A total of n balls, numbered 1 through n, are put into n urns, also numbered 1 through n in such a way that ball i is equally likely to go into any of the urns 1, 2, ..., i. Find (a) the expected number of urns that are empty; (b) the probability that none of the urns is empty.

Answer :

Answer:

(a) = [tex]\frac{n-1}{2}[/tex]   (b) [tex]\frac{1}{n!}[/tex]  

Step-by-step explanation:

I have solved this problem on paper (Attached)

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