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Data is stored in $n$ memory blocks. A user reads the blocks in random order (uniform distribution). Find the probability that each block was read no more than $k$ times, provided that there were a total of $m$ readings.

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    $\begingroup$ What are your thoughts? $\endgroup$
    – pwerth
    Commented Jan 21, 2019 at 20:13
  • $\begingroup$ 1 - (n * p(m - k + 1)) $\endgroup$ Commented Jan 21, 2019 at 20:40

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The problem seems to be equivalent to : place randomly $m$ balls into $n$ urns, find the probability that no urn has more than $k$ balls.

This does not have a simple (exact) solution.

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