In a workshop, there are five machines and the probability of any one of them to be out of service on a day is . If the probability that at most two machines will be out of service on the same day is , then is equal to
Explanation for Correct Answer:
Use the binomial distribution method to find the probability:
Given that five machines are in the workshop.
Let the probability of the machine being faulty be given by,
(given)
Therefore, the probability of the machine being non-faulty is given by:
.
Now,
Equate the obtained value with the given value
Hence, option (D) is correct.