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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Probability

NDA 2022 · Mathematics · Probability

The incidence of suffering from a disease among workers in an...

The incidence of suffering from a disease among workers in an industry has a chance of 3313%33 \frac{1}{3} \%. What is the probability that at least one out of 6 workers suffer from a disease?

Options

  1. A728729\frac{728}{729}
  2. B665729\frac{665}{729}
  3. C653729\frac{653}{729}
  4. D596729\frac{596}{729}

Correct answer

B. 665729\frac{665}{729}

Step-by-step solution

Let P=\mathrm{P}= probability of workers which in suffering from disease. =13∴q=1−13=23P(x≥1)=1−P(X=0)=1−64729=665729=\frac{1}{3}\therefore \mathrm{q}=1-\frac{1}{3}=\frac{2}{3}P(x \geq 1)=1-P(X=0)=1-\frac{64}{729}=\frac{665}{729}
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