What is the probability that a random chord in a circle is longer than the side of an inscribed equilateral triangle?

Note: Joseph Bertrand showed that the answer depends on how you choose the chord "at random." Each method is mathematically valid but yields a different result.

What is the probability that a random chord in a circle is longer than the side of an inscribed equilateral triangle?

Note: Joseph Bertrand showed that the answer depends on how you choose the chord "at random." Each method is mathematically valid but yields a different result.