Question
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?
Solution
A coin is tossed. The sample space,
For T, there is no further action.
For H, a die is rolled with sample space
For H1, H3, H5, no further action.
For H2, H4, H6, die is rolled again
∴ The combined space is
S = {T, H1, H3, H5, H21, H22, H23, H24, H25, H26, H41, H42, H43, H44, H45, H46, H61, H62, H63, H64, H65, H66}
