22 vs 76s
Pair against two overcards — the classic coinflip, with the pair a shade ahead.
- 22 Win
- 45.1%
- Tie
- 2.7%
- 22 Lose
- 52.1%
- Card combinations
- 24
- 22 vs random
- 50.2% · #88
- 76s vs random
- 45.5% · #115
Win, tie and loss for 22
When 22 and 76s get all in before the flop, 22 wins 46.5% of the time and 76s takes 53.5%. Broken down, 22 wins outright 45.1%, chops 2.7% and loses 52.1% — a margin of -7 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 46.3% (for example 2s 2h against 7d 6d); with one shared suit it is 46.7% (2s 2h against 7s 6s). That is a spread of 0.46 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 22 29.1%, 76s 36.6%, random 34.3%. 22 gives up 17.4 points and 76s gives up 16.9, 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, 22 is worth 50.2% against a random hand (rank 88 of 169) and 76s is worth 45.5% (rank 115). The gap between them in the ranking is only 4.7 points, yet head to head the gap is 7 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, 22 scoops roughly 45 pots, splits about 3, and loses the remaining 52. Against eight random opponents rather than this one specific hand, 22 would be down to 12.5% and 76s to 13.3%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.
From 76s's side, 53.5% is the break-even point for calling an all-in at 0.87:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 53.5% of the pot you are playing for. 22 holds the other 46.5% 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 76s really does hold exactly 76s; against the wider range a player would actually get all in with, 22's 46.5% moves. Use the individual pages for 22 and 76s 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 | 22 Equity | Win | Tie | Lose |
|---|---|---|---|---|---|---|
| No shared suit | 2s 2h vs 7d 6d | 12 | 46.3% | 44.9% | 2.8% | 52.4% |
| One shared suit | 2s 2h vs 7s 6s | 12 | 46.7% | 45.4% | 2.7% | 51.9% |
Adding a random third hand
200,000 simulated showdowns, with the third hand dealt at random each time.
At a bigger table
| Random opponents | 22 | 76s |
|---|---|---|
| 1 | 50.2% | 45.5% |
| 2 | 30.2% | 31.9% |
| 4 | 17.8% | 20.7% |
| 8 | 12.5% | 13.3% |
Related
FAQ
22 or 76s — which is ahead preflop?
76s is the favourite. 22 takes 46.5% and 76s 53.5%, a margin of 7 points, with 2.7% of hands ending in a chop.
Do the suits change 22 vs 76s?
Yes. With no shared suit it is 46.3%, and with one shared suit it is 46.7% — a swing of up to 0.46 points.
What happens three-way?
With one extra random hand in the pot the split is 22 29.1%, 76s 36.6%, random 34.3%. 22 drops 17.4 points compared with heads-up.
431 words / 33 distinct figures — Method
