Let denote the sample space of a random experiment and A, B, C, D and E denote events which are subsets of .

Assume that events C and D are disjoint and events D and E are independent.

Given the probabilities

P(A) =0.499, P(B) = 0.271, P(A U B) = 0.167, P(C) =0.522, P(D)=0.147 and P(E)=0.267

find the probability P(AB) (same as P(A and B)) and enter its value below.

Note: Round at the fifth decimal point for this question.