Q. 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?