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A a box contains $N$ balls. In each step, we remove some number of balls from the box according to some distribution, where the distributions are independent but not identical. We don't know any other details of the distributions but their averages. It means in the first step in an average $a_1$ fraction of balls are removed, In the second step $a_2$

**of the remaining**and in the third $a_3$

**of the remaining balls in an average**and so on...until the number of balls become zero. I have to find out the average steps required to terminate the process. Consider $a_{i}=e^{-(\frac{1}{i})}$

regards,

Bincy