Sam rolls a fair six-sided die. What is the sample space of this experiment?

{1, 2, 3, 4, 5, 6}
{2, 4, 6}
{1, 3, 5}
{1, 2, 3, 4, 5}

1 answer

The sample space of an experiment is the set of all possible outcomes. When Sam rolls a fair six-sided die, the possible outcomes are the numbers on the faces of the die: 1, 2, 3, 4, 5, and 6.

Therefore, the sample space is: \[ {1, 2, 3, 4, 5, 6} \]

So the correct answer is: \({1, 2, 3, 4, 5, 6}\).