The probability of a student passing any examination is 2/3.
If the student takes three examinations,what is the probability that he will not pass any of them?
that's the same as failing all 3, each with probability 1/3, right?
Yes.
1/27
To find the probability that the student will not pass any of the three examinations, we can calculate the probability of not passing a single examination and then multiply it by itself three times.
Given that the probability of passing any examination is 2/3, the probability of not passing any examination would be 1 - 2/3, which simplifies to 1/3.
Now, to find the probability of not passing all three examinations, we multiply the probability of not passing a single examination (1/3) by itself three times.
(1/3) x (1/3) x (1/3) = 1/27
Therefore, the probability that the student will not pass any of the three examinations is 1/27.