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6. Two sections of a class contain 50 students each who just did a midterm exam....

6. Two sections of a class contain 50 students each who just did a midterm exam. In the first section 90% of the students passed the exam, in the second section only 70% of the students passed. Two friends randomly chose a sections at enrolment, but chose 1 the same one. Here we assume that we pick two students independently at random with replacement (so there is some chance that two students can end up being the same one). a. What is the chance they both passed the exam? b. Given that they both passed the exam, what is the chance they are in the first section?

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