Discuss the below:
Q: A box contains 10 components of which 4 are damaged. You select 3 components from the box, one at a time without replacement (that is, you do not return them to the box).
(a) Determine the sample space for the experiment.
(b) Is this a binomial experiment? why or why not?
(c) Draw the probability tree for the experiment.
(d) What is the probability that the last component drawn (the third one) is a damaged one?
(e) Given that the last component drawn (the third one) is a damaged one, what is the probability that the second drawn component is not damaged?