An additional thought is that insurance companies do not simply "pool" the
money from the premiums to pay out.  There would be no profit in that and
quite a bit of risk from large claims.  They take the premiums and invest
them to have a larger pool of money for paying out claims and to have a
*nice* profit.  By simply pooling the premiums, it is quite likely that
someone who has paid regularly over a period of time would be denied a claim
because the "pool" had already been paid out by someone else's large claim!
So to start a venture like this, someone would have to be an expert at
investing.  Someone with that expertise is quite likely to not want to start
a gerbil insurance plan...

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