Conditional Probability of Not Defective Given Quality Control

Consider a company that has a record of producing defective products. The probability that a product is defective is given as $P(D) = 0.1$. If a product is found to be defective, the probability that it had previously undergone quality control is $P(Q | D) = 0.6$. What is the probability that a product is not defective given that it had undergone quality control?

To find this, we need to apply the concept of conditional probability and the complement rule. Recall that the probability of the complement of an event $A$ is given by $P(A') = 1 - P(A)$.