You are currently allowed to repeat a final module examination twice. If you also fail the third attempt, you have definitively failed this examination.
In the case of a compulsory module (e.g. Module 1: Stochastics I), your Master’s programme ends without a degree and you will not be able to study another Master’s programme in Statistics (or related fields) in the EU.
In the case of an optional compulsory module (e.g. Module 2: Econometrics Methods/Methoden der Statistik), you can take an other course from the module.
In any other case, you can take another course from the same area (e.g. specialisation area).