According to the U.S. Census Bureau, 20.2% of American women aged 25 years or older have a Bachelor's Degree; 16.5% of American women aged 25 years or older have never married; among American women aged 25 years or older who have never married, 22.8% have a Bachelor's Degree; and among American women aged 25 years or older who have a Bachelor's Degree, 18.6% have never married.
(a) Are the events "have a Bachelor's Degree" and "never married" independent? Explain.
(b) Suppose an American woman aged 25 years or older is randomly selected, what is the probability she has a Bachelor's Degree and has never married? Interpret this probability.