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So a couple weeks ago I had the Zebstrika event (I ran from Cresselia to explore and found a shiny Zebstrika on the new Mirage island). I saw this question so I beat the League and went to the island again when it showed up. I have no problem encountering it, just wondering if it can it be shiny since I ran away from it the first time.

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I’m 99% sure it’s possible, but I’m not 100% and have no source other than common sense so
I assume so too, but I don't want to continue wasting my time shiny hunting something that "doesn't exist".

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Yes, it can still be shiny. The only time any Pokémon game saves the stats (and shininess) of a wild Pokémon across multiple encounters is for roamers, which ORAS doesn’t have. Every time you encounter Cresselia should be a completely unique encounter with an independent shiny value.

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Oh! Answered right when I commented. Thanks that's good to know.