PokéBase - Pokémon Q&A
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So after scanning through this for a minute, I noticed that Mew, Celebi, and Shaymin have a 100% chance of holding a Lum Berry in a wild encounter in every game since they were introduced. Jirachi and Meloetta have a 100% chance of holding a Star Piece. Why is this? In most of these games they are unencounterable, but what is the purpose of this in the first place?

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i have no idea tbh, i was wondering that too. maybe for event or hacking purposes? +1
It's possible to encounter Mew and Shaymin in some games, but you need event exclusive key items.
Ik, but Jirachi and Meloetta have never been encounterable ever in any main series game to my knowledge

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Best answer

Through a bit of scrolling, I think I found the answer!

This is a list of Pokémon by the items they may be holding when caught from the wild from Generation III onward. Note that not all Pokémon listed can be caught legitimately in the wild, but their held item exists in the game's programming.

In other words, they're programmed that way, which implies this list was datamined and confirmed.

We don’t know why they programmed it this way.

Source

Hope this helps!

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I understand that it's in the game's programming, otherwise it wouldnt be on the list. I was asking why they are programmed to have these items.
I think the simple answer to that is *we don’t know*. We can only speculate why but other than that, I think it’s impossible to know unless they say something officially (which, they haven’t.)
Thanks then