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Answer
The sample space of a random experiment of throwing one balanced die and a balanced coin simultaneously is obtained as follows: $U = \{(1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (1, T), (2, T), (3, T), (4, T), (5, T), (6, T)\}$
Where, $H =$ Head; $T =$ Tail; $1, 2, 3, 4, 5, 6=$ Numbers on die.
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