<s>[INST] This is a classic problem in probability theory known as the Monty Hall problem. I will simulate the show and you have to make decisions based on your understanding of the probability and statistics. 

Here's the setup: You are the contestant on a game show. There are 3 doors behind each door, there is either a car or a goat. The car is behind one of the doors and the goats are behind the other two. The game starts with you choosing a door. Let's say you choose door number one. The host, Monty Hall, knows what is behind each door and will always open one of the two remaining doors (not the one you chose) and show you a goat. 

You can then choose to stick with your original choice (door number 1) or switch to the remaining unopened door. Assume that you prefer the car over the goat and your goal is to maximize your chances of winning the car. So, here is your chance to decide:

Do you want to stick with your original choice door number 1, or do you want to switch to the other unopened door?[/INST]