I ran into yet another explanation of the Monty Hall problem the other day that was rather difficult to follow and it struck me that even though it's a simple problem, I still have not seen an explanation that makes intuitive sense. So here's my take at it.
In case you haven't seen it before, the problem goes a bit like this. You are faced with three doors. Behind one door is a new car and behind the other two doors are goats. Choose a door.