When two fair dice are rolled and $X$ denotes the sum of the upper faces, the range of $X$ is:
A$\{2, 3, ..., 12\}$
B$\{1, 2, ..., 12\}$
C$\{0, 1, ..., 12\}$
D$\{1, 2, ..., 36\}$
Answer & Solution
Correct answer: A. $\{2, 3, ..., 12\}$
Each die shows 1 to 6. Minimum sum 1+1 = 2, maximum sum 6+6 = 12. So range = {2, 3, 4, …, 12}. (11 distinct values out of 36 outcomes.)
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