SOLUTION: In a certain class, 40 percent sign of students had a B average at midterm. Of these, 50 percent sign ended up with a course grade of B. Of those who did not have a B average at mi

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Question 1159952: In a certain class, 40 percent sign of students had a B average at midterm. Of these, 50 percent sign ended up with a course grade of B. Of those who did not have a B average at midterm, 40 percent sign ended up with a course grade of B. If one of the students in the class is selected at random and is found to have received a B for the course, what is the probability that the student did not have a B average at midterm?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Start with 100 students
=======B at midterm=====not B at midterm---Total
B for C====20---------------24---------------44
no B======20--------------36---------------56
Total======40--------------60--------------100
The probability that given a B (44), the likelihood of not having a B at midterm was 24/44 or 6/11 (54.5%)