A professional organization sells term life insurance and major medical insurance. Of those who have just life insurance, 60% will renew next year, and 85% of those with only a major medical policy will renew next year. However, 90% of policyholders who have both types of policy will renew at least one of them next year. Of the policy holders, 65% have term life insurance, 55% have major medical, and 20% have both. a. Calculate the percentage of policyholders that will renew at least one policy next year.
b. If a randomly selected policy holder does in fact renew next year, what is the probability that he or she has both life and major medical insurance?