A disaster can be seen as something that didn't happen as planned (at least financially, if not in far more ways). In the same way, insurance can be a real blessing that lets you get on with your life right away and in the future. A big problem for a lot of people who aren't sure if they need insurance for something they think is unlikely to happen is that they won't really know if it would have helped until they look back.
It's not really fair to be able to look back and say, "I wish we had bought insurance." Reasonably, you shouldn't have to buy insurance for every possible thing that could happen, and it wouldn't make financial sense to do so. Covering yourself against high-cost, key reasons for an insurance claim is only worth it if those reasons are used. In the same way, taking out a lot of small options with low payouts usually doesn't work either. After all, this means that the amount of money you get for a claim doesn't really have much to do with how well you can pay for it.
Few of us have the money to fully protect ourselves against every possible problem. But it is very hard to find the right balance between a low level of coverage for a wide range of risks and compensation that can really make a difference if it is needed. People often find out too late that it would have been a good idea to get insurance against a certain liability. This makes sense, since you probably don't plan or hope for any of the risks you cover to happen.
Those who suddenly find that their insurance policy just kept them from going bankrupt, on the other hand, are more than happy to talk about its benefits. As an example, let's say that the area you live in floods one year and you bought flood insurance to protect your home and the things inside of it, but no one else did. At first, you'd have to pay a lot more to keep the premiums going. But when the flood comes, you'll be in a much better position than those who chose not to. The insurance might not cover everything, and people rarely end up better off than they would have been if the risk hadn't happened. But it's nice to be able to go on with life almost as usual as soon as the claim is paid and the crippling bill for whatever you could have insured against is gone.
Most people find that paying a small amount every month for their insurance premiums is much better for their finances than not having insurance at all. Even if it costs more in the long run, it is a blessing. And we should be thankful for this alone. Use insurance for what it's meant to do, which is to make things easier when you need to make a claim.