Based on the steps you've outlined and the typical expectations of a simulation involving dominant and recessive traits in a population, the most likely outcome after following these steps is:
The rabbit population increased but then started to decrease. Most of the rabbits are brown.
This outcome reflects the idea that while the initial population of rabbits (which is mostly white) may grow due to the traits being selected for (the brown fur being dominant), eventually, factors like genetic drift, competition for resources, predation, or environmental changes could lead to a decrease in the population, often resulting in a predominance of the dominant trait (brown fur) in the surviving population.