AKo vs AQo: ace-king offsuit against ace-queen offsuit

All in before the flop, ace-king offsuit wins 72.1%, ace-queen offsuit wins 23.3%, and 4.7% of boards split the pot.

A♠K♥72.1%wins AKo, ace-king
A♦Q♣23.3%wins AQo, ace-queen

AKo wins 72.1%Split 4.7%AQo wins 23.3%

The same ace with a better kicker: ace-queen mostly needs one of the three queens left, and ace-king wins 72.1%.

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Every board, counted

108ways to deal AKo against AQo

1,712,304boards for each of them

74.4%AKo’s share of the pot, a split counted as half

Nothing here is sampled: every five-card board was dealt for every way the two hands can be held, and each showdown scored with the hand ranking Quads teaches.

Suits move it a little. Ace-king offsuit’s share of the pot runs from 74.0%, with A♠ K♥ against A♥ Q♦, to 74.8%, with A♠ K♥ against A♦ Q♠.

The two hands

More match-ups with these hands

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A five-minute lesson: Counting outs

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