77 vs KQs
Pair against two overcards — the classic coinflip, with the pair a shade ahead.
- 77 Win
- 50.9%
- Tie
- 0.5%
- 77 Lose
- 48.6%
- Card combinations
- 24
- 77 vs random
- 66.3% · #9
- KQs vs random
- 63.4% · #16
Win, tie and loss for 77
When 77 and KQs get all in before the flop, 77 wins 51.1% of the time and KQs takes 48.9%. Broken down, 77 wins outright 50.9%, chops 0.5% and loses 48.6% — a margin of 2.3 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 50.9% (for example 7s 7h against Kd Qd); with one shared suit it is 51.4% (7s 7h against Ks Qs). That is a spread of 0.44 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 38.5%, KQs 41.6%, random 19.9%. 77 gives up 12.7 points and KQs gives up 7.2, 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 KQs is worth 63.4% (rank 16). The gap between them in the ranking is only 2.9 points, yet head to head the gap is 2.3 points, which is roughly what the ranking table predicts.
Framed as a run of one hundred identical all-ins, 77 scoops roughly 51 pots, splits about one, and loses the remaining 49. Against eight random opponents rather than this one specific hand, 77 would be down to 14.6% and KQs to 20.4%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.
From KQs's side, 48.9% is the break-even point for calling an all-in at 1.04:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 48.9% of the pot you are playing for. 77 holds the other 51.1% 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 KQs really does hold exactly KQs; against the wider range a player would actually get all in with, 77's 51.1% moves. Use the individual pages for 77 and KQs 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 Kd Qd | 12 | 50.9% | 50.7% | 0.4% | 48.9% |
| One shared suit | 7s 7h vs Ks Qs | 12 | 51.4% | 51.1% | 0.5% | 48.4% |
Adding a random third hand
200,000 simulated showdowns, with the third hand dealt at random each time.
At a bigger table
| Random opponents | 77 | KQs |
|---|---|---|
| 1 | 66.3% | 63.4% |
| 2 | 46.5% | 47.2% |
| 4 | 26.9% | 32.3% |
| 8 | 14.6% | 20.4% |
Related
FAQ
77 or KQs — which is ahead preflop?
77 is the favourite. 77 takes 51.1% and KQs 48.9%, a margin of 2.3 points, with 0.5% of hands ending in a chop.
Do the suits change 77 vs KQs?
Yes. With no shared suit it is 50.9%, and with one shared suit it is 51.4% — a swing of up to 0.44 points.
What happens three-way?
With one extra random hand in the pot the split is 77 38.5%, KQs 41.6%, random 19.9%. 77 drops 12.7 points compared with heads-up.
424 words / 29 distinct figures — Method