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\(\pi\)
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\(\frac{a}{b}\)
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The probability that a person has a rare disease is \(\frac{1}{100}\), and the probability that the person does not have the disease is \(\frac{99}{100}\).
If the person has the disease, the probability that the test detects it (positive result) is \(\frac{99}{100}\).
If the person does not have the disease, the probability that the test falsely detects it (positive result) is \(\frac{1}{100}\).
Let \(D\) be the event that the person has the disease.
Let \(T^+\) be the event that the test is positive.
Draw the probability tree diagram
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