Is it wise to purchase insurance?

Is it wise to purchase insurance?

Is it wise to purchase insurance? For example, if I buy auto insurance, then I'm betting that I will be in an accident, and that the insurance payout will be worthwhile, notwithstanding the amount I will have paid in premiums. The insurance company is betting that the amount I pay in premiums will outweigh what they pay me in the event of a claim. Given that they have a lot of actuaries and other smart folks working on this, shouldn't I assume that they are right? I.e., does the fact that someone very smart is willing to sell me insurance count as a reason not to buy the insurance?

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