JAMB Mathematics 2009 Objective — Question 49
Question 49 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2009 Objective paper, with the correct answer and a full explanation.
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The probability of a student passing any examination is 2/3. If the student takes three examinations, what is the probability that he will not pass any of them?
- A. 2/3
- B. 4/9
- C. 8/27
- D. 1/27Correct
Explanation
Probability that he will pass = 2/3, then P(fail) = 1-2/3=1/3. Therefore, P(he will fail all three exams) = 1/3 x 1/3 x 1/3 = 1/27.
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