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Ace-king vs a small pair: the odds
Is ace-king favourite against a small pocket pair?
| Hand | Cards | Wins | Equity |
|---|---|---|---|
| Ace-king suited | A♥ K♥ | 49.8% | 50.1% |
| Pocket twos | 2♠ 2♣ | 49.6% | 49.9% |
| Split pot | — | 0.63% | — |
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 answer that surprises everybody: even against the worst pair in the deck, ace-king is at best a coin flip and offsuit it is behind. Two live overcards are worth about as much as the smallest made hand.
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