Solve the Problem

Multiple Choice

Solve the problem.
-A and B are events in a sample space S such that P(A) = 0.54, P(B) = 0.44, and P(A and B) = 0.14. Draw a Venn diagram showing the overlapping sets A and B and fill in the probabilities of the four regions formed.

A) x = 0.4, y = 0.14, z = 0.3, w = 0.16
B) x = 0.4, y = 0.14, z = 0.3, w = 0.02
C) x = 0.54, y = 0.14, z = 0.44, w = 0.12
D) x = 0.54, y = 0, z = 0.44, w = 0.02