40% of the goods produced in a factory are produced in A loom, 35% in B loom and 25% in C loom. It is known that 10% of the goods produced in machine A, 8% in machine B and 7% in machine C are defective. It was found that a product randomly taken from the warehouse of the factory was defective. Calculate the probability that this was produced on a C machine.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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40% of the goods produced in a factory are produced in A loom, 35% in B loom and 25% in C loom. It is known that 10% of the goods produced in machine A, 8% in machine B and 7% in machine C are defective. It was found that a product randomly taken from the warehouse of the factory was defective. Calculate the probability that this was produced on a C machine.

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