Circular conundrum

This week’s Riddler problem is short and sweet:

If N points are generated at random places on the perimeter of a circle, what is the probability that you can pick a diameter such that all of those points are on only one side of the newly halved circle?

Here is my solution:
[Show Solution]

3 thoughts on “Circular conundrum”

    1. That works. Why the digression through expectation, though? The probabilty of a disjunction of exclusive events is the sum.

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