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The Monty Hall Problem
Another intuitive way to solve this is to reimagine the problem as having 1000 doors instead of 3... and the host opens 998 doors leaving your door and one other. To assume that you then have a 50/50 chance of sticking with your pick and finding the car on your first pick would also basically assume that you are magic. Your intuition should tell you that the host avoided opening the OTHER door for a reason. context |