The U.S. Census Bureau provides data on the number of young adults, ages 18–24, who are living in their parents’ home.1 Let
M = the event a male young adult is living in his parents’ home
F = the event a female young adult is living in her parents’ home
If we randomly select a male young adult and a female young adult, the Census Bureau data enable us to conclude P(M) = .56 and P(F) = .42 (The World Almanac, 2006). The probability that both are living in their parents’ home is .24.
a. What is the probability at least one of the two young adults selected is living in his or her parents’ home?
b. What is the probability both young adults selected are living on their own (neither is living in their parents’ home)?