Earlier quoted context omitted.
There are certain risks you simply cannot pay out-of-pocket: Car accidents (my car is insured to 20M in damages p.p.), house destruction (you usually already have one mortgage), or inability to work in your profession (e.g., by becoming blind). The former cases are so expensive you cannot expect to save money or take a loan and pay off the damages. The latter case impacts your ability to earn money in the first place…
> my car is insured to 20M in damages p.p. How much does that policy cost? Are you hedging against running into a gas pipeline, school bus full of children, or something along those lines? I'm honestly really curious about this.
This car insurance costs me around 40€/month, but there's a steep curve based on how many years you've been free of damages. A new driver would pay around 6 times as much, AFAIK.
The reasoning behind the high damage rate is indeed the risk to it injure a child for life. In that case the insurance will cover lifelong costs.