Water is able to conduct electricity, but is the same true of snow?

Snow does not conduct electricity because the ions essential for creating a charge are not mobile like they are in water
Can snow conduct electricity? (Nature of Things)

Dr. Yindi Jing, an Associate Professor in the Department of Electrical and Computer Engineering at the University of Alberta in Edmonton explains that water is not a good conductor of electricity in its pure state.  When impurities such as salt are added this means that there are also positive and negative ions than can become mobile in order to create an electric charge.  In snow however, those ions are not mobile, which means it is not a good conductor of electricity.  
Water conducts electricity because of the ions found in the impurities, but in snow the ions are not as mobile as they are in water