Suppose in your music on spotify you have 3 mixed tracks by mc solaar, 10 bob marley’s songs, and 22 jamiroquai hits (your favorite). your friends are over, and you put your music on shuffle (which randomly picks a song among those which haven’t played yet). you’d hope that spotify will play much of your favorite music early on in all the questions below it is fair to assume that all simple events (a. k.a outcomes) are equally likely. (a) what is the probability that the first 10 songs are bob marley’s, expressed in terms of permutations only? explain your reasoning. (b) what is the probability that the first 10 songs are bob marley’s, expressed in terms of combinations only? explain your reasoning. (c) give a different way (i. e. use a different reasoning than above) for computing the probability that the first 10 songs are bob marley’s. (d) what is the probability that you hear a bob marley’s song before you hear the first jamiroquai?