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
jamb 2002mathematics

The correct answer is D. 1/27

The probability of a student not passing any exam is (1 - 2/3) = 1/3. Since the exams are independent events, the probability of the student not passing all three exams is (1/3) (1/3) (1/3) = 1/27.

So, the probability that the student will not pass any of the three exams is 1/27.

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