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Ace-king vs queens: the odds

Is ace-king a favourite against pocket queens?

Hand Cards Wins Equity
Ace-king suited A♥ K♥ 46.0% 46.2%
Pocket queens Q♠ Q♣ 53.6% 53.8%
Split pot 0.39%

All-in before the flop, with five cards to come. Equity is each hand's average share of the pot — outright wins plus half of the split pots. Computed by enumerating all 1,712,304 possible boards with this site's own engine, so these are exact figures rather than a simulation.

Why the number looks like that

The famous coin flip, and it is not quite a coin: the pair is a small favourite. Ace-king needs to pair up — about half of all boards bring an ace or a king — but the queens win most of the boards where it does not, and can improve themselves.

Try it yourself

Open this hand in the calculator

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