A student takes a multiple-choice exam with 15 questions, where each questions have five possible selections and the probability to answer correctly is 1/4. Suppose that the student was unable to find time to study for the exam and just guesses at each question. а) Find the probability that the student gets at least 5 questions correct. b) Assume that the student is very lucky, find the probability the student will get an B (with marks at least 60%). c) In the same exam, another student fell asleep and wakes up with 5 minutes left in the exam. What is the probability that the first question the student get right is the 5th question?

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