The problem is:
An alternative method to generating your character is by rolling four six sided dice
and summing only the three highest. What is the expected value and variance of this
procedure?
The previous question had the same calculation but by simply rolling 3 dice instead of 4 and summing all of them. What effect does adding the fourth dice have? Does is raise the expected value?
Best Answer
This was computed by the following Python program:
The answer is: yes, it raises the mean (from $10.5$), but it reduces the variance (from $8.75$).