Probability: Considering Failure Rates

The records of Midwestern University show that in one semester, 38% of the students failed mathematics, 27% of the students failed physics, and 9% of the students failed mathematics and physics. A student is selected at random.

a.) If a student failed physics, what is the probability that he or she failed mathematics?

b.) If a student failed mathematics, what is the probability that he or she failed physics?

c.) What is the probability that he or she fails mathematics or physics?

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