An oil exploration company currently has two active projects, one in Asia and theother in Europe. Let A be the event that the Asian project is successful and B be the eventthat the European project is successful. Suppose that A and B are independent eventswith P(A)=0.4 and P(B)=0.7.
a. If the Asian project is not successful, what is the probability that the European projectis also not successful? 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 successful, what is the probability thatonly the Asian project is successful?
I could actually do part a and b and I got .3 for a and .82 for part b.I don't know how to go about part c
I get the same answer I guess,
P(AB' and (A U B)) = P(AB') I used the venn diagram.So If something's in A and not in B and we AND it with what's in A and B then the common region is the region Of A that doesn't include B which is the same as AB'
which is (0.4) *(0.3)