A risk against which one cannot purchase insurance, either because it is very likely to occur or because it would be too expensive to cover if it did. For examplle a 118-year-old person may be an uninsurable risk for life insurance because the person is very likely to die before the insurer collects a sufficient amount in premium. Likewise, one generally cannot insure against nuclear war because, even though nuclear war is unlikely, repairs and medical bills would be prohibitively expensive.