A, B and C are events where P(A) = 0.3, P(B) = 0.4, P(C) = 0.3, P(A

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A, B and C are events where P(A) = 0.3, P(B) = 0.4, P(C) = 0.3, P(A ∩ B) = 0.12, P(A ∩ C) = 0 and P(B ∩ C) = 0.1.

a. State which pair of events from A, B and C is mutually exclusive.

b. Using a Venn diagram, or otherwise, find P[(A ∪ B ∪ C)'], which is the probability that neither A nor B nor C occurs.

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