77 vs AJs
Pair against two overcards — the classic coinflip, with the pair a shade ahead.
- 77 Win
- 51.8%
- Tie
- 0.4%
- 77 Lose
- 47.8%
- Card combinations
- 24
- 77 vs random
- 66.3% · #9
- AJs vs random
- 65.4% · #11
Win, tie and loss for 77
When 77 and AJs get all in before the flop, 77 wins 52.0% of the time and AJs takes 48.0%. Broken down, 77 wins outright 51.8%, chops 0.4% and loses 47.8% — a margin of 3.9 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 no shared suit the number is 51.6% (for example 7s 7h against Ad Jd); with one shared suit it is 52.3% (7s 7h against As Js). That is a spread of 0.64 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 77 39.2%, AJs 40.9%, random 19.9%. 77 gives up 12.8 points and AJs gives up 7.1, 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, 77 is worth 66.3% against a random hand (rank 9 of 169) and AJs is worth 65.4% (rank 11). The gap between them in the ranking is only 0.9 points, yet head to head the gap is 3.9 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, 77 scoops roughly 52 pots, splits about one, and loses the remaining 48. Against eight random opponents rather than this one specific hand, 77 would be down to 14.6% 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, 48.0% is the break-even point for calling an all-in at 1.08:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 48.0% of the pot you are playing for. 77 holds the other 52.0% 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 AJs really does hold exactly AJs; against the wider range a player would actually get all in with, 77's 52.0% moves. Use the individual pages for 77 and AJs 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 | 77 Equity | Win | Tie | Lose |
|---|---|---|---|---|---|---|
| No shared suit | 7s 7h vs Ad Jd | 12 | 51.6% | 51.5% | 0.3% | 48.2% |
| One shared suit | 7s 7h vs As Js | 12 | 52.3% | 52.1% | 0.5% | 47.5% |
Adding a random third hand
200,000 simulated showdowns, with the third hand dealt at random each time.
At a bigger table
| Random opponents | 77 | AJs |
|---|---|---|
| 1 | 66.3% | 65.4% |
| 2 | 46.5% | 48.0% |
| 4 | 26.9% | 32.2% |
| 8 | 14.6% | 20.1% |
Related
FAQ
77 or AJs — which is ahead preflop?
77 is the favourite. 77 takes 52.0% and AJs 48.0%, a margin of 3.9 points, with 0.4% of hands ending in a chop.
Do the suits change 77 vs AJs?
Yes. With no shared suit it is 51.6%, and with one shared suit it is 52.3% — a swing of up to 0.64 points.
What happens three-way?
With one extra random hand in the pot the split is 77 39.2%, AJs 40.9%, random 19.9%. 77 drops 12.8 points compared with heads-up.
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