advanced probability, please help this questions with clear step and explanation, thank you

15. Parts leaving an assemny line are examined by two inspectors. Each inspector detects 35% of the defective parts, and 80% of the defective parts are detected by both inspectors. (a) What is the probability that a defective part will be detected by at least one of the inspectors? (b) What is the probability that a defective part not detected by the rst inspector will be detected by the second? (c) A batch of output contains three defective parts. What is the probability that both inspectors will fail to detect at least one of these parts? Assume that detection of one defective part is independent of another