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Answer
Possible outcomes when two dice are rolled: $S = \{(1, 1), (1, 2), (1, 3), (1, 4),$ _____$, (6, 5), (6, 6)\}$
Therefore, the number of possible outcomes in the sample space is $36.$ The outcomes for the event that the total is odd: $E = \{(1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (3, 6), (4, 1), (4, 3), (4, 5), (5, 2), (5, 4), (5, 6), (6, 1),$ $(6, 3), (6, 5)$
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