The thing is, it is not true to say that experienced pilots have less chance of an accident than less experienced pilots. The world's worst air disaster had a Chief of Flight Training sitting in the left hand seat. The most recent A330 crash had a Captain on board who had 11,000 hours, including 1700 on type, and the FOs on that flight had 9,000 hours between them.
On the other hand, my mate, who had only around 1500 hours at the time, and very few on airliners, had an engine failure which was handled very well. He subsequently had another (different aeroplane!) and that was also handled very well.
I know very good low hours pilots and very bad "experienced" pilots.
Different people bring different things to a flight, and hours on jets is not the only denomination to look at. Someone who has had a wide variety of experience and can think outside the box whilst utilising the rest of the crew to the best of everyone's ability is likely to be the safest pilot.
How you think as a passenger that you would be able to determine that, god only knows!!!
I think a far more important issue, that is currently being buried by the airlines, is the issue of fatigue and training. There are certain airlines that I will not fly with, because I know just what kind of rosters those guys are flying, and fatigue is a far more dangerous issue.