An online friend of mine did this not too long ago. She did a video in which she held a large glass bowl (or jar) while her husband reached in and drew the winner for all to see.

I like icedowl's suggestion a lot, but it's probably overkill for 15 correct entries.

A javaScript (or other language) array immediately springs to mind.

I also saw an Outlook/Powershell method that should do it directly from your Inbox.

...

Cool, I'll probably just draw the winners out of a hat - the old fashioned way - keep it simple.

Ya, I was thinking some computer way of doing it but - like a random contest winner picker script but I think the old fashioned way is actually just funner. :)

I suppose your right, you would have to figure out a different way if you had like 5,000 correct entries... That would take alot of paper and scissor cutting.

for 15 entries the quickest and easiest way is probably to write the numbers 1 to 15 on slips of paper and pull them from a hat. There are occasions where "old" technology is still the most appropriate.

I like icedowls suggestion as you can also get a little bit of publicity by applying it.
Send an email to your list with a link to the youtube video. Make it kind of viral, like next time it could be YOU who wins.

Simple. First entry you received gets number 1, the last is 15. Then you go here:

[random.org...]

Just did the drawing for you, the winner is number 10.

Definitely do the video, the customer interaction you can get doing this is worth far more than you imagine.

I would just run a random user script and call it a day.

But I guess that would be pretty boring.