1.4 Exercise 19

The set combination $A \oplus B = A B^{c} \vee A^{c} B$ is known as the disjunctive union or the symetric difference of A and B. This is the event that only one of the events A or B occurs on a trial. Determine $P \left(A \oplus B\right)$ in terms of $P \left(A\right)$, $P \left(B\right)$, and $P \left(A B\right)$.