Explanation : If A and B are two events, then
A ∪ B = an event which represents the occurrence of either A or B or both.
A ∩ B = an event which represents the simultaneous occurrence of A and B.
A = complement of event A and represents non-occurrence of A.
A ∩ B = both A and B do not occur.
A ∩ B = event A does not occur but event B occurs.
A ∩ B = event A occurs but event B does not occur.
(A∩B)∪(A∩B) = exactly one of the two events A and B occurs.