Items in your inventory are produced at three different plants: 50% from plant A1, 30% from plant A2 and 20% from plant A3. You are aware that your plants produce at different levels of quality: A1 produces 5 percent defectives, A2 produces 7 percent defectives and A3 yields 8 percent defectives. You randomly select an item from your inventory and it turns out to be defective. Which plant is the item most likely to have come from?
Plant A1
Plant A2
Plant A3