An oil exploration company currently has two active projects, one in Asia and other in Europe. Let A be event that Asian project is successful and B be the event that the European project is successful. Assume that A and B are independent event with P(A) = .4 and P(B) = .7.
(a) If the Asian project isn't successful, determine the probability that the European project is also not successful? Discuss your reasoning.
(b) Determine the probability that at least one of the two projects will be successful?
(c) Given that at least one of the projects is successful, what is the probability that only the Asian project is successful?