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How often does ace-queen beat ace-king?

Ace-queen has only 26.0% equity against ace-king preflop. Sharing the ace, it needs a queen without a king — the definition of a dominated hand.

Probability
25.98%
about 1 time in 3.8
As Kd equity
74.02%
Exact. Every one of the 1,712,304 possible boards was evaluated.

When two hands share their high card, the one with the better kicker wins most of the time: an ace on board makes both hands a pair and the kicker decides. Ace-queen must make a queen (three outs) while no king comes, or a straight or flush the ace-king cannot match.

About one in four is the number to remember for kicker domination. It also explains why ace-x hands are trouble against a raise from a tight player.

  1. Ah Qc wins23.69%
  2. Tie4.59%
  3. As Kd wins71.72%
  4. Ah Qc equity25.98%win + tie ÷ 2
  5. Boards enumerated1,712,304

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Board · Preflop
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Opponent 1

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