Problem #97 MEDIUM
The Monty Hall Remix — Three Prisoners
Paradox Probability Game Theory
Problem Statement
Three prisoners — Anand, Bina, and Chetan — are on death row. The warden will pardon exactly one of them, chosen uniformly at random, but will not reveal who. Anand asks the warden: 'Since at least one of Bina or Chetan must be executed, please tell me the name of one of them who will be executed — this gives me no information about my own fate.' The warden agrees and says 'Bina will be executed.' Has Anand's probability of pardon changed? What is Chetan's probability now?
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