At a high school movie night, the refreshment stand sells popcorn and soft drinks. Of the 100 people who came to the movie, 62 bought popcorn, and 47 bought a drink. 38 students bought both popcorn and a drink.

(a) What is the probability that a student buys a drink

(b) What is the probability that a student buys a drink, given that a student buys popcorn

(c) Are buying drinks and buying popcorn independent or dependent events? Explain