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In: Statistics and Probability

2.   A student is taking a multiple-choice test in which each question has five choices. Assume...

2.   A student is taking a multiple-choice test in which each question has five choices. Assume that the student 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 and E) into a box. She randomly selected one ball for each question and replaces the ball in the box. The marking on the will determine her answer to the question. There are 6 multiple-choice questions on the test. What is the probability that she will correctly answer the following:

  1. five questions correct?
  1. at most three questions correct?

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