The correct answer is:
health insurance
die Krankenversicherung
Independent study resource, not a BAMF website. Translations are study aids; the exam is in German.
Quick explanation
Health insurance provides social security.
Why is this correct?
It is part of social insurance and protects people when they are ill; car, building and liability insurance are private insurances for property.
Background
Health insurance is part of social insurance and is compulsory in Germany. It pays for doctor’s visits, hospital stays and many medicines. Most people have statutory health insurance; some, such as civil servants or the self-employed, can take out private insurance. Together with pension, long-term care, unemployment and accident insurance, it provides social security.
Why are the other answers wrong?
Car, building and liability insurance are private insurances. They protect against damage to property or against compensation claims. Liability insurance is compulsory for cars, but it is still not part of social security.
Memory tip
Social security is about people (illness, old age, unemployment), not cars or houses.
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