Verify the following extension of the addition rule (a) by an appropriate Venn diagram and (b) by a formal argument using the axioms of probability and the propositions in this chapter.
P ( A ∪ B ∪ C) = P(A) + P(B) + P(C) − P(A ∩ B)
− P(A ∩ C) − P(B ∩ C) + P(A ∩ B ∩ C)
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