## Question

###### An oil exploration company currently has two active projects,one in Asia and the other in Europe. Let A bethe event that the Asian project is successfuland B be the event that the European project issuccessful. Supposethat A and B are independentevents with P(A)= 0.3 and P(B) = 0.9.(a)If the Asian project is not successful, what is the probabilitythat the European project is also not successful?Explain your reasoning.Since the events are not independent,then Aâ€² and Bâ€² are mutuallyexclusive.S

An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the event that the Asian project is successful and B be the event that the European project is successful. Suppose that A and B are independent events with P(A) = 0.3 and P(B) = 0.9. (a) If the Asian project is not successful, what is the probability that the European project is also not successful? Explain your reasoning. Since the events are not independent, then Aâ€² and Bâ€² are mutually exclusive.Since the events are independent, then Aâ€² and Bâ€² are mutually exclusive. Since the events are independent, then Aâ€² and Bâ€² are independent.Since the events are independent, then Aâ€² and Bâ€² are not independent. (b) What is the probability that at least one of the two projects will be successful? (c) Given that at least one of the two projects is successful, what is the probability that only the Asian project is successful? (Round your answer to three decimal places.) 12. [â€“/8.37 Points]DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHERSuppose that the proportions of blood phenotypes in a particular population are as follows: A B AB O 0.40 0.14 0.05 0.41 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? (Enter your answer to four decimal places.) What is the probability that the phenotypes of two randomly selected individuals match? (Enter your answer to four decimal places.)