A survey was conducted for a TV network to understand what viewers consider to be the most important thing in their lives. Twenty-nine percent said “good health,” 21% responded “a happy marriage,” and 40% replied “a happy family.” Because they were asked which of these things is the most important thing, a respondent could not select more than one answer.
a. What is the probability that a person replied “a happy marriage” or “a happy family”?
b. What is the probability that a person replied “a happy marriage” or “a happy family” or “good health”?
c. What is the probability that a person replied “a happy family” and “good health”?
d. What is the probability that a person replied neither “a happy family” nor “good health” nor “a happy marriage”?