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## Main Question or Discussion Point

Suppose we have infinitely many boxes and the probability of any one box is non-empty is p.

Now if we randomly choose m boxes from them, line them up and name them as box 1, box 2,..., box m. Then for given n and k (k<n<m), what is the probability that there exist a set of n consecutive boxes that we can find k or more non-empty boxes in it?

Anyone know how to approach this question? Thanks.

Now if we randomly choose m boxes from them, line them up and name them as box 1, box 2,..., box m. Then for given n and k (k<n<m), what is the probability that there exist a set of n consecutive boxes that we can find k or more non-empty boxes in it?

Anyone know how to approach this question? Thanks.