# GATE Mechanical 2016 Set 1 | GA Question: 6

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 remains infected but does not show symptoms of disease?

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

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