In a casino, the gambler is gambling, while the casino is investing.
In a casino, the gambler is gambling, while the casino is investing.
No, actually, if you include non-monetary benefits, both expected utilities (gambling and insurance) are positive (at least if the gambler is rational and only bets amounts that are more than compensated for by the entertainment value involved), but if you don't, if you only consider monetary costs and benefits, both expected utilities (gambling and insurance) are negative. So insurance is not an investment in the financial sense, where the expected monetary utility alone is supposed to be positive.
I suppose that even when insurance is negative, its primary function is to buy protection against being shunted to $0 value. You're paying value to eliminate risk.
If a bank can pay you positive value (in the form of interest), an insurance company can as well.