14. (Level 2) 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 probability that a student likes

gospel music if we know that he or she likes country

music?

(b) What is the probability that a student does not

like country music but likes gospel music?

(c) What is the probability that a student who does

not like country music likes gospel music?

Answer: (a)0.25 ; (b)0.2; (c)0.33