The correct answer is:
The voter must neither be influenced nor forced to vote in a particular way, and should not face any disadvantages due to the vote.
Der Wähler darf bei der Wahl weder beeinflusst noch zu einer bestimmten Stimmabgabe gezwungen werden und keine Nachteile durch die Wahl haben.
Independent study resource, not a BAMF website. Translations are study aids; the exam is in German.
Quick explanation
A free election allows a choice without coercion or disadvantage.
Why is this correct?
Voters must make their own decision and may not be forced or improperly influenced to cast a particular vote.
Background
For federal elections, the Basic Law sets out five electoral principles: general, direct, free, equal and secret (Article 38). “Free” means that nobody may pressure, bribe or threaten voters, and nobody may suffer disadvantages because of their vote. A free election also means that you do not have to vote at all.
Why are the other answers wrong?
Accepting money for a particular vote is vote buying and a criminal offence. People who have been or are in prison are usually allowed to vote as well – only a court can take away the right to vote, and only in rare cases. Germany has no compulsory voting, unlike Belgium, for example.
Memory tip
The five electoral principles: general, direct, free, equal, secret. “Free” means without pressure and without obligation.
Legal basis: Art. 38 Basic Law (GG) ↗
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