I think it's easier to understand if you use more doors. There are 10 doors and you pick one at random. Now Monty Hall opens 8 other doors and they're all goa

I think it's easier to understand if you use more doors. There are 10 doors and you pick one at random. Now Monty Hall opens 8 other doors and they're all goats. So that leaves you with your original choice or the other door that hasn't opened. What does your gut feeling say you should do now? If the number of total number doors is more or less, how much does that change your gut feeling?