Meta Rate My Team PokéBase - Pokémon Q&A
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I searched and I found 0.
My bro searched and he found 2.
Is it that they're common, or am I just unlucky?

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why don't you tell your brother to trade you the other Old Amber he found?
No, he was using my game. -_-

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I didn't find a source that says what chance you have to get an item so I just did the percentages myself, assuming no item had a bigger chance of appearing.

20% chance to find an item that is both in X and Y
14,3(approximately) chance to find an item that is only in X or only in Y

Since Old Amber is in both games, you would have a 20% chance to get it and I would say you're just unlucky.

Source
Hope I helped.

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Isn't there the chance that you don't uncover anything at all?
^ True