13) 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