7. Three prisoners are informed by their jailer that two of them have been chosen at random to be released. Prisoner A asks the jailer to tell him privately which of his fellow prisoners will be set free, claiming that there would be no harm in divulging this information because he already knows that at least one of the two will go free. The jailer refuses to answer this question, pointing out that if A knew which of his fellow prisoners were to be set free, then his own probability of being released would decrease from 2/3 to 1/2 because he would then be one of the two prisoners who might be released. What do you think of the jailer's interpretation of probabilities?

7. Three prisoners are informed by their jailer that two of them have been chosen at random to be released. Prisoner A asks the jailer to tell him privately which of his fellow prisoners will be set free, claiming that there would be no harm in divulging this information because he already knows that at least one of the two will go free. The jailer refuses to answer this question, pointing out that if A knew which of his fellow prisoners were to be set free, then his own probability of being released would decrease from 2/3 to 1/2 because he would then be one of the two prisoners who might be released. What do you think of the jailer's interpretation of probabilities?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.6: Permutations And Combinations

Problem 2SC: How many different signals can be sent, when three flags are used, if two of the 9 flags are...

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