AKs vs 77
Pair against two overcards — the classic coinflip, with the pair a shade ahead.
- AKs Win
- 47.5%
- Tie
- 0.4%
- AKs Lose
- 52.1%
- Card combinations
- 24
- AKs vs random
- 67.2% · #8
- 77 vs random
- 66.3% · #9
Win, tie and loss for AKs
When AKs and 77 get all in before the flop, AKs wins 47.7% of the time and 77 takes 52.3%. Broken down, AKs wins outright 47.5%, chops 0.4% and loses 52.1% — a margin of -4.6 points. Pair against two overcards — the classic coinflip, with the pair a shade ahead.
The same matchup shifts depending on how the suits overlap. With one shared suit the number is 47.4% (for example As Ks against 7s 7h); with no shared suit it is 48.0% (As Ks against 7h 7d). That is a spread of 0.54 points across the 24 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 41.9%, 77 39.2%, random 18.9%. AKs gives up 5.8 points and 77 gives up 13.1, so the underdog loses more than the favourite 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 77 is worth 66.3% (rank 9). The gap between them in the ranking is only 0.9 points, yet head to head the gap is 4.6 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 48 pots, splits about one, and loses the remaining 52. Against eight random opponents rather than this one specific hand, AKs would be down to 22.4% and 77 to 14.6%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.
From 77's side, 52.3% is the break-even point for calling an all-in at 0.91:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 52.3% of the pot you are playing for. AKs holds the other 47.7% of that same pot.
Two caveats keep this figure honest. First, it is showdown equity across all 24 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 77 really does hold exactly 77; against the wider range a player would actually get all in with, AKs's 47.7% moves. Use the individual pages for AKs and 77 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 7d | 12 | 48.0% | 47.8% | 0.3% | 51.9% |
| One shared suit | As Ks vs 7s 7h | 12 | 47.4% | 47.2% | 0.4% | 52.4% |
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 | 77 |
|---|---|---|
| 1 | 67.2% | 66.3% |
| 2 | 50.3% | 46.5% |
| 4 | 35.4% | 26.9% |
| 8 | 22.4% | 14.6% |
Related
FAQ
AKs or 77 — which is ahead preflop?
77 is the favourite. AKs takes 47.7% and 77 52.3%, a margin of 4.6 points, with 0.4% of hands ending in a chop.
Do the suits change AKs vs 77?
Yes. With one shared suit it is 47.4%, and with no shared suit it is 48.0% — a swing of up to 0.54 points.
What happens three-way?
With one extra random hand in the pot the split is AKs 41.9%, 77 39.2%, random 18.9%. AKs drops 5.8 points compared with heads-up.
431 words / 30 distinct figures — Method
