Very Bad Wizards

Episode 307: What's in the BOX?

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Apr 22, 2025
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ANECDOTE

Monty Hall Controversy and Reaction

  • Marilyn Vos Savant received thousands of angry letters from PhDs rejecting her Monty Hall problem solution.
  • Even famous mathematician Paul Erdos accepted it only after a computer simulation proved it.
INSIGHT

Why Monty Hall Is Hard to Intuit

  • Monty Hall's problem seems counterintuitive because initial odds (1/3) versus probabilities after a host's informed reveal (2/3) confuse intuition.
  • Visualizing with many doors clarifies why switching doors increases your winning chances dramatically.
INSIGHT

Psychological Roots of Monty Hall Rejection

  • People reject the Monty Hall solution not just from difficulty but also from certainty bias and possibly sexism against Marilyn Vos Savant.
  • The problem acts like a statistical illusion akin to visual illusions but harder to grasp psychologically.
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