[Math] Most probable sum of $2$ dice

probability

A die has 20 identical equilateral triangular faces numbered from 1 to 20. If
two such dice are rolled the most probable sum of the numbers showing on the
top faces is $x$. Determine $x$

How do I do this? I'm not sure how to start. Any hints?

Best Answer

If it were a typical cubical die, numbered $1$ through $6$, the possible combinations would be $$\begin{array}{c|cccccc} & 1 & 2 & 3 & 4 & 5 & 6 \\\hline 1 & 2 & 3 & 4 & 5 & 6 & 7\\ 2 & 3 & 4 & 5 & 6 & 7 & 8\\ 3 & 4 & 5 & 6 & 7 & 8 & 9\\ 4 & 5 & 6 & 7 & 8 & 9 & 10\\ 5 & 6 & 7 & 8 & 9 & 10 & 11\\ 6 & 7 & 8 & 9 & 10 & 11 & 12 \end{array}$$ What's the most probable sum in this case? Do you see what the answer is for your die now?

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