Given: and let the probability of event be
(i) Mutually exclusive
When A and B are mutually exclusive which implies that if two events cannot occur at the same moment, they are mutually exclusive or discontinuous.
As we know that,
Substituting the value and evaluating:
When A and B are independent.Two events are independent, statistically independent, or stochastically independent if the occurrence of one does not affect the probability of occurrence of the other.