1. There are four students in the class: Joey, Chandler, Rachel, and Monica. The professor of the class has announced that he would give a grade of ‘A’ to only one student in the class. Curious Joey wants to assess his chance of obtaining an ‘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 an A”. The professor finds the question to be harmless and replies that Rachel will not receive an A. Furthermore, the professor provides an option for Joey to switch his grade with Monica’s. 
2. 
   
3. Use Baye’s rule to determine if Joey should take up this option.

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Let A be the event that Joey receives an A and B be the event that Mo... View the full answer