Suppose we have sample spaceS= {1, 5, 8, 13, 25, 27, 31, 33, 40} and events defined by

A= {1, 8, 27, 31},B= {1, 5, 8, 33, 40} andC= {5, 8, 13, 27, 33, 40}. Each element in the sample space has the same probability of being selected.

Find P[(AB)(B C)^c]