Yes maybe it could happen because in my country like Paypal accepted by some banks. And it is very possible for bitcoin to be accepted in the bank, but that certainly needs many changes in bitcoin order to enter the bank.
serioussly?
first of all paypal and bitcoin are different (except as a payment method) bitcoin is a currency while paypal is a service for paying things online that conected with your bank account.
secondly bitcoin is impossible for bank to adopted bitcoin in to their system, due to the decentralization of the bitcoin, they can't controll it so there is no way for them to adopt it, they only interested on technlogy behind bitcoin, the blockchain and it possible for them to make their own cryptocurrency.
I also think that if anything related to bitcoin will be adopted by big banks that's going to be some bankster-shitcoin. They don't like things beyond their control ergo no BTC accounts.
Besides wouldn't it be against bitcoin philosophy? Those are money invented for US to trade, play, have fun and earn in the internet's not them
banks Having the basic knowledge of crypto now would make us sceptical clients, why store my coins in a bank when I can do the same on my own, free of charge? Not to mention private key issue... I think that banks will never adopt
BTC on their own and its a good thing. We dont need them, we never did.