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5 fair 8-sided dice are rolled. (a) [3 marks] Find the conditional probability that at least...

5 fair 8-sided dice are rolled.
(a) [3 marks] Find the conditional probability that at least one die lands on 3 given that all 5 dice land on different numbers.
(b) [2 marks] True or False: If X is the minimum of the 5 numbers from one roll, and Y is the sum of the 5 numbers from one roll, then X and Y are independent random variables.

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