Also Post, good stuff

If you’re just looking for the 16 tones in order, going by pure chance that’s roughly a 1 in 4.3 billion chance every time it chimes. Assuming this will chime randomly once a second, day in and day out, it could be over a century before you hear the right melody.
Now if you want to hear it with the 2-beat pauses after each 4 chimes, if you figure there’s an equal chance of each pipe chiming or none chiming at all, that’s a 1 in 60 quadrillion chance, and you might be waiting nearly 2 billion years.
And then to chime the right hour after that, not even worrying about the timing, would be 1 in 70 septillion. You might have to wait 2 or 3 quintillion years, which is about 200 million times the estimated age of the universe.

Now, I’m a math guy not a weather one, so I’ve got no clue if this is even close to realistic. But it seems like if you made a hundred or thousand of these and put them in well-traveled places, someone might just hear a rough version of the westminster chimes in your lifetime! I think I’d just about die from awe if I witnessed it.

here’s a pic if anyones interested: http://www.desordre.net/photographie/photographes/robert_frank/baldessari.gif