PokéBase - Pokémon Q&A
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So I have a male Greninja with Protean and a female Frogadier with Torrent. What are the chances that my Froakies get Protean?

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1 Answer

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Zero.

In your case you need a female Froakie/ Frogadier/ Greninja with Protean, and a male of the same egg group. The male doesn't matter in this case and can be any species as long as he's in the same egg group.

Male Pokemon have a 20% chance of passing down their hidden ability only when breeding with a Ditto.

Bulbapedia - inheriting abilities

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K thanks. I guess it's more painful hours of scouring the Friend Safari  for a female Frogadier with Protean :P
or just get a ditto