Sum of roll of N dice

[Csaba Tizedes]

(05-04-2018 12:23 AM)SlideRule Wrote:  

(05-03-2018 08:16 AM)Csaba Tizedes Wrote:  N×3.5
N is the number of dices.

Cs.

I find more evidence to support your statement than other(s). Please follow up with your reasoning/analysis, if only for my benefit.

BEST!
SlideRule

May I do not understand your English, but:

N×3.5 was my first intuitive thought about it.

If I want to understand it, it can be summarize in two simple steps:
1.) The expected value (E()) of one dice rolling(X) is E(X)=3.5 ( =(1+2+3+4+5+6)/6 )
2.) The expected value has a linear property: expected value of sum of N dice rolling is E(X+X+...+X)=E(X)+E(X)+...+E(X)=N×E(X)

This is the most probably value of the sum of N dice rolling.

I think the Joe Horn's question is not exact. Maybe the better answer is "between N and 6×N".

Cs.