h a l f b a k e r y
The embarrassing drunkard uncle of invention.
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Just like a normal lottery, except that the numbers are chosen by a hermit, living on a remote (and secret) island. The tension of watching this hermit arbitrarily choosing numbers which could make you rich will be unbearable.
People being what they are, the distribuion of choices won't be random,
so different numbers will come to have different odds associated with them.