"In cars, one person died per 5.5 million passenger hours traveled."
So skiing seems 4x more dangerous.
Anecdotally, I've read that one hospital in the Swiss Alps was struggling money wise, because the ski season was ended early, and ski accidents were a major revenue for them.
This doesn't take individual behavior into account though. A lot of people are skiing more cautiously than the insane risk takers who kill themselves in avalanches or falls in deep woods or backcountry. Also, the driving to the ski resort is likely to be more dangerous than regular driving because you're more likely to encounter icing, snow on the road, and low visibility conditions.
All in my guess would be that the driving is more dangerous for most skiers.
For the last decade, every ski trip I've done has required either 4+ hours of driving or a cross-country plane trip. Add in the fact that much of that driving is on icy, narrow mountain roads in storm conditions, and the stats that other people shared make it clear that driving is the bigger risk to me.
Drivers become aś good as they every can in pure pure driving skill in karting when they are still teenagers. All skills needed for driving fast are developed early.
Rest of the career in F3/F2/GP2 feeder series to F1 is just maturing psychologically, getting experience and learning stuff you need outside the track. Ultimate skill level is already there or not. Drivers will eventually fade out when their physical performance declines in late 30's.
(actual career performance depends on cars, teams, money, business and marketing)