Child’s Play, a producer of fast-moving consumer goods, is considering producing a new children’s soap. The company plans to commission a survey concerning the success or failure of a new product. A market research firm has told the company that there is a 0.65 probability that the survey will be positive given a favorable market. Similarly, there is a 0.40 probability that the survey will be positive given an unfavorable market. 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%. Using Bayes’ theorem, determine the probability of a favorable market given a favorable survey.