Find probability that first is good but second is defective


Problem:

In a production run of 300 units, there are exactly 20 defective items and 280 good items.

Question 1) What is the probability that a randomly selected item is defective?

Question 2) If two items are sampled without replacement, what is the probability that both are good?

Question 3) If two items are randomly sampled without replacement, what is the probability that the first is good but the second is defective. Solve the problem and show all work.

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Operation Management: Find probability that first is good but second is defective
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