What happens if Uzumaki and Uchiha married each other? Will their offspring have Rinnegan? Ok, I'm wondering .
If Uchiha and Uzumaki have a child together, there are possibility that the child inherited Sharingan right?
Since Uzumaki have ties with Senju then, can the child awaken Rinnegan?
No, just an average/general Uchiha and Uzumaki marriage cannot give birth to a child who is capable of activating Rinnegan. In order to activate Rinnegan one requires chakra of both Indra and Ashura which enables Hagoromo's chakra. Please refer the below url. http://naruto.wikia.com/wiki/Rinnegan