A student is taking a multiple-choice exam 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. The marking on the ball will determine her answer to the question. There are six multiple choice questions on the exam. What is the probability that she will get:

a.   Six questions correct?

b.   At least four questions correct?

c.    No questions correct?

d.   No more than two questions correct?

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