Question

what is the sample space if roll two dice let X be the random variable

Answer 1

Two dice are rolled. Let X be a random variable denoting the sum of the numbers on the two dice.

$$\def\arraystretch{1.5} \begin{array}{c:c:c:c:c:c:c} & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ \hdashline 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hdashline 3 & 4 & 5 & 6 & 7 & 8 & 9 \\ \hdashline 4 & 5 & 6 & 7 & 8 & 9 & 10\\ \hdashline 5 & 6 & 7 & 8 & 9 & 10 & 11 \\ \hdashline 6 & 7 & 8 & 9 &10 & 11 & 12 \\ \hdashline \end{array}$$

Sample space consists of 11 values

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