Roulette curves are mathematical concepts used in the study of probability and statistics, particularly in games of chance like roulette. They represent the paths or trajectories that can be formed by the outcomes of spins in a roulette game, illustrating how results can cluster or spread over time. These curves help players and analysts understand patterns in the game, although roulette is fundamentally a game of chance. By analyzing these curves, one can gain insights into the likelihood of certain outcomes, but they do not guarantee success in predicting future spins.