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					Originally Posted by  Strange Famous
					 
				 
				I understand what I typed, but I dont understand how it can be possible! 
			
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 If you look at your example, and read my previous post, you'll see your answer.
Monty is NOT opening a door at random.  If he did that, sometimes (1 out of 3 times) he'd reveal the car.  But he never does.  If you work your examples so that he opens a door at random, you'd have more choices, and you would end up only winning half the time, as you expect.  But because he ONLY opens a door with a goat behind it, he changes the probabilities of the outcome from the original conditions, favouring the switch.