A course is taught by three different instructors:  Professor A, Professor B, and Professor C.  All students in the course must take a comprehensive final exam. Students of Professor A pass the final 85 % of the time. Students of Professor B pass the final 60 % of the time. Students of Professor C pass the final 20 % of the time. Further, 50 % of the students in this course are students of Professor A, 30 % are students of Professor B, and the remaining 20 % are students of Professor C. Given that a randomly selected student passed the final exam, find the probability that he or she was a student of Professor C.   Give the probability as a decimal, and if rounding give to 4 decimal places.   The probability is

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A course is taught by three different instructors:  Professor A, Professor B, and Professor C.  All students in the course must take a comprehensive final exam.

Students of Professor A pass the final 85 % of the time.

Students of Professor B pass the final 60 % of the time.

Students of Professor C pass the final 20 % of the time.

Further, 50 % of the students in this course are students of Professor A, 30 % are students of Professor B, and the remaining 20 % are students of Professor C.

Given that a randomly selected student passed the final exam, find the probability that he or she was a student of Professor C.

 

Give the probability as a decimal, and if rounding give to 4 decimal places.

 

The probability is 

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