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Probabilitv: NON-Mutually Exclusive Event 4. A group of 20 students have applied to be on a university committee that will advise government on tuition fee policy. Six of the students in total are completing a Bachelor of Science degree, 12 of the students in total are completing a Bachelor of Arts degree, 2 are completing degrees in both the faculty of Arts and the faculty of Science, and 3 are completing a Bachelor of Commerce degree (Business) only. One student will be randomly chosen for the committee. a) Construct two Venn diagrams: one showing the number of students in each set and one showing the probability of selecting a student from each set. Express your probabilities as percents. b) Find the probability that the student selected is from the faculty of Arts OR the faculty of Business. c) Find the probability that the student selected is from the faculty of Arts OR the faculty of Science.
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