Suspend disbelief, maybe.

It doesn't cost anything.  Look in the dark places under rocks and behind the refrigerator.

Things don't have to make sense to be true.  They don't have to follow the rules someone told you the universe works according to.

For instance, can jackpots won be somehow different from all the draws nobody wins?

I don't know.

But I do know if you watch the numbers that win, as opposed to the ones that roll, you'll find after you do it a while that those dark places having numbers lurking, behaving as they oughtn't.

Here are the jackpots from the 24th of October:

10/24/2005 01-05-09-29, Bonus: 24
10/24/2005 06-20-21-27-29
10/24/2005 03-13-33-36-39
10/24/2005 01-06-13-28-39
10/22/2005 02-06-13-24-27
10/22/2005 05-15-20-22-30, Extra: 02

Maybe those jackpot winner numbers bear watching more than we generally do, even if doing so admits the world is a bit insane.  But aren't we all?

Jack