ABC Company is ready to launch a new product domestically. Historically, the company's products have been successful domestically 92% of the time. This new product has been sold overseas for the past 6 months as this has been the traditional market strategy (test a product overseas before bringing it to the domestic market). Historically, products which are successful domestically were successful in the international market 90% of the time. Conversely, products which fail domestically had already failed internationally 93% of the time.
Determine the probability that this new product will be successful domestically if the product has not been successful overseas. Indicate your answer to four decimal places (i.e. 0.0001).