Question: A batch of 10 fuses contains three defective ones. A sample of size two is taken at random and without replacement.
(a) Find the probability that the sample contains no defective fuses.
(b) Let X be the random variable denoting the number of defective fuses in the sample. Find the probability mass function of X.
(c) Given that X = 1, what is the probability that the defective fuse was the first one selected?