In a manufacturing company, three machines A, B and C respectively produce 20 %, 30 % and 50 % of the total product. The defective products from A, B and C are respectively 5 %, 3 % and 2 % . If an article produced by the company is selected at random and is found to be defective, then the probability that it is produced by machine B is

Step-by-step solution

Let events, Production by machine A =E₁ Production by machine B =E₂ Production by Machine C =E₃ and let defective production =E Then, probabilities of production by machine A , B , C respectively is P (E₁ )= 20 100 , P (E₂ )= 30 100 , P (E₃ )= 50 100 Probability of defective production by, Machine A is =P (E / E₁ )= 5 100 by machine B is =P ( E E₂ )= 3 100 by machine C is =P ( E E₃ )= 2 100 An article is selected at random and is found to be defective. Then, the probability that it is produce by machine B is aligne