QUESTION 2 A professor design an online quiz covering six different topics. The quiz has one question for each topic (thus totallying 6 questions). The question for each topic is randomly selected from a pool of 3 different questions. a) How many different quizzes the system can generate? (quizzes are different from each other if they have at least one question that is different). b) Consider that two students compared their quizzes and they have the same first question. What is the probability that they will have exactly the same quiz (all 6 questions are the same)? The responses for questions a) and b) above are, respectively: O 15 and 6.6% O 729 and 0.4% O 125 and 3% 729 and 0.13%

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