Question: Tastes in music:
Musical styles other than rock and pop are becoming more popular. A survey of college students finds that 40% like country music, 30% like gospel music, and 10% like both.
a) What is the conditional probability that a student likes gospel music if we know that he or she likes country music?
b) What is the conditional probability that a student who does not like country music likes gospel music? (A Venn diagram may help you.)