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In a bulb factory, machines A, B and C ...

In a bulb factory, machines A, B and C manufacture `25%, 35%` and `40%` bulbs respectively. Out of thse bulbs `5%, 4%` and `2%` 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 the machine B.

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