I just came up with what I believe in my arrogance to be the simplest and hence the best possible explanation to Monty Hall's Dilemma. It's at http://www.cut-the-knot.org/Curriculum/Probability/MontyHall.shtml.

Who needs Monty?

Indeed, assume you (the contestant) are given a chance to point to a door and, after a while, offered to either open this door or the other two, i.e., both of them. Every one knows up front that behind one of these doors there's a goat. Of course, there may be a goat behind the other door as well. You receive the prize provided you open a door behind which it is. What should you do?

We may go further, and do away with the need to make a decision: to switch or not to switch. Point to a door, say magic words, and let all three doors open at once. Your only function is to keep scores: would you win if you switched, would you win if you did not. Monty is around there available to do you a favor and open a door with a goat behind, saving you a physical effort. Do you care for his help?