The most accurate response regarding how the Yuan dynasty prevented revolts by the ethnic Han majority against the Mongols is:
The Mongols practiced religious tolerance, which led to greater support by the Han ethnic group.
This practice helped to mitigate opposition and foster a degree of acceptance among the Han populace. While the Yuan dynasty did implement a social hierarchy favoring Mongols in high positions, the promotion of religious tolerance was a significant factor in maintaining stability within the diverse population of the empire.