According to the question, a coin is tossed and the die is rolled.
So, when coin is tossed there will be 2 events that is either Head or tail,
According to question, If Head occurs on coin then Die will be rolled out otherwise not.
So, the sample spaces are:
S = {(T, (H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)}
∴ The sample space is {T, (H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)1}