The IMO stated that if a vessel has 2 independently working certified electronic chart systems, the papercharts are no longer required. In reality you'll will find a set of small scale charts of their trade area, e.g. the Northsea or the Mediterranean sea. Better safe than sorry. If the vessel has 1 electronic chart system, paper charts are still required
It's not required to use the 'emergency set' though for active navigation, but they have to kept up-to-date with the weekly Notice to Mariners (NtM's). It can be company procedures to use the paper charts once in a while, to keep yourself trained.
In 2012 it becomes mandatory for all tankers to have an electronic chart system. Although i really enjoy working with paper charts, an electronic chart would save a hell of a lot work. All the charts have to be updated weekly, voyages have to be drawn in before the vessels starts her voyage, all the nautical bookworks have to be corrected etc. Besides all those jobs the 2nd officer also the safety officer and responsible for all fire fighting and life saving equipment. We work 12 hours a day, and still i'm struggling to finish all my jobs in time.