I have read through around 10 articles and webpages on this problem, and still don’t understand. I’ve run simulations and yes, switching does get you better odds, but why?
In: Mathematics
The way it makes sense to me is:
Switching will only get you a goat if you picked the door with the car first (1/3 chance).
If you picked either goat first, switching will get you the car (2/3 chance).
It works because the host always reveals a goat after you pick.
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