Programmers, engineers, accountants, lawyers, doctors, nurses, builders, farmers, manufacturers, drivers (including pilots and ships captains), and scientists all need to be very precise in their work and mistakes will cause deaths (I have almost certainly forgotten some). This may not be the majority of workers by number, but these are the jobs civilization is _built_ on, they are the jobs that need to keep going no matter what or the whole house of cards collapses.
The majority of jobs that require less precision falls under the umbrella of artists (I will include advertisers here), people managers, and service workers.