In a small restaurant, 30% of the customers order pizza, 20% order pasta, and 50% order burger. Among those who order pizza or pasta, 60% order a non-alcoholic beverage, while 40% order an alcoholic beverage. Among those who order a burger, 20% order a non-alcoholic beverage, while 80% order an alcoholic beverage. All customers order exactly one dish and one beverage. (a) Draw a tree diagram corresponding to the described situation. (b*) What is the probability that a customer orders an alcoholic beverage? (c*) What is the probability that a customer who has ordered an alcoholic beverage has also ordered a burger?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 71E
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In a small restaurant, 30% of the customers order pizza, 20% order pasta, and 50% order burger.
Among those who order pizza or pasta, 60% order a non-alcoholic beverage, while 40% order an
alcoholic beverage. Among those who order a burger, 20% order a non-alcoholic beverage, while
80% order an alcoholic beverage. All customers order exactly one dish and one beverage.
(a) Draw a tree diagram corresponding to the described situation.
(b*) What is the probability that a customer orders an alcoholic beverage?
(c*) What is the probability that a customer who has ordered an alcoholic beverage has also ordered
a burger?
Transcribed Image Text:In a small restaurant, 30% of the customers order pizza, 20% order pasta, and 50% order burger. Among those who order pizza or pasta, 60% order a non-alcoholic beverage, while 40% order an alcoholic beverage. Among those who order a burger, 20% order a non-alcoholic beverage, while 80% order an alcoholic beverage. All customers order exactly one dish and one beverage. (a) Draw a tree diagram corresponding to the described situation. (b*) What is the probability that a customer orders an alcoholic beverage? (c*) What is the probability that a customer who has ordered an alcoholic beverage has also ordered a burger?
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