A coin is tossed. If the outcome is a head, a die is thrown. If the die shows up an even number the die is thrown again, what is the sample space for the experiment.

When a coin is tossed if the outcome is a head then a die is rolled. On getting 2, 4 or 6 on the die it is rolled again. In last throw the outcome on the die may be 1,2, 3, 4, 5 or 6. Hence we denote the outcome of the experiment by H21 and so on. The sample space is given by:

S = {T, H1, H3, H5, H21, H22, H23, H24, H25, H26, H41, H42, H43, H44, H45, H46, H61, H62, H63, H64, H65, H66}