In a throw of 1 unbiased dice, what is the most probable sum of the numbers that show on the upper surface of dice?
I know how to find the most probable number that appears on the upper surface of dice By doing this (1,1)(1,2)(1,3)......
Most probable number in this case is 7
But how to do the same in case of 13 dice?
In the case of dice, which include all consecutive numbers between 1 and 6, the most likely sum of multiple dice is logically going to be, due to symmetry of the probability distribution, the center value(s). For the example of two dice the possible range is 2-12, the center value is 7. The possible range would be: 13-78, in this case the center values are 45 and 46. For a detailed explanation see here:
https://stats.stackexchange.com/questions/3614/how-to-easily-determine-the-results-distribution-for-multiple-dice