Question: A student enrolls in a statistics class. There is a probability of 0.3 that they will be assigned to Professor Jones's class, and a probability

  1. A student enrolls in a statistics class. There is a probability of 0.3 that they will be assigned to Professor Jones's class, and a probability of 0.7 that they will be assigned to Professor Smith. Historically the probability of getting a B or higher in Professor Jones's class was 0.35 while in Professor Smith's class it was 0.30. Given that a student earned a B, what is the probability they were in Mr. Smith's class?

A. 0.33

B. 0.13

C. 0.67

D. 0.22

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