A biology quiz consists of twelve multiple-choice questions. Eight must be answered correctly to receive a passing grade. If each question has five possible answers, of which only one is correct, what is the probability that a student who guesses at random on each question will pass the examination? (Round your answer to four decimal places.)

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a multiple choice test has 30 questions and each has five possible answers, of which one is correct, if a student guesses on every question, find the probability of fetting exactly 12 correct. state why is this a binomial random variable