There has been a great deal of controversy over the last several years regarding what types of surveillance are appropriate to prevent terrorism. Suppose a surveillance system has a 99% chance of correctly identifying a future terrorist and a 99.9% chance of correctly identifying someone who is not a future terrorist. If there are 1000 future terrorists in a population of 300 million (300,000,000), and one of these 300 million is identified as a future terrorist, what is the probability that the person is actually a future terrorist?

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Answer:

0.000329

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Answer:

0.00328916 or 0.328916%

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