Problem bank
Problem 276 of 333MediumProbabilityP276
Does the triangle contain the center?
Three points are chosen independently and uniformly at random on a circle. What is the probability that the triangle they form contains the center of the circle? What is the answer for the quadrilateral formed by four such points?
See the hint and solution with a free account
Every problem on Quant Engine is free, with a hint and a full worked solution. Making an account takes 30 seconds and no card. Then you can see them and track what you have solved.