Disjoint Events: Two events A and B are disjoint or mutually exclusive if and only if both do not occur at the same time. So, we can say that the probability of both events occuring together P(A ∩ B) = 0.

Independent Events: Two events A and B are independent events if and only if the occurrence of one event does not affect the occurrence of the other event. So, If any two events are independent the P(A ∩ B) = P(A)*P(B)