A multiple choice test consists of 8 items each with 4 choices. A student guesses the answers by choosing an answer at random. Compute the probability that (a) the student answers all questions incorrectly? (b) the student answers all questions correctly? (c) the student answers 2 or more correctly? (d) Suppose the student is able to eliminate one of the answers as incorrect and chooses randomly from the other three choices. What is the probability the student answers 2 or more correctly?

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