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 Quote by Philip Wong Hi guys, I'm learning about partition sets of the sample space. I understand that events form a partition of Ω when: 1) events are mutually exclusive from each other 2) union of events adds up to Ω My question is: how do can I determine if the events are mutually exclusive to each other, when the probability for any events are not given, AND were not explicitly determined. for example: A∪B∪C = D How can I determined if the above example are mutually exclusive from each other, such that I could determine whether A∪B∪C forms a partition of D. thanks
Three event sets A,B,C are disjoint if $P(A\cap B\cap C) = P(A\cap C) = \emptyset$.

and A,B,C are partitions of D if $P(A\cup B\cup C) = P(D)$

I'm not sure how you're defining omega.