A middle school principal has 80 keys on her key chain to distribute to staff onthe first day of school. Of these 80 keys, 60 open classroom doors, 40 open the door tothe teachers' lounge, and 30 open classroom doors and the teachers' lounge. Using thisinformation, answer each of the following questions. Let C be the event that a randomly selected key opens a clasroom and T be the event that a randomly selected key opensthe teachers' lounge. What is P(C or T) the probability that a key opens a classroom or theteachers' lounge