QQ vs 72o
Overpair against two undercards — about 80/20 for the pair.
- QQ Win
- 88.1%
- Tie
- 0.5%
- QQ Lose
- 11.4%
- Card combinations
- 72
- QQ vs random
- 79.9% · #3
- 72o vs random
- 34.4% · #165
Win, tie and loss for QQ
When QQ and 72o get all in before the flop, QQ wins 88.4% of the time and 72o takes 11.6%. Broken down, QQ wins outright 88.1%, chops 0.5% and loses 11.4% — a margin of 76.7 points. Overpair against two undercards — about 80/20 for the pair.
The same matchup shifts depending on how the suits overlap. With no shared suit the number is 87.5% (for example Qs Qh against 7d 2c); with both suits shared it is 89.2% (Qs Qh against 7s 2h). That is a spread of 1.67 points across the 72 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 QQ 71.3%, 72o 10.1%, random 18.6%. QQ gives up 17.1 points and 72o gives up 1.6, 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, QQ is worth 79.9% against a random hand (rank 3 of 169) and 72o is worth 34.4% (rank 165). The gap between them in the ranking is only 45.5 points, yet head to head the gap is 76.7 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, QQ scoops roughly 88 pots, splits about one, and loses the remaining 11. Against eight random opponents rather than this one specific hand, QQ would be down to 24.5% 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, 11.6% is the break-even point for calling an all-in at 7.62:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 11.6% of the pot you are playing for. QQ holds the other 88.4% of that same pot.
Two caveats keep this figure honest. First, it is showdown equity across all 72 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, QQ's 88.4% moves. Use the individual pages for QQ 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 | QQ Equity | Win | Tie | Lose |
|---|---|---|---|---|---|---|
| No shared suit | Qs Qh vs 7d 2c | 12 | 87.5% | 87.3% | 0.4% | 12.3% |
| One shared suit | Qs Qh vs 7s 2d | 48 | 88.4% | 88.1% | 0.5% | 11.4% |
| Both suits shared | Qs Qh vs 7s 2h | 12 | 89.2% | 89.0% | 0.5% | 10.6% |
Adding a random third hand
200,000 simulated showdowns, with the third hand dealt at random each time.
At a bigger table
| Random opponents | 72o | |
|---|---|---|
| 1 | 79.9% | 34.4% |
| 2 | 65.0% | 20.4% |
| 4 | 44.9% | 10.9% |
| 8 | 24.5% | 5.5% |
Related
FAQ
QQ or 72o — which is ahead preflop?
QQ is the favourite. QQ takes 88.4% and 72o 11.6%, a margin of 76.7 points, with 0.5% of hands ending in a chop.
Do the suits change QQ vs 72o?
Yes. With no shared suit it is 87.5%, and with both suits shared it is 89.2% — a swing of up to 1.67 points.
What happens three-way?
With one extra random hand in the pot the split is QQ 71.3%, 72o 10.1%, random 18.6%. QQ drops 17.1 points compared with heads-up.
427 words / 32 distinct figures — Method
