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How often do pocket aces beat pocket kings?

Pocket aces win 82.6% of the time against pocket kings preflop; kings win 17.4%.

Probability
82.64%
about 1 time in 1.2
Ks Kh equity
17.36%
Exact. Every one of the 1,712,304 possible boards was evaluated.

The classic cooler. Kings need to make a set, a straight or a flush that aces cannot match. The figures here are for aces and kings sharing suits (As Ah vs Ks Kh); with no suits in common the kings can make flushes the aces cannot, and their equity rises to 18.7%.

Roughly 4.5 to 1 is worth remembering: it is the ceiling for how big a favourite one made hand can be over another preflop, apart from a pair dominating a smaller pair.

  1. As Ah wins82.36%
  2. Tie0.54%
  3. Ks Kh wins17.09%
  4. As Ah equity82.64%win + tie ÷ 2
  5. Boards enumerated1,712,304

Quick check

Roughly what are the odds of AA against KK preflop?

Show answer

About 83% — around 4.5 to 1.

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