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In a bulb factory, machines A, B and C manufactures 60%, 30% and 10% bulbs respectively. Out of these bulbs

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In a bulb factory, machines A, B and C manufactures 60%, 30% and 10% bulbs respectively. Out of these bulbs 1%, 2% and 3% of the bulbs produced respectively by A, B and C are found to be defective. A bulb is picked up at random from the total production and found to be defective. Find the probability that this bulb was produced by machine A. Select the correct answer from above options

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Let A : Manufactured from machine A B : Manufactured from machine B C : Manufactured from machine C D : Defective bulb We want to find P(A|D), i.e. probability of selected defective bulb is from machine A Conclusion: Therefore, the probability of selected defective bulb is from machine A is 2 5

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