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Given A, B, and C are events with p(~A)=0.35, p(B)=0.45, p(~ANB)=0.1, P(~ANC)=0.15, p(BNC)=0.20, P(~ANBNC)=0.05, and p(~AuBUC)=0.8, find p(C).

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Given A, B, and C are events with p(~A)=0.35, p(B)=0.45, p(~ANB)=0.1, P(~ANC)=0.15, p(BNC)=0.20, P(~ANBNC)=0.05, and p(~AuBUC)=0.8, find p(C).

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