Just a quick setup I put together to test the experimental results of the Monty hall problem in comparison to the theoretical results. The arrow is what you are guessing. Another explanation I discovered when coding this, other than the 100 doors explanation is imagine that instead of the game master picking the door he knows has no goat (out of b and c), c will always be the one with the goat, and the game master will always open c. (which is the same thing). This means that the probability of door c having a car is going into door b, which means door b will have 2/3 chance of a car. A question I have is, what happens if you initially pick door A, the game person opens door b, then you pretend your initial choice was door c? Technically your initial decision shouldn't affect anything but I feel like it does. And what happens if the person opens one of the other doors at random and finds a goat? Do the probabilities still get shifted? Please let me know if you know the answer. Credits: The Monty Hall problem was first posed and solved by biostatistician Steve Selvin I got the goat image from pinterst, not sure its original creator. "Is the goat or the car the prize?" De, 2024
