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Question
The accompanying Venn diagram shows three events, A, B, and C, and also the probabilities of the various intersections (for instance, P(A ∩ B) = .07). Determine P(A ∪ B)
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Solution
From the given Venn diagram
P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
= 0.13 + 0.07 + 0.07 + 0.10 + 0.15 – 0.07
= 0.13 + 0.07 + 0.10 + 0.15
= 0.45
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