The process described in the scenario is genetic drift.
This is because the change in tail length is due to random chance (pure luck) rather than any selective advantage or disadvantage. Genetic drift refers to random changes in allele frequencies in a population, which can lead to traits becoming more or less common over time regardless of their effect on survival or reproduction. In this case, the shorter tail does not confer any advantage or disadvantage to the animal's survival or reproduction, aligning with the concept of genetic drift.