Given a Circle, What is the probability to draw a chord larger than the length of an equilateral triangle inscribed in the circle.

Seems like the answer should be [math]\frac{1}{3}[/math].[br][br]This is not the only method of solving this problem. [br]Here is a [url=https://beta.geogebra.org/m/W3av3g5n#material/JrtK9W3q]link [/url] to a second method, and [url=https://beta.geogebra.org/m/W3av3g5n#material/bqECsYGV]here [/url]to a third. [br]