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 by Charlie)

Of course the idea was to come up with the probability that you are still within the square, not that you are outside the square, so the answer is 1 - .5570423008216342, or .4429576991783658, that is, 1 - 1.75/pi.

Posted by Charlie on 2003-10-19 19:22:41