Читать книгу Probability and Statistical Inference - Robert Bartoszynski - Страница 49

A chord is chosen at random in a circle. What is the probability that the length of the chord will exceed the length of the side of an equilateral triangle inscribed in the circle?

This problem was originally posed in 1888 by Joseph Bertrand, a French mathematician, who provided three solutions, all valid, but yielding inconsistent results.