4 with prob 1/24, 3 with prob 6/24, 2 with prob 11/24, 1 with prob 6/24
Mean of 25/12
How did you get 2?
Must have counted wrong. Counted again and you are right.
Great problems though. I cannot figure out how to conclude it is the solution you got. Do you do it by induction? I think I could probably get the answer by induction, but haven't bothered trying.
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.