A union’s executive conducted a survey of its members to determine what the membership felt were the important issues to be resolved during upcoming negotiations with management. The results indicate that 74% of members felt that job security was an important issue, whereas 65% identified pension benefits as an important issue. Of those who felt that pension benefits were important, 60% also felt that job security was an important issue. One member is selected at random.
a. What is the probability that he or she felt that both job security and pension benefits were important?
b. What is the probability that the member felt that at least one of these two issues was important?