet head to head the gap is 38 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, AKs scoops roughly 69 pots, splits about one, and loses the remaining 31. Against eight random opponents rather than this one specific hand, AKs would be down to 22.4% and 72o to 5.5%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.
From 72o's side, 31.0% is the break-even point for calling an all-in at 2.23:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 31.0% of the pot you are playing for. AKs holds the other 69.0% of that same pot.
Two caveats keep this figure honest. First, it is showdown equity across all 48 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 72o really does hold exactly 72o; against the wider range a player would actually get all in with, AKs's 69.0% moves. Use the individual pages for AKs and 72o 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 | AKs Equity | Win | Tie | Lose |
|---|---|---|---|---|---|---|
| No shared suit | As Ks vs 7h 2d | 24 | 69.2% | 69.0% | 0.5% | 30.6% |
| One shared suit | As Ks vs 7s 2h | 24 | 68.8% | 68.5% | 0.6% | 30.9% |
Adding a random third hand
200,000 simulated showdowns, with the third hand dealt at random each time.
At a bigger table
| Random opponents | AKs | 72o |
|---|---|---|
| 1 | 67.2% | 34.4% |
| 2 | 50.3% | 20.4% |
| 4 | 35.4% | 10.9% |
| 8 | 22.4% | 5.5% |
Related
FAQ
AKs or 72o — which is ahead preflop?
AKs is the favourite. AKs takes 69.0% and 72o 31.0%, a margin of 38 points, with 0.5% of hands ending in a chop.
Do the suits change AKs vs 72o?
Yes. With one shared suit it is 68.8%, and with no shared suit it is 69.2% — a swing of up to 0.39 points.
What happens three-way?
With one extra random hand in the pot the split is AKs 53.3%, 72o 20.4%, random 26.4%. AKs drops 15.8 points compared with heads-up.
431 words / 32 distinct figures — Method
