55 vs 76s
Pair against two overcards — the classic coinflip, with the pair a shade ahead.
- 55 Win
- 49.8%
- Tie
- 1.5%
- 55 Lose
- 48.8%
- Card combinations
- 24
- 55 vs random
- 60.3% · #27
- 76s vs random
- 45.5% · #115
Win, tie and loss for 55
When 55 and 76s get all in before the flop, 55 wins 50.5% of the time and 76s takes 49.5%. Broken down, 55 wins outright 49.8%, chops 1.5% and loses 48.8% — a margin of 1 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 50.4% (for example 5s 5h against 7d 6d); with one shared suit it is 50.6% (5s 5h against 7s 6s). That is a spread of 0.23 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 55 34.7%, 76s 33.9%, random 31.4%. 55 gives up 15.8 points and 76s gives up 15.7, 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, 55 is worth 60.3% against a random hand (rank 27 of 169) and 76s is worth 45.5% (rank 115). The gap between them in the ranking is only 14.8 points, yet head to head the gap is 1 points, which is roughly what the ranking table predicts.
Framed as a run of one hundred identical all-ins, 55 scoops roughly 50 pots, splits about 1, and loses the remaining 49. Against eight random opponents rather than this one specific hand, 55 would be down to 13.2% 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, 49.5% is the break-even point for calling an all-in at 1.02:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 49.5% of the pot you are playing for. 55 holds the other 50.5% 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, 55's 50.5% moves. Use the individual pages for 55 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 | 55 Equity | Win | Tie | Lose |
|---|---|---|---|---|---|---|
| No shared suit | 5s 5h vs 7d 6d | 12 | 50.4% | 49.6% | 1.4% | 48.9% |
| One shared suit | 5s 5h vs 7s 6s | 12 | 50.6% | 49.9% | 1.5% | 48.7% |
Adding a random third hand
200,000 simulated showdowns, with the third hand dealt at random each time.
At a bigger table
| Random opponents | 55 | 76s |
|---|---|---|
| 1 | 60.3% | 45.5% |
| 2 | 40.1% | 31.9% |
| 4 | 22.6% | 20.7% |
| 8 | 13.2% | 13.3% |
Related
FAQ
55 or 76s — which is ahead preflop?
55 is the favourite. 55 takes 50.5% and 76s 49.5%, a margin of 1 points, with 1.5% of hands ending in a chop.
Do the suits change 55 vs 76s?
Yes. With no shared suit it is 50.4%, and with one shared suit it is 50.6% — a swing of up to 0.23 points.
What happens three-way?
With one extra random hand in the pot the split is 55 34.7%, 76s 33.9%, random 31.4%. 55 drops 15.8 points compared with heads-up.
424 words / 32 distinct figures — Method