(March 13, 2016 at 11:36 am)Excited Penguin Wrote: No random process guarantees that all three doors will be picked, let alone be picked just as much, throughout a certain number of iterations of the game. SO probability has got nothing to do with it.
What does how many times someone picks door 3 have to do with anything, the car is behind a random door every time. We are not calculating the probability of the car being behind specific doors we are calculating the probability of you selecting the door with the car behind it. Which is why your picking 1 door from 3 doors gives you a 33% probability that its behind the door you selected.