Question: Suppose that A, B, and C are three events such that A and B are disjoint, A and C are independent, and B and C

Suppose that A, B, and C are three events such that A and B are disjoint, A and C are independent, and B and C are independent. Suppose also that 4Pr(A) = 2Pr(B) = Pr(C) > 0 and Pr(A ∪ B ∪ C) = 5Pr(A). Determine the value of Pr(A).

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