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Bertrand's paradox.
Finding a solution to a straightforward probability question may depend on the context. Investigating the probability for a line to cross a circle with a length smaller than that of the side of the inscribed equilateral triangle gives different answers if one considers intersection with a radius of the circle (1/2), position with respect to a summit of the triangle (1/3) or intersection with the homothetic circle with half the circle's radius (1/4).
