Say we want to bake 6 cookies with at least 3 chocolate chips each. We will randomly allocated chocolate chips to each of the 6 cookies until each has at least 3 chocolate chips. The minimum solution will take 18 chocolate chips, but the maximum solution is potentially unbounded. (The average solution is probably a bit above 30.)
If I used dice or a random number generator to try to simulate this problem, will the standard deviation decrease as I generate more 'simulated results'? E.g. 18, 33, 24, etc.