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A student is taking a​ multiple-choice exam in which each question has five choices. Assuming that she has no knowledge of the correct answers to any of the​ questions, she has decided on a strategy in which she will place five balls​ (marked A, B, C, D, E) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are six ​multiple-choice questions on the exam.  

  1. What is the probability that she will get six questions​ correct?
  2. What is the probability that she will get at least five questions​ correct?
  3. What is the probability that she will get no questions​ correct?
  4. What is the probability that she will get no more than two questions​ correct?

 

 

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