[xboxnolifes]

The best way I've seen the monty hall problem explanation improved upon was by increasing the number of doors. The difference between a 1/2 and 1/3 chance is so subtle to a human. Change it to 1,000,000 doors and suddenly it becomes very obvious why your odds improve on swapping.

[wruza]

Tbh it was never very obvious to me why we reveal N-2 goats instead of just 1.

My own explanation is that if you are shown a goat door in advance, there is 50/50 of two remaining doors. But since without that you might have picked the door that was revealed, there’s a symmetry about it in which the swap is more lucky. Which is just a clumsy way of saying your chances were 2/3 lose vs 1/3 win and it doesn’t change after the reveal, so you must swap.