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) = 0.5 and P(B) = 0.6.(a) What is the probability that at least one of the two projects will be successful?(b) Given that at least one of the two projects is successful, what is the probability that only the Asian project is successful? (Round answer to three decimal places.)

Respuesta :

The restrictive likelihood is the main likelihood of ward occasions. It states that the ratio of the probabilities of events A and B multiplied by events B is the probability that event A is dependent on event B.

The probabilities are as follows:

P (A) = 0.5 P (B) = 0.6 (a) To determine the likelihood that at least one of the two projects will succeed:

P (A B) = P (A B) = P (A B) = P (A B) = P (A B) = 0.5 + 0.6 (0.5 0.6) = 0.5 + 0.6 0.3 = 1.1 0.3 P (A B) = 0.8 As a result, the probability that at least one of the two projects will be successful is 0.8.

b) Figuring out how likely it is that only the Asian project will succeed: P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P

And according to Complementary Law, B  B ′ = P ((A B ′)) P (A B) [Because A = A] = P (A B ′) P (A B) [Because A = A] = P (A B ′) P (A B) = P (A) P (B ′) P (A B) = P (A) P (B ′) P (A B) = P (A)

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