Sample Space Diagrams

A spinner with $n$ sides is spun and the number it lands on is noted. The same spinner is then spun again, and the number shown the second time is added to the number shown the first time. A sample space diagram is drawn to show the possible outcomes. How many entries are in sample space diagram?

Two fair dice, each of which has six faces labelled $1,2,3,4,5$ and $6$ respectively, are thrown and the numbers shown on the two dice are added.

Sura says that because there are $11$ possible results of adding the two numbers shown $\left(2,3,4,5,6,7,8,9,10,11 \mathrm{and} 12\right)$ then the probability that the sum of the two numbers is $12$ is $\frac{1}{11}$. Explain why this is not the case.