Forty-two percent of a corporation's blue-collar employees were in favor of a modified health care plan, and 22% of its blue-collar employees favored a proposal to change the work schedule. Thirty-four percent of those favoring the health care plan modification favored the work schedule change.
a. What is the probability that a randomly selected blue-collar employee is in favor of both the modified health care plan and the changed work schedule?
b. What is the probability that a randomly chosen blue-collar employee is in favor of at least one of the two changes?
c. What is the probability that a blue-collar employee favoring the work schedule change also favors the modified health care plan?