I got a unit square, the origin (0,0) and two random points which are uniformly distributed on the 1x1 unit square. What is the average distance in maximum norm from origin to the nearer of the two random points?
So for example we've got (0,0) and (0.4,0.3) and (0.2,0,9) as random points => distance to origin in maximum norm is 0.4 and 0.9 => so the minimum would be 0.4.
I already know that the average distance between origin and ONE random point in a unit square is 2/3 (maximum norm)...
Thanks for your help.