A multiple choice test consists of 8 questions with 3 answers (of which only one is correct). A student answers cach 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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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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?
Transcribed Image 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?
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