[ELI5] How does low entropy hurt security?

I’m hoping for an intuitive answer to why low entropy matters, in general. I get why predictability is bad and why high entropy yields low predictability.

What I don’t have good intuition for is why low entropy would always imply high predictability. In particular, I’m thinking about the Feynman quip along the lines of “Today I saw the license plate CDU 778. What are the odds?” The point being that every particular sequence is equally improbable.

So, why would 12 numbers that pop into my head be predictable? I get that they have lower entropy than 12 truly randomly drawn words but what actually makes them easier to find? How would someone actually go about finding them?

https://stacker.news/items/1540905

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