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
There are 3 doors(A/B/C), one with a car and other two with goats.
Points you should remember
1) The host knows which door has the car
2) The host will never open the door with the car
Let’s say you pick door A, at this point you have 1/3 chance of picking the car. Meaning there is a 66.66% chance you will pick a goat.
Now the host revels one door which has a goat and gives you a choice to change your initial choice. Since you have a much higher change of picking a goat in the initial choice and the host will always reveal the door with the goat, switching is your best chance of wining. (You have 2/3 chance of winning if you switch)
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