Assignment:
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?
Provide complete and step by step solution for the question and show calculations and use formulas.