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The probability of a student passing any exam is 2/3. If the student takes three...

Mathematics
JAMB 2002

The probability of a student passing any exam is 2/3. If the student takes three exams, what is the probability that he will not pass any of them?

  • A. 2/3
  • B. 4/9
  • C. 8/27
  • D. 1/27
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Correct Answer: Option D
Explanation

P(not passing exam) = \(1 - \frac{2}{3} = \frac{1}{3}\)

P(not passing any of the three exams) = \(\frac{1}{3} \times \frac{1}{3} \times \frac{1}{3}\)

= \(\frac{1}{27}\)


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