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Determine the sample space of random variable $Y$ such that $Y=2X$ where $X$ is the experiment of observing an outcome from rolling a six-sided die.

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

$\{.5,1,1.5,2,2.5,3\}$

$\{1,2,3\}$

$\{2,4,6,8,10,12\}$

$\{2,3,4,5,6,7,8,9,10,11,12\}$