Board Thread:Theories and Speculation/@comment-29769110-20161017201027/@comment-33156027-20171010093246

Sasuke activated Rinnegan only because Hagoromo gave him a lot of his chakra (by yin seal). He could not naturally by himself gain Rinnegan, Sage's chakra took influence on genes which conteins Rinnegan and that's how he achived this power (Naruto got chakra from Hagoromo to but he hasn't suitable genes which conteins doujutsu). Even if Sasuke has these genes (propably like every person with Uchiha bloodline), without Hagoromo's chakra these genes didn't work. So Sarada could inherited these doujutsu genes, but without six paths chakra she never gained Rinnegan, even if her mother is Karin, who's ordinary Uzumaki without six paths chakra and any connection with sage of the six paths. Uzumaki propably like Senju are derived from Asura, but it doesn't mean that every of them had Asura's chakra.