In a certain experiment, a fair six-sided die is rolled twice. Let A be the event that the sum of the two rolls is greater than 8. Let B be the event that at least one of the rolls is a 5. What is the probability of event A given event B has occurred, expressed as P(A|B)?
To solve this problem, you need to find the total outcomes in which at least one roll is a 5, then determine how many of those outcomes also satisfy the condition of having a sum greater than 8.