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A factory uses three machines X, Y, Z to produce certain items. Suppose, Machine X produces 50% of the items of which 3% are defective,

A factory uses three machines X, Y, Z to produce certain items. Suppose, Machine X produces 50% of the items of which 3% are defective, Machine Y produces 30% of the items of which 4% are defective and Machine Z produces 20% of the items of which 5% are defective. Find the probability that a randomly selected item is defective.

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