From a regular polygon of 50 - sides , you have to select 3 vertices ( at random) .You selected the triplets \(n \) times .

What is the value of \(n\) to surely say that you have at least a triplet which form obtuse- angled triangle upon joining.

Assumptions :

After selecting first triplet, for the second triplet you have to select again from the 50- vertices (not from the left 47 vertices)

No repetition of the same triplet is allowed

You are selecting the vertices with eyes closed. (You can't check , whether the condition is satisfied)

Try my set : Let's play with polygons

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