The correct answer is:
social insurance
Sozialversicherung
Independent study resource, not a BAMF website. Translations are study aids; the exam is in German.
Quick explanation
Long-term care insurance is part of social insurance.
Why is this correct?
Together with health, pension, unemployment and accident insurance, it is one of the five branches of social insurance.
Background
Long-term care insurance is part of social insurance. It was introduced in 1995 as the newest branch and helps people who need long-term care because of illness, disability or old age – at home or in a care home. Anyone with statutory health insurance is automatically covered by long-term care insurance. Employees and employers share the contributions; people without children pay a small surcharge.
Why are the other answers wrong?
Accident insurance is itself a branch of social insurance, but long-term care insurance is not part of it. Household contents, liability and fire insurance are private insurances against damage to property.
Memory tip
Five branches of social insurance: health, long-term care, pension, unemployment and accident insurance.
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