A carton of eggs (assume a carton contains a dozen eggs) contains two eggs that are cracke. In a quality effort, two eggs are selected, at random, without replacement from the carton.
(a) What is the probability that the first egg selected is cracked?
(b) What is the probability that the second egg selected is cracked given that the first one selected was cracked?
(c) What is the probability both eggs chosen are cracked?