Two sections of a probability course are being taught. From what she has heard about the two instructors listed, Anna estimates that her chances of passing the course are 0.85 if she gets professor X and 0.60 if she gets professor Y. Suppose her chances of being assigned to professor X are four out of ten. At the end of the semester Anna indeed pass the course. What is the probability she was enrolled in professor X's section?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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Two sections of a probability course are being taught. From what
she has heard about the two instructors listed, Anna estimates that
her chances of passing the course are 0.85 if she gets professor X
and 0.60 if she gets professor Y. Suppose her chances of being
assigned to professor X are four out of ten. At the end of the
semester Anna indeed pass the course. What is the probability she
was enrolled in professor X's section?
Transcribed Image Text:Two sections of a probability course are being taught. From what she has heard about the two instructors listed, Anna estimates that her chances of passing the course are 0.85 if she gets professor X and 0.60 if she gets professor Y. Suppose her chances of being assigned to professor X are four out of ten. At the end of the semester Anna indeed pass the course. What is the probability she was enrolled in professor X's section?
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