According to a survey conducted by the American Pet Products Association, 68% of U.S. households own a pet. According to the Energy Information Administration, 31% of all U.S. households have trouble paying their energy bills. Suppose 17% of all U.S. households own a pet and have trouble paying their energy bills. If a U.S. household is randomly sampled,
a. What is the probability that the household owns a pet or is having trouble paying energy bills?
b. What is the probability that the household owns a pet or is having trouble paying energy bills but not both?
c. What is the probability that the household neither owns a pet nor is having trouble paying energy bills?