Question

If two dice are thrown at the same time, in how many cases will the sum of numbers on the faces of the two dice be 6?

• A. 6
• B. 3
• C. 4
• D. 5

Answer 1

The correct option is D 5

Let us make a table to show all the possible outcomes.

$\begin{array}{ccccccc}& \text{1}& \text{2}& \text{3}& \text{4}& \text{5}& \text{6}\\ 1& 1,1& 1,2& 1,3& 1,4& 1,5& 1,6\\ 2& 2,1& 2,2& 2,3& 2,4& 2,5& 2,6\\ 3& 3,1& 3,2& 3,3& 3,4& 3,5& 3,6\\ 4& 4,1& 4,2& 4,3& 4,4& 4,5& 4,6\\ 5& 5,1& 5,2& 5,3& 5,4& 5,5& 5,6\\ 6& 6,1& 6,2& 6,3& 6,4& 6,5& 6,6\end{array}$

A sum of 6 is obtained when 1 & 5 are obtained, 2 & 4 and 3 & 3 obtained. So 6 is obtained in 5 possible ways.