A mall developer surveyed 500 customers yesterday to learn what they go shopping for at the mall. 320 customers said they shopped for clothes. 295 customers said they went shopping for electronics. 175 customers said they shopped for both clothes and electronics.
(a) What is the probability that a single randomly-selected shopped for either clothing or electronics yesterday, but not both?
(b) Let C = {customers shopping for clothes} and E = {customers shopping for electronics}.