Insurance is for the mathematically challenged. Insurance companies have the largest buildings in town for a reason. What other company do you write a check to for a thousand dollars and get nothing more than a promise to cover some bills in the event of certain losses? Commissions to the salesperson can reach or exceed 100% of premiums in the early years of some life insurance policies. Many credit card companies offer free extended warranty insurance at no additional cost when you buy with their card. You can guess the real value of the extended warrantee offered at Wal-Mart on $88 headphones.
Warren Buffett built an empire funded by insurance premiums at Geico. Some insurance is required by law. In the U.S., auto insurance is required for liability. Health insurance is also required since the Affordable Care Act passed.
Insurance is about risk management. Insurance companies are masters at it. The goal for the insurance company is to bring in as much as possible in premiums and pay out as little as possible in claims. Insurance always has a built-in profit for the insurance company. This is the house advantage.
Most insurance claims are for stupid small stuff. The cost of insurance to cover claims under $10,000 is massive. The processing of a claim is expensive. That is why higher deductible can save so much. But even better is not buying insurance at all and pocketing the cash.