Consider the experiment where two fair six-sided dice are rolled and their face values recorded. a) Given the following events: A = {(3, 5)} B = a 4 is rolled on the first die C = a 5 is rolled on the second die D = the sum of the dice is 7 E = {(7,4)} Find the following: i. B ∩ D and B ∪ D ∪ A ∩ C′ ii. A ∩ D and A ∪ D′ ∩ B

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