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Monty Hall Problem Ferrari behind Door 3 Ferrari behind Door 2 Ferrari behind Door 1 Assumption: Player initially picks Door 1 Host must open Door 2 Host must open Door 3 Host opens either Door 2 or 3 Switching loses with probability 1/6 Switching wins with probability 1/3 Switching wins with probability 1/3 Switching loses with probability 1/6 Switching wins with probability 2/3 Switching loses with probability 1/3

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Wild card

  • 1.
  • 2. Monty Hall Problem Ferrari behind Door 3 Ferrari behind Door 2 Ferrari behind Door 1 Assumption: Player initially picks Door 1 Host must open Door 2 Host must open Door 3 Host opens either Door 2 or 3 Switching loses with probability 1/6 Switching wins with probability 1/3 Switching wins with probability 1/3 Switching loses with probability 1/6 Switching wins with probability 2/3 Switching loses with probability 1/3