Mathematical
Bertrand's Paradox
What's the probability a random chord is longer than the triangle side?
Overview
A probability paradox showing that 'random' can have multiple interpretations leading to different answers.
What's the probability a random chord in a circle is longer than the side of an inscribed equilateral triangle? Different methods of randomly choosing chords give different answers: 1/2, 1/3, or 1/4. Which is correct?