The sample space of the experiment where Sam rolls a fair six-sided die consists of all the possible outcomes of that roll. Since a six-sided die has faces numbered from 1 to 6, the sample space can be represented as:
\[ {1, 2, 3, 4, 5, 6} \]
So the correct response is:
{1, 2, 3, 4, 5, 6}