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A person moving through a tuberculosis-prone zone has a 50% probability of becoming infected. However, only 30% of infected people develop the disease. What percentage of people moving through a tuberculosis-prone zone remain infected but do not show symptoms of the disease?

1. 15
2. 33
3. 35
4. 37

Correct answer: 35

Solution

50% become infected. Of those infected, 30% develop the disease, so 70% remain infected without symptoms. Therefore the required percentage is \(50\% \times 70\% = 35\%\).

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