In European Roulette, players benefit from a lower house edge of 2.7% due to the single zero, allowing for strategies like focusing on outside bets or using betting systems like Martingale or D'Alembert. In contrast, American Roulette has a higher house edge of 5.26% because of the double zero, prompting players to be more cautious with bankroll management. Many players may avoid inside bets and concentrate on outside bets to mitigate risk. Overall, understanding the differences in house edge helps players adjust their strategies for each version effectively.