3. At a high school movie night, the refreshment stand sells popcorn and soft drinks. Of the 100 students who came to the movie, 62 bought popcorn and 47 bought a drink. 38 students bought both popcorn and a drink. Part A: What is the probability that a student buys a drink? Express your answer as a percentage. Part B: What is the probability that a student buys a drink, given that he or she buys popcorn? Express your answer as a percentage, rounded to the nearest tenth. Part C: Are buying a drink and buying popcorn independent or dependent events? Justify your answer.

A First Course in Probability (10th Edition)
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3. At a high school movie night, the refreshment stand sells popcorn and soft drinks.
Of the 100 students who came to the movie, 62 bought popcorn and 47 bought a
drink. 38 students bought both popcorn and a drink.
Part A: What is the probability that a student buys a drink? Express your answer as a
percentage.
Part B: What is the probability that a student buys a drink, given that he or she buys
popcorn? Express your answer as a percentage, rounded to the nearest tenth.
Part C: Are buying a drink and buying popcorn independent or dependent events?
Justify your answer.
Transcribed Image Text:3. At a high school movie night, the refreshment stand sells popcorn and soft drinks. Of the 100 students who came to the movie, 62 bought popcorn and 47 bought a drink. 38 students bought both popcorn and a drink. Part A: What is the probability that a student buys a drink? Express your answer as a percentage. Part B: What is the probability that a student buys a drink, given that he or she buys popcorn? Express your answer as a percentage, rounded to the nearest tenth. Part C: Are buying a drink and buying popcorn independent or dependent events? Justify your answer.
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