# Question

Before marketing new products nationally, companies often test them on samples of potential customers. Such tests have a known reliability. For a particular product type, a test will indicate success of the product 75% of the time if the product is indeed successful and 15% of the time when the product is not successful.

From past experience with similar products, a company knows that a new product has a 0.60 chance of success on the national market. If the test indicates that the product will be successful, what is the probability that it really will be successful?

From past experience with similar products, a company knows that a new product has a 0.60 chance of success on the national market. If the test indicates that the product will be successful, what is the probability that it really will be successful?

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