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8. (3 points) A certain course has weekly online quizzes. Each quiz consists of 8 multiple choice questions with 4 answer choices for each question.

8. (3 points) A certain course has weekly online quizzes. Each quiz consists of 8 multiple choice questions with 4 answer choices for each question. Your friend Carrie has not yet looked at this week's material, but the quiz window closes in 1 hour, so Carrie is going to do the quiz now, will guess at every question and hope for the best. Carrie needs to get more than 5 questions right on this quiz to bring her overall quiz mark so far up to a passing grade. What is the probability that Carrie will pass the quiz (i.e. get at least half the questions right), if she won't succeed in bringing her overall quiz mark so far up to a passing grade?

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