Do people really put their money into a bank to "keep it safe" anymore? You put it into the bank so that you don't have to carry around your life savings with you, or bury it in the back yard. You put it there so you can have a debit card. You put it there to earn interest on your savings.
Never once have I put my money into a bank thinking that this was the absolute safest place for it. It may well be that very thing. But, that's not why I put it there.