Article ID: | iaor20043306 |
Country: | Netherlands |
Volume: | 32 |
Issue: | 2 |
Start Page Number: | 99 |
End Page Number: | 102 |
Publication Date: | Mar 2004 |
Journal: | Operations Research Letters |
Authors: | Rosenberg Eric |
We calculate the expected length of a random line segment in a rectangle, using a line making a random angle with the horizontal axis and having a random distance to a corner of the rectangle. Our result differs from previous calculations based upon two randomly placed points, and can be viewed as extending Bertrand's paradox to an important problem in geometric probability.