While you can never rule out the possibility of an accident, I am usually more concerned with the ride to an airport than with the flight itself. Of course there is also the possibility of shoddy operations from an unscrupulous operator, but I do some basic checking before booking any adventure. Most operators don't want to risk an accident any more than their customers. I'm pretty careful with the inspections of my own small plane, but it is not rocket science. A thorough inspection tends to catch most problems.
In the article above, it appears additional inspections would help ameliorate the problem that is described. That is why the NTSB investigates all accidents like the one that occurred. It helps avoid future accidents if recurring issues are identified and addressed. Flying accidents still make national news because they are so infrequent and unique. In reality, driving down the interstate near where I live is significantly more dangerous, with many large 18-wheelers, some with poor inspection requirements, careening down the road, often well above the posted 70 mph speed limit. The truck may not fall out of the sky, but it can take out dozens of cars in an unfortunate accident. Have had one accident like that happen right in fromt of me, on the opposite side of a divided highway.