passpadi

2009

Mathematics

67ca00ce0c643c71d77dee1f

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: 1/27

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

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
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