Definition:
An event with probability 0 is defined to be independent of every event (including itself).If Pr[b]≠0 , then the event A is independent of event B iff Pr[A|B]=Pr[A]Alternative Formulation
A is independent of B if and only if Pr[A∩B]=Pr[A]⋅Pr[B]Definition:
A set of events is said to be mutually independent if the probability of each event in the set is the same no matter which of the other events has occurred.Definition:
A set A1,A2,... , of events is k-way independent iff every set of k of these events is mutually independent. The set is pairwise independent iff it is 2-way independent.[1] Lehman E, Leighton F H, Meyer A R. Mathematics for Computer Science[J]. 2015.
