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) = .4 and P(B) = .7. %3D %3D a. If the Asian project is not successful, what is the probability that the European project is also not suc- cessful? Explain your reasoning. 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 success- ful, what is the probability that only the Asian project is successful?

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Chapter1: Combinatorial Analysis
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property does not hold.
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) = .4 and
P(B) = .7.
a. If the Asian project is not successful, what is the
probability that the European project is also not suc-
cessful? Explain your reasoning.
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 success-
ful, what is the probability that only the Asian project
is successful?
Transcribed Image Text:property does not hold. 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) = .4 and P(B) = .7. a. If the Asian project is not successful, what is the probability that the European project is also not suc- cessful? Explain your reasoning. 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 success- ful, what is the probability that only the Asian project is successful?
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