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Jan7-12, 11:02 PM
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.
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.
Three event sets A,B,C are disjoint if [itex]P(A\cap B\cap C) = P(A\cap C) = \emptyset[/itex].
and A,B,C are partitions of D if [itex]P(A\cup B\cup C) = P(D)[/itex]
I'm not sure how you're defining omega.