Question

You roll 2 standard 6 sided dice at the same time. What sum are you mast likely to get, what would be thee probability

Answer 1

fill in the table with the appropriate sums and look at the pattern. there are 36 possibilites, and when you fill in the table (which will be useful for later problems) you can see the number of ways to get each sum.

the answer to your question is that the most likely number is 7, but you should fill it in and see how many you get

Answer 2

There is a table you can make for this, takes 2-4 minutes to make and helps you solve all 2 dice rolling questions.

The total number of outcomes is 36, out of which as you can see from the table, 7 is the most common and it occurs 6 times. The sum you are most likely to get is 7 and the probability is 1/6

Answer 3

Here is the matrix of all possibilities
\[\left(
\begin{array}{cccccc}
2 & 3 & 4 & 5 & 6 & 7 \\
3 & 4 & 5 & 6 & 7 & 8 \\
4 & 5 & 6 & 7 & 8 & 9 \\
5 & 6 & 7 & 8 & 9 & 10 \\
6 & 7 & 8 & 9 & 10 & 11 \\
7 & 8 & 9 & 10 & 11 & 12 \\
\end{array}
\right)

\]
The main diagonal is filled with 7's occuring 6 times.