We live in a convenient age, but also a fickle one. I laugh when my wife prints 100 hundreds of digital photos although her disaster recovery process is more stable than mine.
The only exception was our wedding photos. We have a set of prints directly from the studio hired to take the pictures, as well as a digital copy on DVD from them. We also have those digital files backed up on our home server, a computer at my parents' house, Dropbox, Snapfish, and both of our Facebook accounts. The photography company also has long-term storage that we would have access to if all else failed. That's about as redundant as we can get without spending a ton of money, but it's more than most people seem to have.