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One in fifty thousand people has a particular disease. A certain test to diagnose this disease is correct 98% of the time when someone has the disease, and 99.5% of the time when someone doesn’t. If tested positive (i.e. the test claims you have the disease), what is the probability that you actually do have the disease?

Your answer must be a percent accurate within a +-0.1 tolerance.

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Challenge by ynori7.