Mathematics

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

The probability of a student passing any examination is 2/3. If the students takes three examination, what is the probability that he will not pass any of them
  • A.2/3
  • B.4/9
  • C.8/27
  • D.1/27
Correct Answer: Option D
Explanation

P(pass) = 2/3
P(not pass) = 1 – 2/3 = 1/3
P(not passing any of the 3 Exams) = 1/3 x 1/3 x 1/3
= 1/27