Posted by **Carla Lopez** on Sunday, September 2, 2012 at 11:32pm.

4.3. In a certain college town, 27.5 percent of the students failed Mathematics (Math), 19.8 percent failed Biology (Bio), and

11 percent failed both Math and Bio. A student is selected at random. Let A represent the event of failing Math, so that A' is

the probability of passing Math. Let B be the event of failing Bio and B' the event of passing Bio.

(j) If the student failed Math or Bio, what is the probability that he or she failed Math and Bio?

(k) If the student failed Math and Bio, what is the probability that he or she failed Math or Bio? Enter the solution.

(l) If the student passed Math or Bio, what is the probability that the student failed Math and Bio? Enter the solution.