Question: Please see the attachment. 3. (8 points) There are two doors. Behind each door, there is a magical suitcase, which either contains $100, 000 cash

Please see the attachment.

3. (8 points) There are two doors. Behind each door, there is a magical suitcase, which either contains $100, 000 cash or a snake, with probability 1/2. (a) Someone (uniformly) randomly chooses one of the doors and opens the suitcase behind the door. What is the probability that both suitcases contain $100, 000 cash if the revealed suitcase contains $100, 000 cash? Answer: (b) Instead of choosing randomly, the person rst peeks into both suitcases, then opens one using the policy, that if any of the suitcases contains $100,000 cash, then he always chooses to reveal the one with cash. What is the probability that both suitcases contain cash if the revealed one contains cash

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