The trails at Breckinridge and other Colorado slopes are well-marked and groomed. As long as they stay on the runs and avoid the "out of bounds" areas usually well-marked with signs and barriers, they will be just fine.
Skiing in Europe, however, is an entirely different matter. You better know the mountain well or you could find yourself flying off a cliff or into a ravine. Apparently they do not have a Trial Lawyers Association in Europe or the ski resorts' insurance companies would have them erecting fences and signs all over their mountains.