AWS has never gone down across all regions at once. So we can do something about going down. You build the system to be multi-region and be able to evacuate traffic from one region to another, so when us-east-1 goes down again, you simply route around the damage and use resources in us-west2 until us-east-1 comes back up. People don't appreciate how much backend engineering goes into keeping something like Twitter up at all times.
Put it another way. Little guys go down when us-east-1 goes down. The big boys stay up no matter what.