(I am 75% sure this has been asked before, but l can't find it!)
So yeah, just as the question says, if l breed a Kangaskhan with the Dream World ability Inner Focus, will the offspring have the ability Inner Focus too?
Female Pokémon with Hidden Abilities can pass on the Hidden Ability t their offspring. Ditto count as male for this purpose. For example, if a female Darmanitan with Zen Mode bred with a male Simisage, the offspring Darumaka may have Inner Focus instead of the usual Hustle and would evolve into a Darmanitan with Zen Mode, instead of Sheer Force. However, it should be noted that there is also a chance of not passing on the ability. http://bulbapedia.bulbagarden.net/wiki/ DreamWorld#Breedingmechanics
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