The three prisoners were informed that one of them would be kept in prison and the other two would be released. One of them, prisoner A. he asks the guard to tell him which of the other two will be released, claiming that he is not getting valuable information because it is certain that (at least) one of prisoners B and C will be released. The guard refuses to answer him, because he thinks that the time the probability of prisoner A to stay in prison (which is now 1/3) would change to 1/2, given that then A would be one of the two who can stay in prison. prison. Is the guard right?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The three prisoners were informed that one of them would be kept in prison and the other two would be released. One of them, prisoner A. he asks the guard to tell him which of the other two will be released, claiming that he is not getting valuable information because it is certain that (at least) one of prisoners B and C will be released. The guard refuses to answer him, because he thinks that the time the probability of prisoner A to stay in prison (which is now 1/3) would change to 1/2, given that then A would be one of the two who can stay in prison. prison. Is the guard right?

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