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A fat chance and a slim chance are the same thing
(lemmy.world)
A "Showerthought" is a simple term used to describe the thoughts that pop into your head while you're doing everyday things like taking a shower, driving, or just daydreaming. A showerthought should offer a unique perspective on an ordinary part of life.
I've always loved Mace Windu telling someone "your chances come in two sizes: slim and fat" in an old Star Wars Novell called Shatterpoint.