Factory has three suppliers for getting the parts needed for manufacturing: 40% of the parts purchased from supplier 1 (S1), 37% from supplier 2 (S2) and 2396 from supplier 3 (S3). Historical data suggest that the quality ratings of the three suppliers are, where G for good and B for bad parts, P(G|S1)=0.95, P(G|52)=0.89 and P(G|S3)=0.85. What is the overall probability of finding a bad part from the combined shipments of the three suppliers?

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