Amazon S3 is designed to provide 99.999999999% durability of objects over a given year. This durability level corresponds to an average annual expected loss of 0.000000001% of objects. For example, if you store 10,000 objects with Amazon S3, you can on average expect to incur a loss of a single object once every 10,000,000 years....
They make so many backups so quickly that there is only a 0.00000000001% (I didn't count the zeros) chance of this occuring.
A more comical way to look at it: The percentage is actually AWS saying "to keep costs low, we plan to lose this many files per year"; when we screw up and things don't go quite to plan, we lose a _lot_ more.
†roughly proportional if you have << 1e11 objects
Similar deal for hard drive bit error rates, where the quoted average BER may not necessarily accurately represent what can happen in the real world. For example, an unrecoverable read error loses 4096 bits (512 byte sectors) or 32768 bits (4k sectors) all at once, rather than individual bits randomly flipped over a long period.
Amazon Glacier synchronously stores your data across multiple facilities before returning SUCCESS on uploading archives.