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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 remains infected but do not show symptoms of disease?

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 do not show symptoms of disease? Correct Answer 35

Probability that a person is infected = 0.5

Out of the infected people,

Probability of developing disease = 0.3

Probability of not developing disease = 0.7

So probability that person infected but not showing symptoms = 0.5 × 0.7 = 0.35

So the percentage is 35%.

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