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How often do pocket kings beat ace-king?

Pocket kings have 65.9% equity against ace-king suited preflop. The kings block the ace-king's kings, leaving it mostly aces to hit.

Probability
65.89%
about 1 time in 1.5
Ad Kd equity
34.11%
Exact. Every one of the 1,712,304 possible boards was evaluated.

Kings versus ace-king is close to two-to-one. Ace-king has three aces to hit (one king is already in the kings' hand, so its king outs are down to one), plus the usual straights and flushes.

Compare with queens versus ace-king, a near coin flip: the difference is entirely that kings block one of ace-king's ranks and queens block none.

  1. Ks Kh wins65.48%
  2. Tie0.82%
  3. Ad Kd wins33.69%
  4. Ks Kh equity65.89%win + tie ÷ 2
  5. Boards enumerated1,712,304

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Board · Preflop
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