Question

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) = 0.9..(a) If the Asian project is not successful, what is the probability that the European project is also not successful?______Explain your reasoning.(A) Since the events are independent, then A' and B' are independent, too.(B) Since the events are independent, then A' and B' are mutually exclusive.(C) Since the events are not independent, then A' and B' are mutually exclusive.(D) Since the events are independent, then A' and B' are not independent.

Answer 1

The probability that the European proyect is not succesfull is 0.1

Explanation:

Since A and B are independent, A' and B' are independent too.

The probability of B' is P(B')=1-P(B) = 1 - 0.9 = 0.1