Question: 4) Imagine you are a contestant in a Show program in TV. There are three contestants, and you are informed by producer of the competition

4) Imagine you are a contestant in a Show program in TV. There are three contestants, and you are informed by producer of the competition program that one of among you has been chosen at random to be eliminated and the other two will continue to the show. You ask the producer to tell you privately which of your fellow will continue the show, claiming that there would be no harm in divulging this information because you already know that at least one of the two will continue. The producer refuses to answer this question, pointing out that if you knew which of your fellow were to continue, then your own probability of being eliminated would rise from 1/3 to 1/2 because you would then be one of two contestants. What do you think of the producer's reasoning
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