(a venn diagram may be useful here) a group of students were surveyed about what type of music they listen to. here are the results of the survey: 7 listen to rap, heavy metal and alternative rock 10 listen to rap and heavy metal 13 listen to heavy metal and alternative rock 12 listen to rap and alternative rock 17 listen to rap 24 listen to heavy metal 22 listen to alternative rock and 9 don't listen to anything! a) how many people were surveyed? b) what is the probability that a student, chosen randomly, listens to listen to rap only? c) what is the probability that a student, chosen randomly, listens to listen to rap and to heavy metal? c) what is the probability that a student, chosen randomly, listens to listen to everything?