Rolling Two Die
Probability
Level
2
Sam is rolling two die and adding the sum that appears on the two faces. Which sum is most likely to occur?
6
4
5
7
9
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\[\begin{array}{c|cccccc} &1 &2 &3 &4 &5 &6 \\ \hline \\ 1& 2& 3& 4& 5& 6& {\color{Blue}{7}}& \\ 2& 3& 4& 5& 6& {\color{Blue}{7}}& 8& \\ 3& 4& 5& 6& {\color{Blue}{7}}& 8& 9& \\ 4& 5& 6& {\color{Blue}{7}}& 8& 9& 10& \\ 5& 6& {\color{Blue}{7}}& 8& 9& 10& 11& \\ 6& {\color{Blue}{7}}& 8& 9& 10& 11& 12& \end{array}
\implies \frac{6}{36}
\implies \boxed{\frac{1}{6}}\]
7 appears the most times with a probability of 6 1