Is it correct? Should John be happy? (Give YOUR EXPLANATION for the probabilities for John to be pardoned))

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Three guys John, Paul and Peter are on a death row in GA. Governor decided to pardon one of them randomly chosen. He told the name of the pardoned to the gourd. Night before execution, each prisoner is in his own cell and none are  supposed to know
who will be pardoned.  John asks the guard to give him the name from the other two who will be executed. Guard answers that Peter will be executed. John gets happier - before the guard gave him the name, his probability to survive was 1/3, and now when he knows that either him or Paul will be pardoned, his probability to survive is higher = 1/2. Is it correct? Should John be happy?
(Give YOUR EXPLANATION for the probabilities for John to be pardoned))

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