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Yes. If Monty opens the door by chance there are 3 equally likely cases: There's a 1/3 chance you picked the car and Monty shows you a goat, 1/3 chance you picked a goat and Monty …

I never understood why the 1000 door version was more intuitive. Here's how I understand it. There's 1/3 chance of picking the car. 1/3 of the time you pick the car, switch, and lo…

I think I have a simple explanation. There's 1/3 chance of picking the car. 1/3 of the time you pick the car, switch and lose. 2/3 of the time you pick a goat, switch and win. Why?…