A survey was taken in the cafeteria to ask students what typ

A survey was taken in the cafeteria to ask students what type of music they like to listen to. Use the probability Venn diagram to answer the following question. Given that a student likes Pop music, what is the probability that they do not like Rap music? Round to 2 decimal places.

Solution

P(not liking rap music | liking pop music) = P(not liking rap music and liking pop music) / P(liking pop music)

= (0.18 + 0.07 + 0.05 + 0.09) / (0.18 + 0.07 + 0.05 + 0.09 + 0.03 + 0.045 + 0.02)

= 0.80 (ans)