A robotic arm reaches into a box of manufactured parts and picks them out one by one for inspection. Once the item is inspected, if it is a defective it is discarded and if it passes the inspection, it is put on a conveyor belt and sent for further processing. Once the robotic arm either discards a part or puts one on the conveyor belt for further processing, it reaches into the box for the next part. A new box arrives and there are 55 parts in it. We know that this box contains 3 defective parts. what is the probability that the robotic arm will retrieve a defective part on the first time, but not on the second and third times it reaches into the box?

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