Mathematics - Area Under Curves Question with Solution | TestHub

Let $S$ be the sample space $\because \mathrm{n}(\mathrm{S})=36$ Events [sum greater than 3 but not exceeding 6] $\begin{array}{l}=\{(2,2),(3,1),(1,3),(4,1),(1,4),(5,1)(1,5)\\ (3,2),(2,3),(4,2),(2,4),(3,3)\}\\ \Rightarrow \mathrm{n}(\mathrm{E})=12\\ \therefore \text{ Required probability }=\frac{\mathrm{n}(\mathrm{E})}{\mathrm{n}(\mathrm{S})}=\frac{12}{36}=\frac{1}{3}\end{array}$