This answer should be taken as a counterpoint to Thevin S's excellent answer.
I have comprehensive insurance on my vehicle. That is, if I crashed it and wrote it off, my insurance would cover the replacement costs. Now, if this happened, I would be able to deal with the replacement costs myself, even without insurance. It would not significantly impact my lifestyle and would not put my emergency funds at risk, though obviously I wouldn't be happy about this.
As the insurance company is planning on making money off of me, it's clearly not in my financial best interests to carry this insurance. Statistically speaking, it's a cost to me, and a profit for the insurance company.
So why do I do it? Because I find it easy to pay a small amount of money every month for the peace of mind that, if I crash my car, I will not have to cover the large expense. I am (perhaps irrationally) risk averse. I'm happier paying a small amount of money in exchange for a guarantee that I will not have to pay a large amount of money. I mitigate a potentially larger cost, albeit with low likelihood, for the certainty of a smaller cost (my monthly insurance payments).
This is separate from the mandatory PL/PD (public liability, public damage) insurance that I am required to cover. That insurance fits into Thevin's definition of a devastating event.