Peter D. is annoyed... Recently, the Professor of Statistics at Macintosh University had to move office and laboratory equipment due to renovation work to his building. He now has 5 keys in his pocket: 1 for his former office, 1 for his former research lab, 1 for his new office space, and 2 for his new research lab space because his research equipment had to be split into two parts. AND above all, Peter D. has not yet identified which key goes with which door/place... Peter D. is in front of his new office space and wants to enter the room, so he is going to try the keys randomly one after the other... a) What is the probability that Peter D. finds the good key in one trial? b) What is the probability that it takes Peter D. four trials to know the good key