You still have RCD protection without an earth. RCDs work by detecting L-N imbalance, not earth current. If you touch a live terminal while your feet are wet on a conductive floor, current flows between L, through you, and into earth. The RCD will register L-N imbalance and trip, hopefully before your heart does...
An earth connection is primarily there to protect you against cabling/heating elements becoming loose and energising the case, which would not be detected by an ordinary RCD if the earth was not connected, and could present a serious electric shock hazard. You can probably guess that the chances of this happening in an oscilloscope are practically nil, but higher for power tools, washing machines, etc.
The earth connection does also perform a useful task for EMI reduction, so many larger electrical appliances (e.g. computers, big TVs, etc.) use it as well - and in many cases this also allows these appliances to be Type I single-insulated so the earth is important from a regulatory point of view (double insulated conductors and design processes are not used) but again the likelihood of a cable becoming loose and energising the appliance case is quite low.