A multiple choice test consists of 8 questions with 3 answers (of which only one is correct). A student answers each question b rolling a balanced die and checking the first answer if he gets I or 2,...

Extracted text: A multiple choice test consists of 8 questions with 3 answers (of which only one is correct). A student answers each question b rolling a balanced die and checking the first answer if he gets I or 2, the second answer if he gets 3 or 4 and the third answer if he gets 5 or 6. To get a distinction, the student must secure at least 75% correct answers. If there is no negative marking, what is the probability that the student secures a distinction?