Question

A and B are two events such that P (A) = 0.54, P (B) = 0.69 and P (A ∩ B) = 0.35. Find

\[P (\bar{ A } \cap \bar{ B } )\]

Answer 1

Given:
P (A) = 0.54, P (B) = 0.69 and P (A ∩ B) = 0.35

\[P\left( \bar{A} \cap \bar{ B } \right) = 1 - P\left( A \cup B \right)\]

                    = 1 - 0.88
                    = 0.12