On a regular two dimensional coordinate plane, you have a square with side length 1 unit.

Pick a point within the square at random, and from there travel a random but straight direction .5 units.

What is the probability that you end up still within the square?

(In reply to Solution using graphical logic by Mag)

The only problem is that the chance for ending up in every spot in the round edge square is not the same. It is very unlikely, for example, to end up at the edge of the round edge square, because the exact right spot on the square must be chosen and the exact right direction must be chosen.

Posted by Tristan on 2003-10-19 19:29:02