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A probability of finding m cells empty when you have r+1 objects is comprised of a probability of finding m cells empty when you have r objects and an additional object is placed in one of the occupied cells, and a probability of finding m+1 cells empty when you have r objects and an additional object is placed in one of the empty cells.

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    Thanks for your reply. I am working on the question 9 and statement in your reply to prove it practically as well as theoretically.

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