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A production line is equipped with two quality-control check points that tests all items on the line. At check point #1, 10% of all items failed the test. At check point #2, 12% of all items failed the test. We also know that 3% of all items failed both tests.
A. If an item failed at check point #1, what is the probability that it also failed at check point #2?
B. If an item failed at check point #2, what is the probability that it also failed at check point #1?
C. What is the probability that an item failed at check point #1 or at check point #2?
D. What is the probability that an item failed at neither of the check points?
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