hard · Poker Theory Fundamentals

Hero holds 9♥ 8♥ on a J♥ 7♥ 2♣ flop. Villain (BB) leads for 10 bb. Hero calculates immediate odds but folds due to lack of implied odds against a tight opponent. The turn and river come hearts, which would have completed Hero's flush and won a stack.

  1. Hero avoided the Sunk-Cost Fallacy by refusing to put more money into a pot where they were currently behind.
  2. It conflates the outcome of a single random variable (the turn/river) with the expectation of the decision branch.
  3. The fold is correct because the Rule of 4 overestimates Hero's equity in a non-all-in scenario.
  4. The fold is justified because the absolute value of a 9-high flush is too low to realize its full equity.

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