Read this puzzle somewhere. 2n points are distributed along a circle in equidistant manner. 2 points are chosen at random and a line drawn between them. 2 points are chosen again randomly from the rest of 2n-2 points and line is drawn between them. What is the probability these lines intersect (inside the circle).
Another way to frame the same question is to randomly select 2 points on the circle draw a line and then randomly select another 2. find probability on intersection.
2nd part: Given n chords chosen at random on a circle. What is the expected number of chords that will intersect.
No comments:
Post a Comment