5. Mohammad Abdullah is a student taking a statistics course. Unfortunately, he is not a good student. He does not read the textbooks, does not do homework, and regularly misses class. He intends to rely on luck to pass the next quiz in an online multiple choice exam. The quiz consists of 10 multiple-choice questions, each question is for 1 mark. Each question has five possible answers, only one of which is correct. Mohammad Abdullah plans to guess the answer to each question. (a) What is the probability that he gets no answers correct? (b) What is the probability that he gets two answers correct? (c) What is the probability that he gets at most three answers correct? (d) A mark is considered a failure if it is less than 50% (5 out of 10). Find the probability that Mohammad Abdullah fails the quiz.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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5. Mohammad Abdullah is a student taking a statistics course. Unfortunately, he is not a good
student. He does not read the textbooks, does not do homework, and regularly misses class.
He intends to rely on luck to pass the next quiz in an online multiple choice exam. The quiz
consists of 10 multiple-choice questions, each question is for 1 mark. Each question has five
possible answers, only one of which is correct. Mohammad Abdullah plans to guess the
answer to each question.
(a) What is the probability that he gets no answers correct?
(b) What is the probability that he gets two answers correct?
(c) What is the probability that he gets at most three answers correct?
(d) A mark is considered a failure if it is less than 50% (5 out of 10). Find the probability
that Mohammad Abdullah fails the quiz.
Transcribed Image Text:5. Mohammad Abdullah is a student taking a statistics course. Unfortunately, he is not a good student. He does not read the textbooks, does not do homework, and regularly misses class. He intends to rely on luck to pass the next quiz in an online multiple choice exam. The quiz consists of 10 multiple-choice questions, each question is for 1 mark. Each question has five possible answers, only one of which is correct. Mohammad Abdullah plans to guess the answer to each question. (a) What is the probability that he gets no answers correct? (b) What is the probability that he gets two answers correct? (c) What is the probability that he gets at most three answers correct? (d) A mark is considered a failure if it is less than 50% (5 out of 10). Find the probability that Mohammad Abdullah fails the quiz.
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