How safe are encrypted files error-wise?

If a non-encrypted document has a corrupt byte - we only get a typo. But what about an encrypted file? It seems, and please correct me if I'm wrong, that if the encryption is done right - every byte depends on the previous bytes. This raises a concern. If I make a disk image and have it done with encryption - perhaps there's a non-negligible chance that I won't be able to restore it.

I understand that even if I'm right - an exact answer will depend on the media type, age, etc. and even then - be quite a guesstimate. But I would like to have at least an order of magnitude of the prevalence of errors. (Or if my original assumption is wrong - I'd like to know that, of course.)