Question: A multiple-choice test has 10 questions and 5 choices for each question. If a student is totally unprepared and guesses on each question, what is

A multiple-choice test has 10 questions and 5 choices for each question. If a student is totally unprepared and guesses on each question, what is the probability that
(a) She will answer every question correctly?
(b) She will answer half of the questions correctly?

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