Suppose a sample space contains 6 outcomes denoted by e1, e2, . . . , e6. Let A, B and C be the events

A = {e1, e2, e3}, B = {e3, e4, e5}, and C = {e5, e6}, and suppose probabilities are assigned as follows:

P(A) = 0.4 , P(B) = 0.5 , P(C) = 0.5 , P(A B) = 0.2 , P(B C) = 0.2 . By using a Venn diagram, or otherwise, verify that such an assignment of probabilities is possible