MATHEMATICS
JAMB 2009 - Question 49
Mathematics 2009 JAMB Past Questions - Question 49: The probability of a student passing any examination is 2/3.if the student takes three examination ,What is the probability that he will not pass any of them?
A:
B:
C:
D:
Correct Answer
D
Explanation
p (pass) = 2/3p (fail) = 1/3p (pass three exams) = 1/3 x 1/3 x 1/3 = 1/27If the probability of a student passing any examination is 2/3, then the probability of not passing an examination is 1 - 2/3 = 1/3.Since the student takes three examinations, the probability of not passing any of them is (1/3) * (1/3) * (1/3) = 1/27.Therefore, the probability that the student will not pass any of the three examinations is 1/27.
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