[Additional Problem 2] Suppose you work at a local gym where a playlist of 100 songs is played on a stereo system. At the beginning of the day, an employee is supposed to turn the music on \"shuile mode\" so that every time a new song starts, each of the 100 songs is equally likely to be played. However, you have one co-worker named Michael who loves music by Celine Dion, and insists on playing her music constantly even though there are only three of her songs on the playlist. Luckily, Michael only works one out of every four days, on a totally random schedule. Suppose you come in to work one day and hear a Celine Dion song playing on the stereo. You roll your eyes and hope the next song will be something else. Compute the probability that Michael is working today (and hence that your hopes are in vain)