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uninsurable risk UK US noun [C or U] INSURANCE
► a situation that you cannot protect yourself against by buying insurance because it is impossible to calculate how likely it is to happen, or how much damage it will cause: »
In many cases catastrophes, such as earthquakes, have become uninsurable risks.
► a situation for which an insurance company will not provide insurance, because, for example, it is certain to happen: »
A person suffering from a terminal illness is considered to be an uninsurable risk.
Financial and business terms. 2012.