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During an exam that has a total of eight questions, Paula correctly solved Questions 3, 4, 6, 7 and 8. During the same exam, Quentin

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During an exam that has a total of eight questions, Paula correctly solved Questions 3, 4, 6, 7 and 8. During the same exam, Quentin correctly solved Questions 1, 2, 3, 6 and 8. (a) Represent this information on the Venn diagram below. P represents the set of questions correctly solved by Paula. Likewise, Q represents the set of questions correctly solved by Quentin. P Q LN N - 2 2 3 P. (b) Find n(PUQ). 5 (c) Find the probability that a question at random has been solved correctly by Paula or Quentin, but not both. 14 / 8

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