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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 does not show symptoms of disease?

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

Best answer
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3 votes
$\text{Probability of being infected} = 0.5$

$\text{Probability of developing disease} = 0.3$

Only when a person develops disease he will show symptoms of it and whenever a disease is developed we can expect symptoms to be shown.

So, $\text{Probability of not showing symptoms} = 1-0.3 =0.7$

$\text{Probability of being infected and not showing any symptoms} = 0.5 \times 0.7 = 0.35$

Correct Answer: C $35\%$
1 votes
1 votes
Tuberculosis

Not infect.                              infected

50%.                                            50%

                                  Devlop dis.       Does not dev

                                   30%of 50.        70%of 50%

 

70/100 *50/100. =35/100=35%
0 votes
0 votes
Ans. A = 15%

Coz 30% of 50% will be infected. So 50% multiplied with 30% equals 15%
Answer:

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