A com 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?

Answer

N/a

Explanation

In a toss of a coin `H` or `T` are shown. When `H` occurs, a die is thrown to get 1,2,3,4, or 6.
When an even number 2,4, or 6 occurs again a die is thrown to get `1,2,3,4,5` or 6..
Therefore sample space
`={T,H1,H3,H5,H21,H23,H24,H25,H26`,
`H41,H42,H43,H44,H45,H46,H61, H62,H63`,
`H64,H65,H66}`