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Let \(S\) represent the sum of the numbers obtained when rolling two fair four-sided dice, each numbered 1, 2, 3, and 4:
. Identify the probability distribution of \(S\).
Choose the one correct answer:
\(s\)
2
3
4
5
6
7
8
\(P(S = s)\)
\(\frac{1}{7}\)
\(\frac{1}{7}\)
\(\frac{1}{7}\)
\(\frac{1}{7}\)
\(\frac{1}{7}\)
\(\frac{1}{7}\)
\(\frac{1}{7}\)
\(s\)
2
3
4
5
6
7
8
\(P(S = s)\)
\(\frac{1}{16}\)
\(\frac{2}{16}\)
\(\frac{3}{16}\)
\(\frac{4}{16}\)
\(\frac{3}{16}\)
\(\frac{2}{16}\)
\(\frac{1}{16}\)
\(s\)
2
3
4
5
6
7
8
\(P(S = s)\)
\(\frac{1}{16}\)
\(\frac{2}{16}\)
\(\frac{3}{16}\)
\(\frac{4}{16}\)
\(\frac{5}{16}\)
\(\frac{6}{16}\)
\(\frac{7}{16}\)
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