Answer:
{(1,H), (2,H), (3,H), (4,H), (5,H), (6,H), (1,T), (2,T), (3,T), (4,T), (5,T), (6,T)}
Step-by-step explanation:
Let X would represent each possible outcome of rolling a six-sided number cube and flipping a coin.
Possible outcomes of rolling a six-sided number cube = { 1, 2, 3, 4, 5, 6 }
Number of possible outcomes of rolling a six-sided number cube = 6
Possible outcomes of flipping a coin = { H, T }
Number of possible outcomes of flipping a coin = 2
Total possible outcomes represented by X are
{(1,H), (2,H), (3,H), (4,H), (5,H), (6,H), (1,T), (2,T), (3,T), (4,T), (5,T), (6,T)}
Number of total possible outcomes represented by X = 6 × 2 = 12
Therefore, the outcomes {(1,H), (2,H), (3,H), (4,H), (5,H), (6,H), (1,T), (2,T), (3,T), (4,T), (5,T), (6,T)} represented by X.
