Four points A, B, C, and D are chosen at random on the circumference of a circle. Find the probability that chords \(\overline{AB}\) and \(\overline{CD}\) intersect.

Guest Nov 3, 2019

#1**+1 **

If you put any 4 distinct points on a circle then label them A1, A2, B1, B2

Then join the 2 A points together and also join the 2 B points together.

Then exactly half the time they weill cross over each other.

Using this logic I think the probability that they wil cross is 50%.

I have not seen this question before. Maybe I am over simplifying it but it seems logical to me.

Melody Nov 3, 2019