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Conditional Probabilityhard
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Events A,B,CA, B, CA,B,C are independent with P(A)=1/2,P(B)=1/3,P(C)=1/4P(A)=1/2, P(B)=1/3, P(C)=1/4P(A)=1/2,P(B)=1/3,P(C)=1/4. What is P(A∣A∪B∪C)P(A| A \cup B \cup C)P(A∣A∪B∪C)?