The same word “insurance”, but a different system.
Statutory social insurance operates under the applicable laws on membership, contributions and benefits. Its five branches cover different social risks, such as illness, care needs or unemployment.
Life insurance arises from a private contract. Depending on the type of contract, it may provide a death benefit or a payment at an agreed time. Those contractual benefits do not make it a statutory social insurance branch.

The other three answers
Here the other three options actually belong to the group in question.
statutory pension insurance
Statutory pension insurance is a branch of social insurance. “Statutory” in this option is an important clue.
unemployment insurance
Unemployment insurance belongs to the statutory system. Its rules form part of employment promotion.
long-term care insurance
Social long-term care insurance is also a statutory insurance branch. It should not be confused with an arbitrary private supplementary policy.
Private does not mean unregulated.
Private insurance contracts are also governed by law. The distinction is therefore not “regulated” versus “unregulated”, but a statutory social insurance branch versus a private insurance contract.
The question says nothing about whether a particular life insurance policy suits someone. Costs, coverage and personal provision are separate questions and are not needed for this classification task.
Section 1 · Scope · Social Code IV ↗Remember five branches; life insurance is not one of them.
Health, care, pension, accident, unemployment: these form the statutory group.
Three words for this question
- die Lebensversicherunglife insurance
- Private insurance with contractually specified benefits, such as a death benefit.
- der Versicherungszweiginsurance branch
- A part of the insurance system with a particular function.
- gesetzlichstatutory
- Here: belonging to the statutory social insurance system.
