> Monty hall offers you the opportunity to pick between three doors. Behind one of them is a new car, and behind the other two are goats. The doors are transparent and you're able to see clearly that the car is behind door number one. He asks you to choose a door, and you select door number one, since you want the car. He opens door number two and shows that there is a goat behind it. Then you have the opportunity to stay with your original choice, or switch doors. What should you do?
ChatGPT> You should switch doors. The probability of the car being behind door 1 is 1/3. After the host opens door number 2 and you know that a goat is there, the probability of the car being behind door 1 does not change, it is still 1/3. But now you know that the car is behind door 3 with probability of 2/3. So you will have a higher chance of winning the car by switching your door selection.