Three chords are drawn randomly and uniformly in a circle. Here each chord is established using random end point method, i.e. the endpoints of any chord are two points chosen randomly, uniformity and independently on the circumference of the circle. Now what is the probability that they intersect at a single point?
In the case of two chords, it is easy to find the probability of intersecting using symmetry of the circle. But It gets tricky when it comes to three or more chords.
Can a generalized formula be obtained for N number of chords?