A company is considering producing a new children's bar soap. A market research firm has told the company that if they perform a survey, a positive survey of a favorable market occurs 65 percent of the time. That is, P(positive survey | favorable market) =0.40. These statistics indicate the accuracy of the survey. Prior to contacting the market research firm, the company's best estimate of a favorable market was 50 percent. So, P(favorable market) = 0.50 and P(unfavorable market) = 0.50. Using Bayes' theorem, determine the probability of a favorable market given a favorable survey.

A) 0.62

B) 0.38

C) 0.53

D) 0.65

E) None of the above