hard · Poker Theory River

Game: NLHE | Format: Cash | Blinds/Antes: 1/2 | Effective Stacks: 100 bb | Hero Position: BTN | Pot Size: 100 bb Hero holds A♠ 5♠ on a Q♥ 8♠ 4♠ 2♣ K♣ board. Hero considers a river bluff. Hero's A♠ blocks one combination of A♠ K♠ and two combinations of A♠ Q♠. If Villain's calling range at this node contains 24 value combinations and 6 bluffs, calculate the change in Villain's calling-to-folding ratio caused by Hero's blockers.

  1. Villain's value is reduced from 24 to 21 combinations, making the bluff more profitable.
  2. Hero blocks 12.5% of Villain's total range, which is always the threshold for a profitable bluff.
  3. The bluff becomes less profitable because Hero blocks 'air' hands that would fold anyway.
  4. Villain's range is unchanged because A♠ 5♠ is not a nut hand.

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