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Q1 (6 points) Suppose that a cafeteria offers three entrees: Chicken, Pork, and Vegetarian; two beverages: Water and Bepsi; and three deserts: Yoghurt, Apple Pie,

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Q1 (6 points) Suppose that a cafeteria offers three entrees: Chicken, Pork, and Vegetarian; two beverages: Water and Bepsi; and three deserts: Yoghurt, Apple Pie, and Rice Pudding. A person is forming a meal at this cafeteria. [2 marks] (A) Suppose that we select a random person at this cafeteria, and observe their meal. Assume that their meal consists of an Entree, a Beverage, and a Dessert. Write out the sample space for this experiment. One day of the week, the cafeteria lets people choose spac multiple entrees. Suppose we know the following: refere . 50% of people choose Chicken . 65% of people choose Pork . 60% of people choose Vegetarian . 25% of people choose Chicken and Pork . 30% of people choose Chicken and Vegatarian . 35% of people choose Vegetarian and Pork [2 mark] (B) Find the probability that someone has all three entrees. [1 Mark] (C) Find the probability that someone only has the Vegetarian entree. [1 mark] (D) Find the probability that someone has only one entree

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