PMValue of imperfect information

Dear Sir, Hope you are well. I have question in relation with topic "Value of Imperfect Information" in text book Performance Management - BPP 2016. In page 205 - solution b relating to "weak" and "strong" economy, I cannot understand how to figure out the probabilities for each condition after obtaining the research information. As my understanding, the research states that: - if results is weak => 80% correct, subsequently option A is chosen, therefore we can work the EV = 0.8x50000 + 0.2x60000 = $52000. - If result of research states economy is strong=> 90% correct => choose option B. I worked out the EV is $92000 How do I calculate the EV of profit in imperfect Information in this case when there is no probability of "weak" and "strong" result of research? If I use the probability 0.4 for "strong" and 0.6 for "weak" economy from estimated figures at begining of example, the result is unmatch with the answer. Thank you in advance,