2. Given A, B and C are mututally exclusive and exhaustive events with p(A)=0.3, p(B)=0.5, and p(C)=0.2. For an event G, we know

Question

2. Given A, B and C are mututally exclusive and exhaustive events with p(A)=0.3, p(B)=0.5, and p(C)=0.2.
For an event G, we know that p(G|A)=0.8, p(G|B)=0.7, and p(G|C)=0.9. Find p(G).

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