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
You have a 2/3 chance to pick the goat on the initial pick, but switching in this situation is a guaranteed win since the host will remove the other goat door always leaving the prize as the other door. By always switching, the time you lose is 1/3 time you actually picked right from the start. If you stick with your choice, it’s 1/3 chances to win. If you always switch, it’s 2/3 chances to win.
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