A group of college DJs surveyed students to find out what music to plan for their upcoming parties. Thirty percent of the students preferred dubstep, 25% of the students liked trance music, and 20% wanted to hear only house music. Fifteen percent of the respondents selected both dubstep and trance.A - The proportion of students that like trance music but not dubstep is:a) 20% .b) 5% .c) 10% .d) 15%B - The proportion of students that like either dubstep or trance is:a) 40% .b) 100% .c) 55% .d) 70% .C - The proportion of students that like neither trance music nor dubstep is:a)60% .b) 20% .c) 0% .d) 40% .D - The proportion of students that didn’t select any of the music options available on the survey was:a) 0% .b) 40% .c) 20% .d) 60% .E - The proportion of students that preferred either dubstep or trance is calculated by:a) P(A)+P(B)+P(A and B) .b) None of the answer options are correct.c) P(A)+P(B) .d) P(A)+P(B)?P(A and B) .F - The conditional probability that a student likes dubstep, given that he or she likes trance music, is:a) 70% .b) 65% .c) 60% .d) 55% .