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
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #9366)