This problem titled How to distribute candies is a terribly incorrect question.This question claims that the candies are identical but the answer takes the assumption that they are all distinct.Not only has this question butchered the ratings of many correct solvers but also it is capable of infusing a terrible misconception in the mind of anyone who attempts it.
So I sincerely request the staff members to immediately take it off the rating scale and give the correct solvers the rating that they deserve and I request all my followers to request a clarification or dispute to this problem to make it easier for the staff to know about this.
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Thanks. I've fixed it.
For more information, you can look my comments in the solution discussion.
It is terrible and to request the solution of problem.
I have posted a message regarding this on @Calvin Lin 's message-board.
Another problem Expected Random Sum Above 1. I guess the denominator should be 2e instead of e2 to match the given answer.
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I had looked at your dispute, and I believe that you missed out a crucial factor of "independence". I've started a solution discussion, and you can try to justify your claim.
I've shown a possible reason why E[S]>2e.