I'm not making some fucking random assumption this is a proven FACT...damn
http://members.shaw.ca/ron.blond/TLE...LET/index.html
http://www.cut-the-knot.org/hall.shtml
http://www.ds.unifi.it/VL/VL_EN/games/games6.html
http://www.math.toronto.edu/mathnet/games/monty.html
just google Monty Game Show or something like that...there are a lot of site about it...and a lot of people already spent time on this problem!...
What's fucking next...some random idiots from GFY telling us the Theory of relativity is false? Wake the fuck up already