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SW VandeCarr
Jan7-12, 11:02 PM
P: 2,501
Quote Quote by Philip Wong View Post
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.

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.