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In a multiple choice quiz, there are 6 questions and 5 choices for each question. If a student chooses the answers randomly, what is the

In a multiple choice quiz, there are 6 questions and 5 choices for each question. If a student chooses the answers randomly, what is the probability that

(a) the first question she gets correct is the last question?

(b) she gets all of the questions correct?

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