> whereas LLM mistakes are somewhat random, like the carwash problem

At least in math problems, AI mistakes generally occur more frequently given the difficulty of the task.

The carwash problem is very undespecified. The question should be something like "I am American. I live in a single family home in a suburb. Each member of my family has their own car. All the cars are parked during the night at home. My boss don't authorize me to go during working hour outside the office. I want to wash my car. The car wash is 50 meters away. Should I walk or drive?"

Disclaimer: I am Argentinean. I live in an old apartment building without a parking lot. I don't have a car, but if I had one I'd probably move to a building with parking inside or nearby. The closest professional car washing facility is like 1000 meters away, but the closest parking lot is like 50 meters away and they guys would wash the car for a few bucks. I want to wash my car. The car wash is 50 meters away. Should I walk or drive?