Mathematics Homework Solutions
Problem
#4451

Venn diagrams.

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?


Solution Summary

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?

Solution
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