77 vs AKo
A pair of sevens against ace-king offsuit, all in before the flop. The classic race: a small pair is a tiny favourite over ace-king.
The numbers
77
a pair of sevens
55.0%
equity
AKo
ace-king offsuit
45.0%
equity
| Outcome | Share of boards |
|---|---|
| 77 wins | 54.8% |
| AKo wins | 44.8% |
| Split pot | 0.4% |
Exact, not simulated. 77 means a pair of sevens and AKo means ace-king offsuit: 72 legal ways to deal the two hands, and every one of the 1,712,304 possible five-card boards dealt for each — 123,285,888 board-and-hand combinations in total, each one scored by the same evaluator the calculator uses. Combinations that are the same hand with the suits renamed were counted once and weighted by how many they stand for: 4 distinct suit patterns stand in for all 72, which is the same answer for 18 times less work.
Why it comes out this way
The pair of sevens is the only made hand right now, but both of ace-king's cards are higher than it. Six cards in the deck — the aces and the kings — pair ace-king up and put it in front.
That is why this is close rather than one-sided: the pair of sevens wins 54.8%, ace-king wins 44.8%. The pair of sevens is ahead on every board that misses those six cards, which is most of them, but it is only ever one card from losing the lead.
These two cards are of different suits, which costs ace-king real equity: the same ranks suited win 47.5% instead of 44.8%.
The pot is split 0.4% of the time.
Open it in the calculator
The link below deals one typical version of this matchup — 7of spades7of hearts against Aof spadesKof diamonds — into the calculator, with both hands set and the board empty. Add community cards one at a time to watch the equity move, or change a card to see how much the suits are worth.