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 t...
Question 1 Report
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
Answer Details
The probability of passing any one of the three examinations is 2/3. Therefore, the probability of not passing any one of the exams is 1 - 2/3 = 1/3.
Since the student takes three examinations, the probability of not passing any of them is the probability of not passing the first exam multiplied by the probability of not passing the second exam multiplied by the probability of not passing the third exam.
So, the probability of not passing any of the three exams is (1/3) x (1/3) x (1/3) = 1/27.
Therefore, the answer is option (D), which is 1/27.
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