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There are four students in a class: Joey, Chandler, Rachel, and Monica. The professor of the class has announced that he would give grade 'A'

There are four students in a class: Joey, Chandler, Rachel, and Monica. The professor of the class has announced that he would give grade 'A' to only one student in the class. Curious Joey wants to assess his chance of obtaining 'A'. He asks the professor "I know that you are not going to tell me whether I will get an A or not. But, you can certainly tell me which one of the rest three (Chandler, Rachel, or Monica) will not receive A". The professor finds the question to be harmless and replies that Rachel will not receive A. Furthermore, the professor provides an option to Joey to switch his grade with Monica's. Use Baye's rule to determine if Joey should take up on this option?

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