According to the U.S. Census Bureau, the probability that a randomly selected head of household in the United States earns more than $100,000 per year is 0.202. The probability that a randomly selected head of household in the United States earns more than $100,000 per year, given that the head of household has earned a bachelor's degree, is 0.412. Are the events "earn more than $100,000 per year" and "earned a bachelor's degree" independent?