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Why buy insurance?
The odds could very well be in your favor, even when the insurance company expects profit. What matters to you is not the expected amount of money you'll have, but the expected amount of utility you'll get from it: getting enough money to buy food to eat is much more important than getting enough money to be able to buy that fiction book too. The more money you have, the less a dollar is worth to you: consequently, if you have enough money, it's worth spending some to prevent yourself from getting into a situation where you don't have enough money.