Find the sample space for the indicated experiment: A coin is tossed and then a die is rolled only in case a head is shown on the coin.

Suppose a coin is tossed and head appears. Then a die is rolled and 1 appears on the die. We denote this outcome by an ordered pair (H, 1). If suppose tail appears then the die cannot be rolled and in this case there will be outcome T only. The sample space is given by:

S = {(H, 1), (H, 2), (H, 3), (H. 4), (H, 5), (H, 6), T}