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
Ok. You pick a goat in round one. Host says do you want to change your mind? You say no- the game is over and you lose. You say yes, he opens 1/2 of the remaining doors and shows you where 1/2 goats are. Because the host shows you where the car is NOT, the chances of winning increased from 1/3 to 1/2. This is conditional probability. probability of A|B (A given B) 👍
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