99 vs AKo: pocket nines against ace-king offsuit

All in before the flop, pocket nines win 55.1%, ace-king offsuit wins 44.5%, and 0.4% of boards split the pot.

9♠9♥55.1%wins 99, pocket nines
A♠K♥44.5%wins AKo, ace-king

99 wins 55.1%Split 0.4%AKo wins 44.5%

Nines win 55.1%: any ace or king pairs ace-king, and six are left.

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Every board, counted

72ways to deal 99 against AKo

1,712,304boards for each of them

55.3%99’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. Pocket nines’s share of the pot runs from 54.9%, with 9♠ 9♥ against A♠ K♥, to 55.7%, with 9♠ 9♥ against A♦ K♣.

The two hands

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