SOLUTION: Let C1 C2 and C3 be three mutually disjoint subset of the sample space. Find P[(C1 U C2)C3] and P(C1 U C2)

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Question 1129430: Let C1 C2 and C3 be three mutually disjoint subset of the sample space.
Find P[(C1 U C2)C3] and P(C1 U C2)
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Not enough information to find probabilities when no probabilities are given.
If you want to state the rest of the problem, do so in the form below and I'll
get back to you by email.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
1.  I read  (C1 U C2)C3  as  ((C1 U C2) intersection C3).


    Then, since the subsets  C1, C2 and C3 are mutually disjoint, the subset  (C1 U C2)C3  is empty.

    Therefore  P((C1 U C2)C3) = 0.      ANSWER



2.  Since the subsets  C1  and  C2  are disjoint,  P(C1 U C2) = P(C1) + P(C2).     ANSWER

Solved.