Suppose that 60% of UConn students will be at random exposed to the flu. If you are exposed and did not get a flu shot, then the probability that you will get the flu (after being exposed) is 80%. If you did get a flu shot, then the probability that you will get the flu (after being exposed) is only 15%.

(a) What is the probability that a person who got a flu shot will get the flu? (b) What is the probability that a person who did not get a flu shot will get the flu?