According to the U.S. Bureau of Labor Statistics, 75% of the women 25 through 49 years of age participate in the labor force. Suppose 78% of the women in that age group are married. Suppose also that 61% of all women 25 through 49 years of age are married and are participating in the labor force.
a. What is the probability that a randomly selected woman in that age group is married or is participating in the labor force?
b. What is the probability that a randomly selected woman in that age group is married or is participating in the labor force but not both?
c. What is the probability that a randomly selected woman in that age group is neither married nor participating in the labor force?