You buy insurance if there is an uncertain outcome, e.g. a 1% probability of having a $100k claim. In which case you can expect to be charged around 1% of $100k (plus admin costs and whatnot).
Perfect information means you know the exact probability of the event happening. It doesn't mean that you know with certainty whether an event will happen or not. That would require a crystal ball or a time machine.
If I'm going to have a $100k claim I'm not going to drive. There is nothing in life worth doing despite it causing a $100k claim. It can wait (or I'll pay for a taxi). However I need to do things and there is a small chance I will do something wrong and thus incure that $100k claim.