3-49. Suppose a gem dealer has a 90% chance of correctly discriminating between natural versus color-enhanced gemstones.

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3-49. Suppose a gem dealer has a 90% chance of correctly discriminating between natural versus color-enhanced gemstones. If the dealer does appraisals and 75% of the gems that he or she examines are actually natural, what is the probability that a gemstone is really color-enhanced, given that the dealer classifies it as such?

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