Example: From what she has heard about the two instructors who will teach a freshman statistics course, Jasmine estimates that her chances of passing...

Example: From what she has heard about the two instructors who will teach a freshman statistics course, Jasmine estimates that her chances of passing the course are 0.85 if she gets Professor Normal, but only 0.60 if she gets Professor Skewed. The registrar determines the section into which she is put. Suppose her chances of being assigned to Professor Normal are 4 out of 10. Fifteen weeks later we learn that Jasmine did, indeed, pass the course. What is the probability that she was enrolled in Professor Normal"s section?