77 vs AQs

When 77 and AQs get all in before the flop, 77 wins 51.8% of the time and AQs takes 48.2%. Broken down, 77 wins outright 51.6%, chops 0.4% and loses 48.0% — a margin of 3.6 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 Qd); with one shared suit it is 52.0% (7s 7h against As Qs). That is a spread of 0.41 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 39.1%, AQs 41.4%, random 19.5%. 77 gives up 12.7 points and AQs gives up 6.8, 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 AQs is worth 66.2% (rank 10). The gap between them in the ranking is only 0.1 points, yet head to head the gap is 3.6 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 AQs to 21.1%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From AQs's side, 48.2% is the break-even point for calling an all-in at 1.07:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 48.2% of the pot you are playing for. 77 holds the other 51.8% 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 AQs really does hold exactly AQs; against the wider range a player would actually get all in with, 77's 51.8% moves. Use the individual pages for 77 and AQs to see how each of them fares against all 168 other holdings before treating this single pairing as the whole picture.