This thing is making me pull my hair out: http://en.wikipedia.org/wiki/Bertrand's_box_paradox Can someone give me a good explanation of this? As for the Monty Hall Problem, I think I understand it. This is how I think of it: There is a 1/3 possibilty of picking the correct door and 2/3 possibility of picking the wrong door. And after one of the empty doors has been revealed, then by switching your choice, that 2/3 possibility of picking the wrong door becomes a 2/3 possibility of picking the correct door. -- Is this a legitimate way of understanding it?