One day banks will accept Bitcoin as medium of exchange and accept deposits from bitcoiners. As soon as the world powers accept it as medium of exchange.
Speaking of possibilities, there is potential for banks to accept Bitcoin as an alternative currency. This could happen if banks confession towards Bitcoin, or perhaps are forced to accept Bitcoin, and these are due to several factors, such as widespread adoption and acceptance of Bitcoin as a medium of exchange. Banks see Bitcoin's immense potential, and they will utilize it through certain fees or even as a reserve to maintain the value of their companies. There could be many reasons why this could happen, whether it is sooner or later. But personally, I believe there will come a time when banks will accept Bitcoin, even if it seems forced upon them. Essentially, Bitcoin is currently in a revolutionary phase that requires time to bring about major changes in the social order, especially in the financial sector. I believe it will be more than that. We are currently seeing Bitcoin as a driving force for change towards a decentralized world.
Once again, I
really believe in that, so it is just a matter of time, as I said. CMIIW.