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In Gen III, FireRed /LeafGreen, chansey can be caught with chance of holding a lucky egg.
what is the chance of encountering(or even catching) Shiny Chansey with lucky egg?

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Best chance of finding Chansey in Safari Zone - 1/25
Chance of shiny - 1/8192
Chance of Chansey holding a Lucky Egg - 1/20

Multiply together, and you get 1 / 4096000
So it's one in 4 million actually.

And that's just of finding one...Try catching it.

Source: Serebii Fourms

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