i think we can use poisson distribution formulae for it.

On Oct 7, 2:02 pm, malli <mallesh...@gmail.com> wrote:
> An interesting puzzle. Assume size of each bird to be negligibly
> small. Please provide your answers with analysis.
>
> Take a wire stretched between two posts, and have a large number of
> birds land on it at random. Take a bucket of yellow paint, and for
> each bird, paint the interval from it to its closest neighbour. The
> question is: what proportion of the wire will be painted. More
> strictly: as the number of birds goes to infinity, what is the limit
> of the expected value of the proportion of painted wire, assuming a
> uniform probability distribution of birds on the wire.

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