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 (B ∩ \[\bar{ A } \] )

Answer 1

Given:
P (A) = 0.54, P (B) = 0.69 and P (A ∩ B) = 0.35
\[P\left( \bar{A} \cap B \right) = P\left( B \right) - P\left( A \cap B \right)\]

                          = 0.69 - 0.35
                          = 0.34