Two dice are rolled. Let A = {the sum of the dice is odd}, B = {at

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Two dice are rolled. Let A = {the sum of the dice is odd}, B = {at least one die is even}, C = {at least one die is odd}. For each pair of these events, figure out whether the events in the pair are disjoint. Compare the events in each of the following pairs of events: A and B ∪ C, A and BC, AB and C, AC and B, AcB and AcC, ABC and BC.

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