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 (A ∩  \[\bar{ B } \] )

Answer 1

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

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

                         = 0.54 - 0.35
                         = 0.19