one can think of the monty hall problem as betting on the random chance you chose right the first time, or betting that you didn't. and since there are always more than 2 doors, the odds you chose correctly are always less than that you didn't, so switching and betting that you didn't choose correctly at first is the winning move.
@berserkx33 yeah :3 it's not intuitively obvious at first, and it took me a while to get it too. glad to share it with you here