In a bolt factory, machines A, B and C manufacture 25%, 35% and 40% of total outputs, respectively. Of the total of their outputs, 5%, 4% and 2% are defective  bolts, respectively. A bolt is drawn at random and is found to be defective. What is the probability that it was manufactured by machines A, B or C?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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In a bolt factory, machines A, B and C manufacture 25%, 35% and 40% of total
outputs, respectively. Of the total of their outputs, 5%, 4% and 2% are defective 
bolts, respectively. A bolt is drawn at random and is found to be defective. What
is the probability that it was manufactured by machines A, B or C? 

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