1. A certain plant runs three shifts per day. Of all the items produced by the plant, 50% of them are produced on the first shift, 30% on the second shift, and 20% on the third shift. Of all the items produced on the first shift, 1% are defective, while 2% of the items produced on the second shift and 3% of the items produced on the third shift are defective. An item is sampled at random from the day's production, and it turns out to be non-defective. What is the probability that it was manufactured during the third shift?

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