Probability

If \(A\) and \(B\) are two events such that \(P(A)=\frac{1}{3}, P(B)=\frac{1}{5}\) and \(P(A \cup B)=\frac{1}{2}\), then \(P\left(A \mid B^{\prime}\right)+P\left(B \mid A^{\prime}\right)\) is equal to :