Let's roll 2 dice

Probability Level 1

Two fair 6-sided dice are rolled. What is the probability of having a sum of 7?

1/6 1/2 1 1/12

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A Former Brilliant Member by A Former Brilliant Member

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2 solutions

P = 6/36 = 1/6

1+ 6,

2 +5,

3+ 4,

4+ 3,

5+ 2,

and

6+ 1

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Mahdi Raza
May 13, 2020

\[\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}}\]

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