Each entry in the table is either a 1 or a 0. I need to randomly select an entry from columns 2-11, sum up their values and record the sum (will be a number between 0 and 10).

If you select randomly an entry, then the result will be either 0 or 1, not a number between 0 and 10. Or did I miss out something? Anyway, I don't quite see the connexion between what you describe and your explanation of what your program does. So I probably missed something.

Can you provide the code you are using, we are more likely to understand exactly what you are trying to do and also to see if we can spot an opportunity for performance improvement.