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Let \(S\) represent the sum of the numbers obtained when rolling two fair six-sided dice: a red die

and a blue die

. Identify the possible values of \(S\).
Choose the one correct answer:

\(\{1, 2\}\),
\(\{1, 2, 3, 4, 5, 6\}\),
\(\{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}\),
\(\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}\).