Question: factory has two machines, Machine A and Machine B, manufacturing light bulbs. Machine A and Machine B respectively produce 60% and 40% of the factory's

factory has two machines, Machine A and Machine B, manufacturing light bulbs. Machine A and Machine B respectively produce 60% and 40% of the factory's light bulbs, and their light bulbs are respectively defective with probability 1 10 and 1 5 . A light bulb is chosen at random from the latest batch. Let A be the the event that the chosen light bulb was produced by Machine A, and let D be the event that the chosen light bulb is defective

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