A student is taking a history course and an English course T

A student is taking a history course and an English course. The student figures out that he or she has a 70% chance of receiving a B in the history course, and an 80% chance of receiving a B in the English course. Assume that the chance of receiving a B in one course is independentof the chance of receiving a B in the other course.

a.What is the probability that the student will receive Bs in both courses?

b.What is the probability that the student will receive at least a B in both courses?

Solution

a. P(both B) = .7*.8

                    = .56

b. P = 1- (.2*.3)

       = .94