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
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})