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So yesterday I was shiny hunting, and I somehow got a shiny Beautifly! Beautifly has a 1% chance of appearing along with Dustox in the Eterna Forest. What are the chances of me getting a full odds, 1% encounter shiny?

Proof: https://m.youtube.com/watch?v=bVWP92axvM0

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Wow! Lucky! I've only seen two shinys in the 8 years I've played Pokemon and I knocked out one of them accidentally!
(the other one sat in my PC box forever until I restarted my game  :) )
I saw my first shiny (Graveler) in Iron Island, but Riley's Lucario killed it. Just this summer I caught a Shiny Zubat and Shiny Hoppip in HG, in the same patch of grass, within a day of each other.

Anyways, I suppose the number woukd be (shiny chance in Gen IV)(chance of encounter).

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Best answer

Assuming that the beautifly is exactly a 1% chance find, the chances of finding it shiny is 1/819200.

1/8192 chance of finding a shiny, and 1/100 chance of the wild Pokemon being Beautifly. Multiply the two and you get 1/819200.

Source: CWegz

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edited by
Source should say CWegz because you didn't even do this math.
wow r00d