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A test consists of 20 multiple choice questions. Each question has 4 choices, and only one of them is the correct answer. Suppose a student

A test consists of 20 multiple choice questions. Each question has 4 choices, and only one of them is the correct answer. Suppose a student takes this exam totally unprepared, and thus randomly choosing the answer for each question.

Find the probability that this student will choose correct answers for at least 12 questions. Show your work

Find the probaility that this student will choose correct answers for more than 5 questions and less than or equal to 10 questions.

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