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A student has to take a middle term exam and a final exam for a course. He has to pass at least one of the

A student has to take a middle term exam and a final exam for a course. He has to pass at least one of the two exams to pass the course. Suppose that the probability of he passing the first exam is p (p (0, 1)); the probability of he passing both exams is also p; the probability of he failing the first one but passing the second 1 is p 2 . (a) What's the probability of this student passing the course? (b) If we know that this student passed the second exam, what's the probability of he passing the first exam?

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