The problem is:
On each round of a game, 20 marbles are distributed at random among five children: Alan, Ben, Carl, Dan, and Ed. Consider the following distributions:
- I) Alan: 4, Ben: 4, Carl: 5, Dan: 4, Ed: 3
- II) Alan: 4, Ben: 4, Carl:4, Dan: 4, Ed: 4
In many rounds of the game, will there be more results of type I or type II?
I guess number II is more probable because they are around $\mu=4$, but I'm not sure that the problem is that easy! Am I correct?